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1.

図書

図書
Martin Reuter, Frank Saueressig
出版情報: Cambridge : Cambridge University Press, 2019  xii, 342 p. ; 26 cm
シリーズ名: Cambridge monographs on mathematical physics
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2.

図書

図書
Walter Dittrich, Martin Reuter
出版情報: Berlin ; Tokyo : Springer-Verlag, 1986  315 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 244
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3.

図書

図書
Walter Dittrich, Martin Reuter
出版情報: Berlin ; New York : Springer-Verlag, 1985  244 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 220
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4.

図書

図書
W. Dittrich, M. Reuter
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  341 p. ; 24 cm
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5.

図書

図書
Walter Dittrich, Martin Reuter
出版情報: [Cham] : Springer, c2017  xvi, 489 p. ; 25 cm
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6.

図書

図書
Walter Dittrich, Martin Reuter
出版情報: Berlin : Springer-Verlag, c2001  x, 385 p. ; 24 cm
シリーズ名: Advanced texts in physics
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目次情報: 続きを見る
Introduction
The Action Principles in Mechanics / 1:
The Action Principle in Classical Electrodynamics / 2:
Application of the Action Principles / 3:
Jacobi Fields, Conjugate Points / 4:
Canonical Transformations / 5:
The Hamilton-Jacobi Equation / 6:
Action-Angle Variables / 7:
The Adiabatic Invariance of the Action Variables / 8:
Time-Independent Canonical Perturbation Theory / 9:
Canonical Perturbation Theory with Several Degrees of Freedom / 10:
Canonical Adiabatic Theory / 11:
Removal of Resonances / 12:
Superconvergent Perturbation Theory, KAM Theorem (Introduction) / 13:
Poincare Surface of Sections, Mappings / 14:
The KAM Theorem / 15:
Fundamental Principles of Quantum Mechanics / 16:
Functional Derivative Approach / 17:
Examples for Calculating Path Integrals / 18:
Direct Evaluation of Path Integrals / 19:
Linear Oscillator with Time-Dependent Frequency / 20:
Propagators for Particles in an External Magnetic Field / 21:
Simple Applications of Propagator Functions / 22:
The WKB Approximation / 23:
Computing the trace / 24:
Partition Function for the Harmonic Oscillator / 25:
Introduction to Homotopy Theory / 26:
Classical Chern-Simons Mechanics / 27:
Semiclassical Quantization / 28:
The "Maslov Anomaly" for the Harmonic Oscillator / 29:
Maslov Anomaly and the Morse Index Theorem / 30:
BerryÆs Phase / 31:
Classical Analogues to BerryÆs Phase / 32:
Berry Phase and Parametric Harmonic Oscillator / 33:
Topological Phases in Planar Electrodynamics / 34:
References
Index
Introduction
The Action Principles in Mechanics / 1:
The Action Principle in Classical Electrodynamics / 2:
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