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Title: Moving Mirrors, Black Holes, Hawking Radiation and All That

Abstract

In this talk I show how, in Lemaitre coordinates, one can canonically quantize a massless scalar field in the background of a Schwarzschild black hole and then show how this leads to a simplified derivation of Hawking radiation. The key result of the canonical quantization procedure is that the Hamiltonian of the system is explicitly time dependent, which immediately shows that the problem is intrinsically non-static and that, although a unitary time-development operator exists, it is not useful to talk about eigenstates. Rather, one should deal with the Heisenberg equations of motion and focus attention on steady state phenomena, such as the Hawking radiation. In order to clarify the procedure used to solve the Heisenberg equations I first discuss the related problem of the massless scalar field theory calculated in the presence of a moving mirror.

Authors:
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Org.:
USDOE Office of Energy Research (ER) (US)
OSTI Identifier:
798918
Report Number(s):
SLAC-PUB-9047
TRN: US200222%%117
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 8 Nov 2001
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACK HOLES; EIGENSTATES; EQUATIONS OF MOTION; HAMILTONIANS; MIRRORS; QUANTIZATION; RADIATIONS; SCALAR FIELDS

Citation Formats

Weinstein, Marvin. Moving Mirrors, Black Holes, Hawking Radiation and All That. United States: N. p., 2001. Web. doi:10.2172/798918.
Weinstein, Marvin. Moving Mirrors, Black Holes, Hawking Radiation and All That. United States. https://doi.org/10.2172/798918
Weinstein, Marvin. Thu . "Moving Mirrors, Black Holes, Hawking Radiation and All That". United States. https://doi.org/10.2172/798918. https://www.osti.gov/servlets/purl/798918.
@article{osti_798918,
title = {Moving Mirrors, Black Holes, Hawking Radiation and All That},
author = {Weinstein, Marvin},
abstractNote = {In this talk I show how, in Lemaitre coordinates, one can canonically quantize a massless scalar field in the background of a Schwarzschild black hole and then show how this leads to a simplified derivation of Hawking radiation. The key result of the canonical quantization procedure is that the Hamiltonian of the system is explicitly time dependent, which immediately shows that the problem is intrinsically non-static and that, although a unitary time-development operator exists, it is not useful to talk about eigenstates. Rather, one should deal with the Heisenberg equations of motion and focus attention on steady state phenomena, such as the Hawking radiation. In order to clarify the procedure used to solve the Heisenberg equations I first discuss the related problem of the massless scalar field theory calculated in the presence of a moving mirror.},
doi = {10.2172/798918},
url = {https://www.osti.gov/biblio/798918}, journal = {},
number = ,
volume = ,
place = {United States},
year = {2001},
month = {11}
}