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Gauge independence of Lewis-Riesenfeld phases

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Il Nuovo Cimento B (1971-1996)

Summary

For a time-dependent quantum system, the instantaneous stationary Schrödinger equation is not covariant under gauge transformation. Therefore, the formal definition of the Berry phase may depend on the choice of mutually gauge-equivalent Hamiltonians. It is shown that the Lewis-Riesenfeld phase is manifestly gauge independent. The generalized time-dependent harmonic oscillator is used as an example to demonstrate this result.

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Authors and Affiliations

  1. Institutes of Modern Physics, Southwest Jiaotong University, 610031, Chengdu, PRC

    Lian-Fu Wei

  2. Institute of Theoretical Physics, Shanxi University, 030006, Taiyuan, PRC

    Jiu-Qing Liang

  3. Institute of Physics, Chinese Academia Sinica, 100080, Beijing, PRC

    Bo-Zang Li

Authors
  1. Lian-Fu Wei
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  2. Jiu-Qing Liang
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  3. Bo-Zang Li
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Supported by the National Natural Science Foundation of China.

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Wei, LF., Liang, JQ. & Li, BZ. Gauge independence of Lewis-Riesenfeld phases. Nuov Cim B 110, 1357–1361 (1995). https://doi.org/10.1007/BF02723119

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  • DOI: https://doi.org/10.1007/BF02723119

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