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1.
General Minkowski vacuum state is seen to be equivalent to a thermal bath for a Rindler uniformly accelerated observer. This paper calculates the generalized uncertainty relation of one-dimensional Rindler oscillator in the coordinate representation. The calculations show that for a Rindler uniformly accelerated observer there is not only general quantum fluctuation but also thermal fluctuation related to his acceleration. 相似文献
2.
O. Brauer E. Kirchuk L. Raviola M. Socolovsky 《International Journal of Theoretical Physics》2014,53(1):333-338
We compute the entropy of a Rindler particle-detector (observer) in the presence of a quantum field in the Minkowski vacuum state; due to the Unruh effect, the observer is immersed in a thermal bath at a temperature proportional to its proper acceleration. 相似文献
3.
It is pointed out that the usual (Gibbs) thermal equilibrium state in Minkowski spacetime is no longer a thermal equilibrium
state for a uniformly accelerated observer. Similarly, the thermal equilibrium state in Kruskal spacetime is not a thermal
state for a Schwarzschild observer. 相似文献
4.
在平衡态条件下,利用格林函数的欧氏生成泛函讨论了具有视界的Rindler时空和黑洞时空中量子场温度的几何来源。在Minkowski时空到Rindler时空的变换下,绝对零度格林函数欧氏生成泛函的路径积分表示变换为有限温度量子场的相应表示,说明Minkowski真空态和Rindler时空中的一量子混合态性质相同,导出了这个态的温度格林函数及各热力学格林函数。对于Schwarzschild,Reissner-Nordstrom和Kerr黑洞,得到了类似的结果,并获得了描写量子混合态的统计算符的具体形式。
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5.
The generating functional approach to Green functions in the thermal equilibrium is used to explore the geometrical origin of the temperatures of the quantum fields in the Rindler space-time and black hole spacetimes. It is shown that under the transformation from Minkowski space to the Rindler space the path integral representation for the Euclidean generating functionals of Green functions at zero temperature would transform into the corresponding ones of the quantum fields at a certain finite temperature, and the Minkowski vacuum state would have the same properties as that of the quantum mixed state at the same temperatfire. All thermal Green functions for the mixed state are given. Similar results would be obtained for the Schwarzschild, the Reissner-NordstrOm and the Kerr black holes and whereupon the Hawking temperature for the black holes would have geometrical origin as well as that in the Rindler spacetime. The various density operators of the mixed states at the Hawking temperature for the black hole sacetimes are specified. 相似文献
6.
The stability problem of the Rindler spacetime is carefully
studies by using the scalar wave perturbation. Using two different
coordinate systems, the scalar wave equation is investigated. The
results are different in the two cases. They are analysed and
compared with each other in detail. The following conclusions are
obtained: (a) the Rindler spacetime as a whole is not stable; (b) the
Rindler spacetime can exist stably only as part of the Minkowski
spacetime, and the Minkowski spacetime can be a real entity
independently; (c) there are some defects for the scalar wave
equation written by the Rindler coordinates, and it is unsuitable for
the investigation of the stability properties of the Rindler
spacetime. All these results may shed some light on the stability
properties of the Schwarzschild black hole. It is natural and
reasonable for one to infer that: (a) perhaps the Regge--Wheeler
equation is not sufficient to determine
the stable properties; (b) the Schwarzschild black hole as a whole
might be really unstable; (c) the Kruskal spacetime is stable and can
exist as a real physical entity; whereas the Schwarzschild black hole
can occur only as part of the Kruskal spacetime. 相似文献
7.
Hawking Radiation of Dirac Particles on Rindler Horizon to a
Uniformly Accelerating Observer 总被引:1,自引:0,他引:1
ZHANGJinK-Yi 《理论物理通讯》2003,40(2):244-246
Following the method of Damour and Ruffini, the Hawking radiation of Dirac particles on Rindler horison to a uniformly accelerating observer is studied this paper. The temperature on Rindler horizon surface and the thermal spectrum formula of Dirac particles are obtained. The result is discussed. 相似文献
8.
