FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups   RegisterRegister 
 ProfileProfile   PreferencesPreferences   Log in to check your private messagesLog in to check your private messages   Log inLog in 
Forum index » Science and Technology » Physics » Electromagnetics
Moment of the Poynting vector is not spin once more
Post new topic   Reply to topic Page 1 of 1 [14 Posts] View previous topic :: View next topic
Author Message
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Thu Apr 27, 2006 10:57 am    Post subject: Moment of the Poynting vector is not spin once more Reply with quote

A common opinion that a moment of the Poynting vector is spin is a
common delusion due to a serious defect of the general field theory. We
present a circularly polarized Laguerre-Gaussian beam without an
azimuth phase structure as an evidence of this. It is shown that the
moment of the Poynting vector in this beam is an orbital angular
momentum, not spin. Meanwhile, this beam, as well as a circularly
polarized plane wave, clearly carries spin. But the standard
electrodynamics does not sight it. Spin tensor of the standard
electrodynamics is zero. So, this delusion causes many conflicts,
vagueness, and paradoxes concerning electromagnetic angular momentum.
The only way to resolve the paradoxes is to use an electrodynamics spin
tensor, which we introduced into the electrodynamics and demonstrate in
this paper.

This paper is published at www.sciprint.org and
www.mai.ru/projects/mai_works/articles/num22/article7/auther.htm

Unfortunately this paper was rejected by J. Opt. A and by JOSAB three
times. The last rejection was:

"Dear Dr. Khrapko:
I have received the reviewers' comments on your paper, appended below.
In view of the comments, I cannot accept your paper for publication in
the Journal of the Optical Society of America B.
A paper is acceptable for publication in JOSA B only if the reviewers
are convinced that, in addition to being correct technically, it also
adds a new and important result to the field.- The reviewers did not
find that your paper meets this criterion.-
Thank you for submitting your paper to JOSA B.- I regret that it is not
possible to send you a more favorable report on this manuscript, and I
hope that you will continue to consider JOSA B for future submissions.
Sincerely, Allan Boardman Topical Editor, JOSA B
Reviewer comments are provided here:
Reviewer 1
I have already recently rejected the paper by Khrapko from another
journal .
Reviewer 2
Please see my review of manuscript no. 66941. I see no reason to repeat
my comments for that manuscript here, as this manuscrip (no. 68611) is
trivially different from its predecessor."

My answer is:

"Dear Allan Boardman,
L. Allen et al., M. J. Padgett, R. Loudon, R. Zambrini, S. M. Barnett,
J D Jackson, J. W. Simmons, M. J. Guttmann, A. M. Stewart, H. C.
Ohanian, J. H. Crichton, P. L. Marston, W. Heitler, and others assert
that moment of the Poynting vector is spin. For example, H. C. Ohanian
wrote, "This angular momentum is the spin of the wave". However, I
prove that moment of the Poynting vector is NOT spin. I prove that spin
must be added to the moment of the Poynting vector. Against this
background your decision seems to be a disgrace to JOSAB. Your decision
encourages poverty of your reviewers. They could not write a new word
since March 1 to April 23. However, possibly, they gave the false
comments knowingly for the sake of defending of the corporate
interests. I ask for changing the decision and publishing my paper. It
would be a good thing to include a figure into the page 2 (see the
attachment 75-5JOSAB. Note, this is not a resubmission).
Sincerely,
Radi Khrapko"
Back to top
Timo Nieminen
science forum Guru Wannabe


Joined: 12 May 2005
Posts: 244

PostPosted: Thu Apr 27, 2006 1:09 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

On Thu, 27 Apr 2006 khrapko_ri@hotmail.com wrote:

Quote:
A common opinion that a moment of the Poynting vector is spin is a
common delusion due to a serious defect of the general field theory.

Is this a common opinion? The moment of the Poynting vector is trivially
shown to not be spin, since it depends on the choice of origin of the
coordinate system used. In particular, choose the origin to be at the
point of "measurement", and the moment of the Poynting vector is 0. Hence,
not spin, by definition.

