Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-10-26
Phys.Rev.D38:514-521,1988
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, 2 postscript figures, PlainTex. Related papers also available at http://www.math.ohio-state.edu/~gerlach
Scientific paper
10.1103/PhysRevD.38.514
The global Minkowski Bessel (M-B) modes, whose explicit form allows the identification and description of the condensed vacuum state resulting from the operation of a pair of accelerated refrigerators, are introduced. They span the representation space of the unitary representation of the Poincare group on 2-D Lorentz space-time. Their three essential properties are: (1) they are unitarily related to the familiar Minkowski plane waves; (2) they form a unitary representation of the translation group on two dimensional Minkowski spacetime. (3) they are eigenfunctions of Lorentz boosts around a given reference event. In addition the global Minkowski Mellin modes are introduced. They are the singular limit of the M-B modes. This limit corresponds to the zero transverse momentum solutions to the zero rest mass wave equation. Also introduced are the four Rindler coordinate representatives of each global mode. Their normalization and density of states are exhibited in a (semi-infinite) accelerated frame with a finite bottom. In addition we exhibit the asymptotic limit as this bottom approaches the event horizon and thereby show how a mode sum approaches a mode integral as the frame becomes bottomless.
No associations
LandOfFree
Minkowski Bessel modes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Minkowski Bessel modes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minkowski Bessel modes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-24568