Russian 物理學金融家 Ilinski,K 寫了 "金融物理学:非均衡定价中的测量建模", 机械工业出版社, 2003. 有人評價: "原书本身是一本难读的书，翻译更差 “如“gauge field---测量场”应翻译成“规范场”。“Coherent state---一致状态”应翻译成“相干态”他的规范场应该是量子场论意义上的
A Garden of Quanta: Essays in Honor of Hiroshi Ezawa
https://books.google.com/books?isbn=9812795103
Jiro Arafune, Hiroshi Ezawa - 2003 - Electronic books
Casimir force at zero-temperature was derived directly and simply as the Lorentz force acting ... is that instead of calculating the expectation value of the Lorentz force in the vacuum state, we have to calculate it in the thermal equilibrium state.Stochastic electrodynamics - Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Stochastic_electrodynamics
The background field is introduced as a Lorentz force in the (classical) ... are chosen to match the vacuum expectation values of the equivalent operators in QED. ... (f) is expected to have an energy of hf/2, equaling that of the ground state of the ... both such zero-point fields as well as Lifshitz forces of thermal fluctuations.
Wikipedia
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[PDF]Chapter 4 The quantum theory of light
www.uio.no/studier/emner/matnat/fys/.../Kapittel4.pdf
of the Lorentz force, by assuming conservation of energy and conservation of momentum. ..... operator which creates one photon from the vacuum,. ˆa. † ... we note that the expectation value of the electric field takes the usual form of a .... source, we consider light in a thermal state described by a density operator of the form.
University of Oslo
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[PDF]Interaction of the Quantum Vacuum with an Accelerated ...
www.calphysics.org/articles/QED_Inertia.pdf
by H Sunahata - 2006 - Cited by 4 - Related articles
California State University, Long Beach in partial fulfillment of the ... vacuum expectation value of the ZPF Poynting vector corresponding to the field .... the Lorentz force the ZPF exerts upon the accelerating harmonic oscillator was calcu- ... between matter and field oscillators if they are in thermal contact to attain statistical.[PDF]Correlation Functions for Homogeneous, Isotropic Random ...
www.bu.edu/simulation/publications/.../PRD051986.pd...
Boston University
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by DС Cole - 1986 - Cited by 13 - Related articles
May 15, 1986 - forcess'7 or of the thermal effects of electromagnetic di- pole systems ..... replacing the vacuum state [0) on the left-hand sides of. Eqs. (29) and (30) by ... The expectation value of the Lorentz force on one of the oscillators will ...[PDF]Nonlinear Electrodynamics and QED - arXiv
arxiv.org/pdf/hep-th/0309108
arXiv
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by D Delphenich - 2003 - Cited by 25 - Related articles
changing the state of that field assumes that there always exists a particle ..... extended electron model, besides the problem of defining a Lorentz invariant energy- ... electromagnetic interaction and counteracted that force, but only over a range of ..... appearance of a non-zero value for the vacuum expectation value of the ...[PDF]Dispersive forces on bodies and atoms: a unified approach
arxiv.org/pdf/quant-ph/0602059
arXiv
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by C Raabe - 2006 - Cited by 18 - Related articles
Feb 5, 2006 - The ground-state expectation value of the Lorentz force density in linear .... Extension of the theory to include thermal states is straightforward. IV. ...... rive at Eq. (40). [1] P. W. Milonni, The Quantum Vacuum—An Introduction.[PDF]Macroscopic QED in Linearly Responding Media and a ...
www.db-thueringen.de/servlets/DerivateServlet/Derivate-15250
system can be assumed to be in its ground state (vacuum), where only quan- .... the ground-state expectation value of the Lorentz force density acting on the ...... ture of them such as a thermal state, then all one-time averages are time-.[PDF]Approximate Lorentz invariance of the vacuum: a physical ...
cds.cern.ch/record/620987/files/0306070.pdf
CERN
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by M Consoli - 2003 - Cited by 5 - Related articles
not the physical ground state of the interacting theory. ..... inates for k → 0 and gives rise to a weak, attractive long-range force proportional to 1/c2 s. [29]. To this end, let us ..... vacuum expectation value of the bare scalar field Φ(x) defined at the cutoff scale. On the ...... index, non-linear electrodynamics, thermal vacua,...).Lorentz invariance and the vacuum expectation value of ...
physics.stackexchange.com/.../lorentz-invariance-and-the...
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Jun 8, 2012 - "Lorentz invariance forces the vacuum expectation values of any higher ... If is a field of spin 1 with then applying the Lorentz transform we find ...
Lorentz invariance and the vacuum expectation value of fields with spin > 0
I had a question about Moduli space, which I was reading about here, but then I read this sentence:
"Lorentz invariance forces the vacuum expectation values of any higher spin fields to vanish."Can someone explain how exactly this happens? Or at least suggest an exercise to carry out? | |||
There is a Lorentz transformation that maps a spacelike vector
For other spins the argument is similar. You are welcome to try the spinor case as an exercise. | |||||||||||||||||
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