Quote:
We
present a circularly polarized Laguerre-Gaussian beam without an
azimuth phase structure as an evidence of this. It is shown that the
moment of the Poynting vector in this beam is an orbital angular
momentum, not spin.

An LG beam with no azimuthal phase variation has l=0 (ie the usual LG
azimuthal mode index). Given that the Poynting vector in this case is
purely in the direction of propagation of the beam, how can the moment of
the Poynting vector (ie the component of it about the beam axis) be
anything other than zero?

(will look at your paper, but have been able to do so yet)

Quote:
Meanwhile, this beam, as well as a circularly
polarized plane wave, clearly carries spin.

... except to those who believe that a circularly polarised plane wave
carries no angular momentum!

Quote:
But the standard
electrodynamics does not sight it. Spin tensor of the standard
electrodynamics is zero. So, this delusion causes many conflicts,
vagueness, and paradoxes concerning electromagnetic angular momentum.
The only way to resolve the paradoxes is to use an electrodynamics spin
tensor, which we introduced into the electrodynamics and demonstrate in
this paper.

This paper is published at www.sciprint.org and
www.mai.ru/projects/mai_works/articles/num22/article7/auther.htm

--
Timo Nieminen - Home page: http://www.physics.uq.edu.au/people/nieminen/
E-prints: http://eprint.uq.edu.au/view/person/Nieminen,_Timo_A..html
Shrine to Spirits: http://www.users.bigpond.com/timo_nieminen/spirits.html
Back to top
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Fri May 05, 2006 12:23 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

Dear Timo,
I did not hear you much time. I am glad you replied my post. Your
replies permit me to hope that our world is not so awful. I concluded
that the editors and the referees are rascals. But your questions prove
that they, probably, are fools.
Your questions forced me to rewrite this paper. I have posted at
www.sciprint.org "Moment of the Poynting vector is not spin. V. 2".
I explain that the azimuthal component of the Poynting vector consists
of two terms. The first term is proportional to the azimuthal index l
and is independent on polarization. This term holds for a linearly
polarized beam, but vanishes if the beam has no azimuthal phase
variation. Moment of this term is identified as the orbital angular
momentum. The second term of the Poynting vector is independent on l.
This term is known very well. In the case of the simple Jackson's
beam, or a Gaussian beam, i.e. the Laguerre-Gaussian beam with l=p=0,
it is the Poynting vector located on the surface of a circularly
polarized beam.
Unfortunately, moment of the second term of the Poynting vector,
according to the common opinion, unlike the moment of the first term,
is called a spin of the beam. Ohanian wrote: "This angular momentum is
the spin of the wave." Allen and Padgett wrote: "The second term
relates to the spin contribution". Zambrini and Barnett wrote: "The
spin angular momentum density depends on the radial gradient of the
intensity".
I raised objections against this delusion many times. Now I consider
the second term for the Laguerre-Gaussian beam with l=0, p=1. Such a
beam has two virtues: this beam contains only the second term; the
negative radial gradient of the intensity is placed inside the beam,
and a region with a positive radial gradient of the intensity exists.
These virtues help to prove more convincingly that moment of the
Poynting vector is an orbital angular momentum.

Unfortunately, Dr. Boardman, Topical Editor, JOSA B, rejected this
paper again on May 2, 2006
He wrote:
"Dr. Khrapko: The negative responses that I have received concerning
you paper compel me to stand by my decision to reject your paper. I am
not able to find a reason to reverse my decision which is now final."

My answer is:
"Dr. Boardman is not able to indicate a reason to reject my paper as
well as his reviewers are. Nevertheless he rejects it. So he breaks
principles of science to defend the authorities from the criticism.
Now I continue my research of Elsevier. I have sent this paper to
Annals of Physics. I wonder, do all Elsevier editors not hesitate to
dissemble facts that are contrary to physics authorities position as
well as APS editors do (see my posts "Editors of Phys. Rev. A evade
problems")?"

Cordially, Radi Khrapko
Back to top
Josef Matz
science forum Guru Wannabe


Joined: 08 May 2005
Posts: 255

PostPosted: Sat May 06, 2006 9:51 am    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

Radi

A plane circular or elliptic polarised wave also transports spin and not
only on gradients of intensity.