9.
The thermal spectrum seen by accelerated observers in Minkowski space vacuum, the Unruh effect, is derived within the tunneling mechanism. This is a new result in this mechanism and it completes the treatment of Unruh effect via tunneling. Both Bose–Einstein and Fermi–Dirac spectrum is derived by considering tunneling of scalar and spin half particles respectively, across the accelerated Rindler horizon. Full solutions of massless Klein–Gordon and Dirac equations in the Rindler metric are employed to achieve this, instead of approximate solutions. 相似文献
10.
On the Accelerated Observer’s Proper Coordinates and the Rigid Motion Problem in Minkowski Spacetime
J. B. Formiga 《Brazilian Journal of Physics》2014,44(1):95-101
Physicists have been interested in accelerated observers for quite some time. Since the advent of special relativity, many authors have tried to understand these observers in the framework of Minkowski spacetime. One of the most important issues related to these observers is the problematic definition of rigid motion. In this paper, I write the metric in terms of the Frenet–Serret curvatures and the proper coordinate system of a general accelerated observer. Then, I use this approach to create a systematic way to construct a rigid motion in Minkowski spacetime. Finally, I exemplify the benefits of this procedure by applying it to two well-known observers, namely, the Rindler and the rotating ones, and also by creating a set of observers that, perhaps, may be interpreted as a rigid cylinder which rotates while accelerating along the axis of rotation. 相似文献
11.
It is shown that quantization on the Fulling modes presupposes that the field vanishes on the spatial boundaries of the Rindler
manifold. For this reason, Rindler space is physically unrelated with Minkowski space and the state of a Rindler observer
cannot be described by the equilibrium density matrix with the Fulling-Unruh temperature. Therefore it is pointless to talk
about an Unruh effect. The question of the behavior of an accelerated detector in the physical formulation of the problem
remains open.
Pis’ma Zh. éksp. Teor. Fiz. 65, No. 12, 861–866 (25 June 1997) 相似文献
12.
The quantized free Dirac field is considered on Minkowski spacetime (of general dimension). The Dirac field is coupled to
an external scalar potential whose support is finite in time and which acts by a Moyal-deformed multiplication with respect
to the spatial variables. The Moyal-deformed multiplication corresponds to the product of the algebra of a Moyal plane described
in the setting of spectral geometry. It will be explained how this leads to an interpretation of the Dirac field as a quantum
field theory on Moyal-deformed Minkowski spacetime (with commutative time) in a setting of Lorentzian spectral geometries
of which some basic aspects will be sketched. The scattering transformation will be shown to be unitarily implementable in
the canonical vacuum representation of the Dirac field. Furthermore, it will be indicated how the functional derivatives of
the ensuing unitary scattering operators with respect to the strength of the non-commutative potential induce, in the spirit
of Bogoliubov’s formula, quantum field operators (corresponding to observables) depending on the elements of the non-commutative
algebra of Moyal-Minkowski spacetime. 相似文献
13.
We examine the energy density produced by a state vector which is the superposition of three single electron states in the Dirac field in the four-dimensional Minkowski spacetime. We derive the conditions on which the energy density can be negative. We then show that the energy density satisfies two quantum inequalities in the ultrarelativistic limit. 相似文献
14.
ZHANG Jing-yi 《理论物理通讯》2003,40(8)
Following the method of Damour and Ruffini, the Hawking radiation of Dirac particles on Rindler horizonto a uniformly accelerating observer is studied in this paper. The temperature on Rindler horizon surface and the thermalspectrum formula of Dirac particles are obtained. The result is discussed. 相似文献
15.
