Abstract
Based on the exactly solvable case of a harmonic oscillator, we show that the direct correspondence between the Bohr-Sommerfeld phase of semiclassical quantum mechanics and the topological phase of Aharonov and Anandan is restricted to the case of a coherent state. For other Gaussian wave packets the geometric quantum phase strongly depends on the amount of squeezing.
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References
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We dedicate this paper to our friend Professor Asim O. Barut—a great scientist, an extraordinary human being, and a man who enjoys the whole world as his home.
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Benedict, M.G., Schleich, W. On the correspondence of semiclassical and quantum phases in cyclic evolutions. Found Phys 23, 389–397 (1993). https://doi.org/10.1007/BF01883719
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DOI: https://doi.org/10.1007/BF01883719