<khrapko_ri@hotmail.com> schrieb im Newsbeitrag
news:1146831827.380776.268310@u72g2000cwu.googlegroups.com...
Quote:
Dear Timo,
I did not hear you much time. I am glad you replied my post. Your
replies permit me to hope that our world is not so awful. I concluded
that the editors and the referees are rascals. But your questions prove
that they, probably, are fools.
Your questions forced me to rewrite this paper. I have posted at
www.sciprint.org "Moment of the Poynting vector is not spin. V. 2".
I explain that the azimuthal component of the Poynting vector consists
of two terms. The first term is proportional to the azimuthal index l
and is independent on polarization. This term holds for a linearly
polarized beam, but vanishes if the beam has no azimuthal phase
variation. Moment of this term is identified as the orbital angular
momentum. The second term of the Poynting vector is independent on l.
This term is known very well. In the case of the simple Jackson's
beam, or a Gaussian beam, i.e. the Laguerre-Gaussian beam with l=p=0,
it is the Poynting vector located on the surface of a circularly
polarized beam.
Unfortunately, moment of the second term of the Poynting vector,
according to the common opinion, unlike the moment of the first term,
is called a spin of the beam. Ohanian wrote: "This angular momentum is
the spin of the wave." Allen and Padgett wrote: "The second term
relates to the spin contribution". Zambrini and Barnett wrote: "The
spin angular momentum density depends on the radial gradient of the
intensity".
I raised objections against this delusion many times. Now I consider
the second term for the Laguerre-Gaussian beam with l=0, p=1. Such a
beam has two virtues: this beam contains only the second term; the
negative radial gradient of the intensity is placed inside the beam,
and a region with a positive radial gradient of the intensity exists.
These virtues help to prove more convincingly that moment of the
Poynting vector is an orbital angular momentum.

Unfortunately, Dr. Boardman, Topical Editor, JOSA B, rejected this
paper again on May 2, 2006
He wrote:
"Dr. Khrapko: The negative responses that I have received concerning
you paper compel me to stand by my decision to reject your paper. I am
not able to find a reason to reverse my decision which is now final."

My answer is:
"Dr. Boardman is not able to indicate a reason to reject my paper as
well as his reviewers are. Nevertheless he rejects it. So he breaks
principles of science to defend the authorities from the criticism.
Now I continue my research of Elsevier. I have sent this paper to
Annals of Physics. I wonder, do all Elsevier editors not hesitate to
dissemble facts that are contrary to physics authorities position as
well as APS editors do (see my posts "Editors of Phys. Rev. A evade
problems")?"

Cordially, Radi Khrapko
Back to top
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Sat May 06, 2006 6:20 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

Dear Josef,
You do not read my posts!
I wrote: >Meanwhile, this beam, as well as a circularly polarized plane
wave, clearly carries spin.
Radi
Back to top
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Sun May 28, 2006 10:35 am    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

Dear Timo,
Please help me to diagnose F. Wilczek, Editor-in-Chief, Annals of
Physics. He rejected my paper "Moment of the Poynting vector is not
spin". He wrote:

"Dear Dr. Khrapko, I regret to inform you that I have made a decision
against publication, as I find the paper to be argumentative over what
are basically matters of terminology."

My answer was:
"Dear F. Wilczek, Editor-in-Chief, Annals of Physics,
You must not be guided by titles of submissions. You must, at the
minimum, read Abstracts. If you read the abstract of my paper, you will
see that a circularly polarized beam, as well as a circularly polarized
plane wave, carries spin. But the standard electrodynamics denies it
because the spin tensor of the standard electrodynamics is zero. So,
the common delusion causes many mistakes, conflicts, vagueness, and
paradoxes concerning electromagnetic angular momentum. The only way to
resolve the problems is to use an electrodynamics spin tensor, which we
introduced into the electrodynamics and demonstrate in this paper.
I would be grateful if this paper enters the peer-review process. Can I
hope? "

Radi Khrapko
Back to top
Herman Family
science forum Guru Wannabe


Joined: 14 Jun 2005
Posts: 173

PostPosted: Wed May 31, 2006 4:39 am    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

<khrapko_ri@hotmail.com> wrote in message
news:1148812531.532031.77160@38g2000cwa.googlegroups.com...
Quote:
Dear Timo,
Please help me to diagnose F. Wilczek, Editor-in-Chief, Annals of
Physics. He rejected my paper "Moment of the Poynting vector is not
spin". He wrote:

"Dear Dr. Khrapko, I regret to inform you that I have made a decision
against publication, as I find the paper to be argumentative over what
are basically matters of terminology."