We show that the singular behavior of Rindler solutions near horizon testifies to the currents of particles from a region
arbitrarily close to the horizon. Besides, the Rindler solutions in right Rindler sector of Minkowski space can be represented
as a superposition of only positive-or only negative-frequency plane waves; these states require infinite energy for their
creation and possess infinite charge in a finite space interval, containing the horizon. The positive-or negative-frequency
representations of Rindler solutions analytically continued to the whole Minkowski space make up a complete set of states
in this space, which have, however, the aforementioned singularities. These positive (negative)-frequency states are characterized
by positive (negative) total charge, the charge of the same sign in right (left) Rindler sector and by quantum number κ. But in other Lorentz invariant sectors they do not possess positive (negative)-definite charge density and have negative
(positive) charge in left (right) Rindler sector. Therefore these states describe both the particle (antiparticle) and pairs,
the mean number of which is given by Planck function of κ. These peculiarities make the Rindler set of solutions nonequivalent to the plane wave set and the inference on the existence
of thermal currents for a Rindler observer moving in empty Minkowski space is unfounded.
Zh. éksp. Teor. Fiz. 114, 777–785 (September 1998)
Published in English in the original Russian journal. Reproduced here with stylistic changes by the Translation Editor. 相似文献
16.
E. Eriksen 《Annals of Physics》2004,313(1):147-196
We describe the electromagnetic field of a uniformly accelerated charge in its co-moving Rindler frame. It is shown that the electrical field lines coincide with the trajectories of photons. The self force of a charged particle at rest in Rindler space, and the increase of its weight due to its charge, is calculated. The general case of an accelerated charge in Rindler space is also considered. It is shown that the electrical field inside a uniformly charged spherical shell can be used as a measure of it 4-acceleration. A result that has earlier been deduced in a different way by Fugmann and Kretzschmar is confirmed, namely that the intensity of radiation from a point charge instantaneously at rest in an accelerated frame is proportional to the square of the relative acceleration of the charge and the observer. In particular it is shown that a freely falling charge in Rindler space radiates in accordance with Larmor’s formula. In this case the radiation energy is taken from the Schott energy. The energy of the electromagnetic field is analysed from the point of view of the Hirayama-separation, which generalizes the Teitelboim-separation to non-inertial frames, of the field in a bound part and an unbound part. A detailed account, with reference to the Rindler frame, of the field energy and particle energy is given for the case of a charge entering and leaving a region with hyperbolic motion. We also consider the electromagnetic field of a uniformly accelerated charge with reference to the Milne frame, which covers a different part of spacetime than the Rindler frame. The radiating part of the electromagnetic field is found in the Milne sector of spacetime. 相似文献
17.
Hristu Culetu 《Physics letters. [Part B]》2011,703(5):641-644
18.
19.
Claudio Dappiaggi Gandalf Lechner Eric Morfa-Morales 《Communications in Mathematical Physics》2011,305(1):99-130
The recent construction and analysis of deformations of quantum field theories by warped convolutions is extended to a class
of curved spacetimes. These spacetimes carry a family of wedge-like regions which share the essential causal properties of
the Poincaré transforms of the Rindler wedge in Minkowski space. In the setting of deformed quantum field theories, they play
the role of typical localization regions of quantum fields and observables. As a concrete example of such a procedure, the
deformation of the free Dirac field is studied. 相似文献
20.
In this Letter we make a critique of, and comparison between, the anomaly method and WKB/tunneling method for obtaining radiation from non-trivial spacetime backgrounds. We focus on Rindler spacetime (the spacetime of an accelerating observer) and the associated Unruh radiation since this is the prototype of the phenomena of radiation from a spacetime, and it is the simplest model for making clear subtle points in the tunneling and anomaly methods. Our analysis leads to the following conclusions: (i) neither the consistent and covariant anomaly methods gives the correct Unruh temperature for Rindler spacetime and in some cases (e.g. de Sitter spacetime) the consistent and covariant methods disagree with one another; (ii) the tunneling method can be applied in all cases, but it has a previously unnoticed temporal contribution which must be accounted for in order to obtain the correct temperature. 相似文献