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Condensed Matter Theories pp 39–47Cite as

Berry Phase and its Unitarily Invariant Generalization

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Part of the book series: Condensed Matter Theories ((COMT,volume 7))

Abstract

The geometrical phase in quantum mechanics discovered by Berry is not invariant under unitary transformations. It is generalized to be unitarily invariant and applicable to nonadiabatic and noncyclic systems. Examples of a spin-1/2 particle in a precessing magnetic field and a time-dependent generalized harmonic oscillator are considered.

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Author information

Authors and Affiliations

  1. Department of Physics, University of North Texas, Denton, Texas, 76203-5368, USA

    Donald H. Kobe

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  1. Donald H. Kobe
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Editor information

Editors and Affiliations

  1. University of Buenos Aires, Vicente López, Argentina

    Araceli Noemi Proto  & Jorge Luis Aliaga  & 

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© 1992 Springer Science+Business Media New York

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Kobe, D.H. (1992). Berry Phase and its Unitarily Invariant Generalization. In: Proto, A.N., Aliaga, J.L. (eds) Condensed Matter Theories. Condensed Matter Theories, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3352-8_4

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  • DOI: https://doi.org/10.1007/978-1-4615-3352-8_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6478-8

  • Online ISBN: 978-1-4615-3352-8

  • eBook Packages: Springer Book Archive

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