Dynamic invariants and the berry phase for generalized driven harmonic oscillators

Barbara Sanborn; Sergei Suslov; Luc Vinet

doi:10.1007/s10946-011-9238-7

Dynamic invariants and the berry phase for generalized driven harmonic oscillators

Barbara Sanborn, Sergei Suslov, Luc Vinet

CLAS-NS: Mathematical and Statistical Sciences, School of (SMSS)

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We present quadratic dynamic invariants and evaluate the Berry phase for the time-dependent Schrödinger equation with the most general variable quadratic Hamiltonian.

Original language	English (US)
Pages (from-to)	486-494
Number of pages	9
Journal	Journal of Russian Laser Research
Volume	32
Issue number	5
DOIs	https://doi.org/10.1007/s10946-011-9238-7
State	Published - Aug 2011

Keywords

Berry phase
Ermakov-type system
Green function
dynamic invariants
generalized harmonic oscillators
time-dependent Schrödinger equation

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Engineering (miscellaneous)

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10.1007/s10946-011-9238-7

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title = "Dynamic invariants and the berry phase for generalized driven harmonic oscillators",

abstract = "We present quadratic dynamic invariants and evaluate the Berry phase for the time-dependent Schr{\"o}dinger equation with the most general variable quadratic Hamiltonian.",

keywords = "Berry phase, Ermakov-type system, Green function, dynamic invariants, generalized harmonic oscillators, time-dependent Schr{\"o}dinger equation",

author = "Barbara Sanborn and Sergei Suslov and Luc Vinet",

year = "2011",

month = aug,

doi = "10.1007/s10946-011-9238-7",

language = "English (US)",

volume = "32",

pages = "486--494",

journal = "Journal of Soviet Laser Research",

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publisher = "Springer New York",

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T1 - Dynamic invariants and the berry phase for generalized driven harmonic oscillators

AU - Sanborn, Barbara

AU - Suslov, Sergei

AU - Vinet, Luc

PY - 2011/8

Y1 - 2011/8

N2 - We present quadratic dynamic invariants and evaluate the Berry phase for the time-dependent Schrödinger equation with the most general variable quadratic Hamiltonian.

AB - We present quadratic dynamic invariants and evaluate the Berry phase for the time-dependent Schrödinger equation with the most general variable quadratic Hamiltonian.

KW - Berry phase

KW - Ermakov-type system

KW - Green function

KW - dynamic invariants

KW - generalized harmonic oscillators

KW - time-dependent Schrödinger equation

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U2 - 10.1007/s10946-011-9238-7

DO - 10.1007/s10946-011-9238-7

M3 - Article

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VL - 32

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EP - 494

JO - Journal of Soviet Laser Research

JF - Journal of Soviet Laser Research

SN - 1071-2836

IS - 5

ER -

Dynamic invariants and the berry phase for generalized driven harmonic oscillators

Abstract

Keywords

ASJC Scopus subject areas

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