My answer was:
"Dear F. Wilczek, Editor-in-Chief, Annals of Physics,
You must not be guided by titles of submissions. You must, at the
minimum, read Abstracts. If you read the abstract of my paper, you will
see that a circularly polarized beam, as well as a circularly polarized
plane wave, carries spin. But the standard electrodynamics denies it
because the spin tensor of the standard electrodynamics is zero. So,
the common delusion causes many mistakes, conflicts, vagueness, and
paradoxes concerning electromagnetic angular momentum. The only way to
resolve the problems is to use an electrodynamics spin tensor, which we
introduced into the electrodynamics and demonstrate in this paper.
I would be grateful if this paper enters the peer-review process. Can I
hope? "

Radi Khrapko


The solution is quite simple. Find another topic and write about it.
Arguing with the editor will simply get you confirmed (in their minds) as
another one of those amateur physicists who paw over old material and argue
that it is missing something or another. Unfortunately, they probably have
quite a long list.

Michael
Back to top
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Fri Jun 02, 2006 5:36 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

Herman Family wrote:
Quote:
The solution is quite simple. Find another topic and write about it.
Arguing with the editor will simply get you confirmed (in their minds) as
another one of those amateur physicists who paw over old material and argue
that it is missing something or another. Unfortunately, they probably have
quite a long list.

Michael

Dear amateur reader, what problem solution is quite simple?
Electrodynamics' spin tensor? Transfer of spin to a mirror? Defect of
the field theory? Radiation of a rotating dipole? Mistakes of hundreds
professional physicists?

Radi
Back to top
Timo Nieminen
science forum Guru Wannabe


Joined: 12 May 2005
Posts: 244

PostPosted: Fri Jun 02, 2006 10:59 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

On Sun, 28 May 2006, khrapko_ri@hotmail.com wrote:

Quote:
Dear Timo,
Please help me to diagnose F. Wilczek, Editor-in-Chief, Annals of
Physics. He rejected my paper "Moment of the Poynting vector is not
spin".

Can you email the paper to me? The newest version didn't seem so be
available on sciprints. At least not to me.

I still think you're double-counting. Standard result of
J = integral of rxS over a finite beam (which doesn't require angular
momentum density j=rxS) gives the same quantity as your spin tensor, but
you add both together and say the angular momentum is double. This is one
difficulty with your papers. Can you write a paper avoiding this?

Other than that, write for clarity, and avoid controversial statements.

Is the following a reasonable summary of your main point?:

The canonical energy-momentum tensor has problems, which is why everybody
modifies it to get the symmetrised E-M tensor. The two usual paths to
angular momentum of an EM field are (a) to take the moment of the Poynting
vector, which is clearly wrong, since this would mean that EM fields can't
carry spin or (b) obtain an AM tensor from the canonical E-M tensor.
Neither is satisfactory, since (a) is wrong and (b) inherits all the
problems of the canonical E-M tensor. Therefore, in a similar way to the
way in which the symmetric E-M tensor is obtained (yielding the Maxwell
stress tensor), obtain a spin tensor from the canonical AM tensor, with
the advantages of being correct and avoiding the canonical tensor
problems.

Perhaps we could write a paper together? I'll have plenty of time after
August, perhaps enough before then too.

