Abstract
In the preceding chapter we introduced the concept of the geometric phase and showed its natural emergence from the basic principles of quantum mechanics. We emphasized the geometric nature of the phase and briefly outlined a holonomy interpretation of the geometric phase using the Aharonov-Anandan principal fiber bundle. This involved several differential geometric concepts such as those of a fiber bundle, a horizontal lift, a connection, a parallel transport and a holonomy.
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© 2003 Springer-Verlag Berlin Heidelberg
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Bohm, A., Mostafazadeh, A., Koizumi, H., Niu, Q., Zwanziger, J. (2003). Fiber Bundles and Gauge Theories. In: The Geometric Phase in Quantum Systems. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10333-3_5
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DOI: https://doi.org/10.1007/978-3-662-10333-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05504-1
Online ISBN: 978-3-662-10333-3
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