Maslov's complex germ method and Berry's phase

A. Yu Trifonov, A. A. Yevseyevich

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

In the adiabatic approximation the connection of the Berry phase with the quasi-classical trajectory-coherent states of the Schrodinger-type equation (with the arbitrary scalar h(cross)-(pseudo) differential operator) and the Dirac equation in the external periodic electromagnetic field is studied.

Original languageEnglish
Article number034
Pages (from-to)6267-6286
Number of pages20
JournalJournal of Physics A: General Physics
Volume27
Issue number18
DOIs
Publication statusPublished - 1994

Fingerprint

Berry Phase
differential operators
Dirac Equation
Pseudodifferential Operators
Dirac equation
Coherent States
Electromagnetic Fields
electromagnetic fields
trajectories
Scalar
Trajectory
scalars
Arbitrary
Approximation
approximation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Maslov's complex germ method and Berry's phase. / Yu Trifonov, A.; Yevseyevich, A. A.

In: Journal of Physics A: General Physics, Vol. 27, No. 18, 034, 1994, p. 6267-6286.

Research output: Contribution to journal › Article

Yu Trifonov, A & Yevseyevich, AA 1994, 'Maslov's complex germ method and Berry's phase', Journal of Physics A: General Physics, vol. 27, no. 18, 034, pp. 6267-6286. https://doi.org/10.1088/0305-4470/27/18/034
Yu Trifonov A, Yevseyevich AA. Maslov's complex germ method and Berry's phase. Journal of Physics A: General Physics. 1994;27(18):6267-6286. 034. https://doi.org/10.1088/0305-4470/27/18/034
Yu Trifonov, A. ; Yevseyevich, A. A. / Maslov's complex germ method and Berry's phase. In: Journal of Physics A: General Physics. 1994 ; Vol. 27, No. 18. pp. 6267-6286.
@article{2ddd88ea00ca4b1981618051dbc66afc,
title = "Maslov's complex germ method and Berry's phase",
abstract = "In the adiabatic approximation the connection of the Berry phase with the quasi-classical trajectory-coherent states of the Schrodinger-type equation (with the arbitrary scalar h(cross)-(pseudo) differential operator) and the Dirac equation in the external periodic electromagnetic field is studied.",
author = "{Yu Trifonov}, A. and Yevseyevich, {A. A.}",
year = "1994",
doi = "10.1088/0305-4470/27/18/034",
language = "English",
volume = "27",
pages = "6267--6286",
journal = "Journal of Physics A: Mathematical and General",
issn = "0305-4470",
publisher = "IOP Publishing Ltd.",
number = "18",

}

TY - JOUR

T1 - Maslov's complex germ method and Berry's phase

AU - Yu Trifonov, A.

AU - Yevseyevich, A. A.

PY - 1994

Y1 - 1994

N2 - In the adiabatic approximation the connection of the Berry phase with the quasi-classical trajectory-coherent states of the Schrodinger-type equation (with the arbitrary scalar h(cross)-(pseudo) differential operator) and the Dirac equation in the external periodic electromagnetic field is studied.

AB - In the adiabatic approximation the connection of the Berry phase with the quasi-classical trajectory-coherent states of the Schrodinger-type equation (with the arbitrary scalar h(cross)-(pseudo) differential operator) and the Dirac equation in the external periodic electromagnetic field is studied.

UR - http://www.scopus.com/inward/record.url?scp=31144474254&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=31144474254&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/27/18/034

DO - 10.1088/0305-4470/27/18/034

M3 - Article

VL - 27

SP - 6267

EP - 6286

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 18

M1 - 034

ER -

Access to Document