--
Timo
- sorry about the delay, I had such fun with deadlines lately!
Back to top
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Sat Jun 03, 2006 1:45 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

Timo A. Nieminen wrote:
Quote:
Can you email the paper to me? The newest version didn't seem so be
available on sciprints. At least not to me.
---I am emailing this paper to you (Moment of the Poynting vector is

not spin. V. 2. pdf).
Quote:

I still think you're double-counting. Standard result of
J = integral of rxS over a finite beam (which doesn't require angular
momentum density j=rxS) gives the same quantity as your spin tensor, but
you add both together and say the angular momentum is double. This is one
difficulty with your papers. Can you write a paper avoiding this?
---Yes I can. My paper "Absorption of a circularly polarized light

beam. Criticism of the Loudon's paper" does not use a spin tensor to
show that the torque acting on dielectric is twice as much as in Phys
Rev A68 013806. This my paper was published in Russian at
http://www.mai.ru/projects/mai_works/articles/num16/article8/auther.htm
on June 28, 2004. This paper entitled
"Discrepancy-between-theory-and-experiment" was published at
www.sciprit.org on May 29, 2005, and entitled
"Calculation-of-absorbed-spin" was published at www.sciprit.org on Dec
1, 2005. Unfortunately, these papers were rejected by PRA, PRE, JMO,
PRL, JETP, JOPA. Now a last version, "Absorption of a circularly
polarized beam in a dielectric, etc", is considered by JOSAA. I am
sending this version to you (72-7JOSAA.pdf).
Quote:

Other than that, write for clarity, and avoid controversial statements.

Is the following a reasonable summary of your main point?:

The canonical energy-momentum tensor has problems, which is why everybody
modifies it to get the symmetrised E-M tensor.
---The canonical formalism gives two canonical tensors: canonical E-M

tensor and canonical spin tensor which both are clearly wrong.
Everybody modifies the canonical E-M tensor by the Belinfante-Rosenfeld
procedure and pays no attention on the canonical spin tensor. All
physicists think that the Belinfante-Rosenfeld procedure symmetrizes
canonical E-M tensor, but they are mistaken. This procedure leads to a
nonsymmetrical stupid Belinfante tensor and eliminates spin tensor.

Quote:
The two usual paths to
angular momentum of an EM field are (a) to take the moment of the Poynting
vector, which is clearly wrong, since this would mean that EM fields can't
carry spin or (b) obtain an AM tensor from the canonical E-M tensor.
Neither is satisfactory, since (a) is wrong and (b) inherits all the
problems of the canonical E-M tensor. Therefore, in a similar way to the
way in which the symmetric E-M tensor is obtained (yielding the Maxwell
stress tensor), obtain a spin tensor from the canonical AM tensor, with
the advantages of being correct and avoiding the canonical tensor
problems.
--- A true E-M tensor, i.e. the Maxwell tensor, as well as a true spin

tensor, cannot be obtained from the canonical tensors. We recognized
the Maxwell tensor besides the canonical formalism. But knowing of the
Maxwell tensor permits us to know the true spin tensor using the
canonical tensors.

Cordially,
Radi
Back to top
FrediFizzx
science forum Guru


Joined: 01 May 2005
Posts: 774

PostPosted: Sat Jun 03, 2006 5:57 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

<khrapko_ri@hotmail.com> wrote in message
news:1149342327.717263.92960@h76g2000cwa.googlegroups.com...
Quote:

Timo A. Nieminen wrote:
Can you email the paper to me? The newest version didn't seem so be
available on sciprints. At least not to me.

Radi, can you please email it to me also? The interface on
http://www.sciprint.org seems to be broken for that ver2 document. I
couldn't download it either.

FrediFizzx

Quantum Vacuum Charge papers;
http://www.vacuum-physics.com/QVC/quantum_vacuum_charge.pdf
or postscript
http://www.vacuum-physics.com/QVC/quantum_vacuum_charge.ps
http://www.arxiv.org/abs/physics/0601110
http://www.vacuum-physics.com
Back to top
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Sat Jun 03, 2006 8:44 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

FrediFizzx wrote:
Quote:
Timo A. Nieminen wrote:
Can you email the paper to me? The newest version didn't seem so be
available on sciprints. At least not to me.

Radi, can you please email it to me also? The interface on
http://www.sciprint.org seems to be broken for that ver2 document. I
couldn't download it either.

