Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)

Kuratsuji, Hiroshi; Tochishita, Teruyuki; Mizui, Masayuki

Serdica Mathematical Journal (1997)

  • Volume: 23, Issue: 2, page 177-186
  • ISSN: 1310-6600

Abstract

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A new approach is proposed for the quantum mechanics of guiding center motion in strong magnetic field. This is achieved by use of the coherent state path integral for the coupled systems of the cyclotron and the guiding center motion. We are specifically concerned with the effective action for the guiding center degree, which can be used to get the Bohr- Sommerfeld quantization scheme. The quantization rule is similar to the one for the vortex motion as a dynamics of point particles.

How to cite

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Kuratsuji, Hiroshi, Tochishita, Teruyuki, and Mizui, Masayuki. "Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)." Serdica Mathematical Journal 23.2 (1997): 177-186. <http://eudml.org/doc/11611>.

@article{Kuratsuji1997,
abstract = {A new approach is proposed for the quantum mechanics of guiding center motion in strong magnetic field. This is achieved by use of the coherent state path integral for the coupled systems of the cyclotron and the guiding center motion. We are specifically concerned with the effective action for the guiding center degree, which can be used to get the Bohr- Sommerfeld quantization scheme. The quantization rule is similar to the one for the vortex motion as a dynamics of point particles.},
author = {Kuratsuji, Hiroshi, Tochishita, Teruyuki, Mizui, Masayuki},
journal = {Serdica Mathematical Journal},
keywords = {Landau Level; Guiding Ceter; Coherent State; Landau level; guiding center; coherent state},
language = {eng},
number = {2},
pages = {177-186},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)},
url = {http://eudml.org/doc/11611},
volume = {23},
year = {1997},
}

TY - JOUR
AU - Kuratsuji, Hiroshi
AU - Tochishita, Teruyuki
AU - Mizui, Masayuki
TI - Quantum Mechanics of Guiding Center Motion in Strong Magnetic Field (Coherent State Path Integral Approach)
JO - Serdica Mathematical Journal
PY - 1997
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 23
IS - 2
SP - 177
EP - 186
AB - A new approach is proposed for the quantum mechanics of guiding center motion in strong magnetic field. This is achieved by use of the coherent state path integral for the coupled systems of the cyclotron and the guiding center motion. We are specifically concerned with the effective action for the guiding center degree, which can be used to get the Bohr- Sommerfeld quantization scheme. The quantization rule is similar to the one for the vortex motion as a dynamics of point particles.
LA - eng
KW - Landau Level; Guiding Ceter; Coherent State; Landau level; guiding center; coherent state
UR - http://eudml.org/doc/11611
ER -

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