LEWIS-RIESENFELD PHASES AND BERRY PHASES IN THEQUANTUM SYSTEM OF TIME-DEPENDENT HARMONICOSCILLATOR WITH A MOVING BOUNDARY | Zendy

Li Ling | Zendy; BoZang Li | Zendy; Liang Jiu-Qing | Zendy

Open Access

LEWIS-RIESENFELD PHASES AND BERRY PHASES IN THEQUANTUM SYSTEM OF TIME-DEPENDENT HARMONICOSCILLATOR WITH A MOVING BOUNDARY

Author(s) -

Li Ling,

BoZang Li,

Liang Jiu-Qing

Publication year - 2001

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.50.2077

Subject(s) - adiabatic process , geometric phase , physics , berry connection and curvature , boundary (topology) , invariant (physics) , harmonic oscillator , berry , quantum mechanics , condensed matter physics , mathematical analysis , mathematics , botany , biology

Using the Lewis-Riesenfeld′s quantum invariant theory,the Lewis-Riesenfeld phases for a time-dependent frequency harmonic oscillator,which is confined in an infinite well with a moving wall,are calculated.We find that the geometric part of the Lewis-Riesenfeld phases are identical with the “non-adiabatic Berry phases” described by D.Y.Liu in Acta Phys.Sin.It may be important that our results,at least for the system with a sinusoidally oscillating boundary,do not show any non-trivial Berry phase acquired.

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