FrediFizzx
Of course

Radi
Back to top
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Wed Jun 14, 2006 12:12 pm    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

In a paper "Moment of the Poynting vector is not spin" submitted to
Physical Review A, I show a common opinion that a moment of the
Poynting vector is spin is a common delusion due to a serious defect of
the general field theory. I present a circularly polarized
Laguerre-Gaussian beam without an azimuth phase structure as an
evidence of this. It is shown that the moment of the Poynting vector in
this beam is an orbital angular momentum, not spin. Meanwhile, this
beam, as well as a circularly polarized plane wave, clearly carries
spin. But the standard electrodynamics does not sight it. Spin tensor
of the standard electrodynamics is zero. So, this delusion causes many
mistakes, vagueness, and paradoxes concerning electromagnetic angular
momentum. The only way to resolve the problems is to use an
electrodynamics spin tensor, which we introduced into the
electrodynamics and demonstrate in this paper.

Unfortunately, Gordon W.F. Drake, Editor of PRA cannot accept new
physics, or he defends the corporate interests. So he rejected this
paper. He wrote on June 14, 2006:

"A strict criterion for acceptance in this journal is that manuscripts
must convey new physics. To demonstrate this fact, existing work on
the subject must be briefly reviewed and the author(s) must indicate in
what way existing theory is insufficient to solve certain specific
problems, then it must be shown how the proposed new theory resolves
the difficulty. Your paper does not satisfy these requirements, hence
we regret that we cannot accept it for publication."

Earlier I wrote that Gordon W.F. Drake and his Referee deny a transfer
of angular momentum from an electromagnetic wave to a mirror. Thus,
they state that the angular momentum conservation law is broken when an
electromagnetic wave is reflected from a mirror. Such men cannot rule
this journal's Editorial Policies.

The last rejection confirms my statement.

Radi Khrapko
Back to top
Radi Khrapko
science forum Guru Wannabe


Joined: 04 May 2005
Posts: 142

PostPosted: Thu Jun 22, 2006 10:00 am    Post subject: Re: Moment of the Poynting vector is not spin once more Reply with quote

This is a lie that a strict criterion for acceptance in APS journals is
manuscripts must convey new physics. My papers prove that the absence
of spin is a serious defect of Maxwell electrodynamics. But they were
rejected by APS journals more than 20 times. In particular "Moment of
the Poynting vector is not spin" was rejected by PRA & PRL without an
argumentation. Jane Throwe wrote on June 21, 2006, "We consider the
manuscript that you have submitted to be a resubmission of AT10082 that
you submitted previously to PRA.Your manuscript has been considered.
We regret to inform you that we have concluded that it is not suitable
for publication in Physical Review Letters."

The criterion for acceptance in APS journals is manuscripts must
protect the corporate interests.

Radi Khrapko
Back to top
Google

Back to top
Display posts from previous:   
Post new topic   Reply to topic Page 1 of 1 [14 Posts] View previous topic :: View next topic
The time now is Wed Jan 07, 2009 9:58 pm | All times are GMT
Forum index » Science and Technology » Physics » Electromagnetics
Jump to:  

Similar Topics
Topic Author Forum Replies Last Post
No new posts Infinitesimal generator of a vector f... Julien Santini Math 0 Fri Jul 21, 2006 8:01 am
No new posts Vector field flow problem - help? Daniel Nierro Math 1 Wed Jul 19, 2006 10:28 am
No new posts The geometric representation of spin ... Josef Matz Electromagnetics 0 Mon Jul 17, 2006 6:35 am
No new posts coherent sheaves versus vector bundles John Baez Research 2 Wed Jul 12, 2006 6:27 am
No new posts ? VECTOR AND MATRIX MANAPLUATION Cheng Cosine Math 0 Mon Jul 03, 2006 6:49 pm

Remortgage | Personal Loans | Mobile Phones | Mortgages | Buy Anything On eBay
Copyright © 2004-2005 DeniX Solutions SRL
Other DeniX Solutions sites: Electronics forum |  Medicine forum |  Unix/Linux blog |  Unix/Linux documentation |  Unix/Linux forums


Powered by phpBB © 2001, 2005 phpBB Group
[ Time: 0.4698s ][ Queries: 16 (0.2071s) ][ GZIP on - Debug on ]