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The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics Book

The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics
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The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics, , The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics
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  • The Geometric Phase in Quantum Systems: Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics
  • Written by author Arno Bohm
  • Published by Springer-Verlag New York, LLC, August 2003
  • Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering the concept of the geometric phase in quantum physics from its mathematical foundations to its physical applications and experimental manifestations. It c
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Book Categories

Authors

1Introduction1
2Quantal Phase Factors for Adiabatic Changes5
3Spinning Quantum System in an External Magnetic Field31
4Quantal Phases for General Cyclic Evolution53
5Fiber Bundles and Gauge Theories65
6Mathematical Structure of the Geometric Phase I: The Abelian Phase107
7Mathematical Structure of the Geometric Phase II: The Non-Abelian Phase129
8A Quantum Physical System in a Quantum Environment - The Gauge Theory of Molecular Physics147
9Crossing of Potential Energy Surfaces and the Molecular Aharonov-Bohm Effect195
10Experimental Detection of Geometric Phases I: Quantum Systems in Classical Environments225
11Experimental Detection of Geometric Phases II: Quantum Systems in Quantum Environments255
12Geometric Phase in Condensed Matter I: Bloch Bands277
13Geometric Phase in Condensed Matter II: The Quantum Hall Effect301
14Geometric Phase in Condensed Matter III: Many-Body Systems337
AAn Elementary Introduction to Manifolds and Lie Groups361
BA Brief Review of Point Groups of Molecules with Application to Jahn-Teller Systems407
References429
Index437


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