Supersymmetric methods in quantum and statistical physics
著者
書誌事項
Supersymmetric methods in quantum and statistical physics
（Texts and monographs in physics）
Springer, c1996
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注記
Includes bibliographical references (p. [125]-152) and indexes
内容説明・目次
内容説明
Giving an introduction to supersymmetric quantum mechanics and a review of its applications in quantum and statistical physics, this work examines the classical version and the quantum version of Witten's model. Exact spectral properties for the so-called shape invariant potentials are discussed. The quasi-classical quantization rukes are derived. The topics covered also include the supersymmetric structure of a classical stochastic dynamical system obeying the Langevin of the Fokker-Planck equation, Pauli's Hamiltonian and its application to the paramagnetism of a non-interacting electron gas in two and three dimensions, and supersymmetry of Dirac's Hamiltonian.
目次
Contents: Introduction.- Supersymmetric Quantum Mechanics.- The Witten Model.- Supersymmetric Classical Mechanics.- Exact Solution of Quantum-Mechanical Eigenvalue Problems.- Quasi-Classical Path-Integral Approach.- Supersymmetry in Classical Stochastic Dynamics.- Supersymmetry in the Pauli and Dirac Equations.- Concluding Remarks.- References.- Author Index.- Subject Index.
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