Supersymmetric Methods in Quantum and Statistical Physics (eBook, PDF)
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This book gives an introduction to supersymmetric quantum mechanics and a comprehensive review of its applications in quantum and statistical physics. The author discusses the classical and quantum versions of Witten's model and exact spectral properties of the model for the so-called shape invariant potentials. The quasi-classical quantization rules are derived and other topics include the supersymmetric structure of a classical stochastic dynamical system obeying the Langevin or the Fokker-Planck equation, Pauli's Hamiltonian and its application to the paragmagnetism of a non-interacting ele...
This book gives an introduction to supersymmetric quantum mechanics and a comprehensive review of its applications in quantum and statistical physics. The author discusses the classical and quantum versions of Witten's model and exact spectral properties of the model for the so-called shape invariant potentials. The quasi-classical quantization rules are derived and other topics include the supersymmetric structure of a classical stochastic dynamical system obeying the Langevin or the Fokker-Planck equation, Pauli's Hamiltonian and its application to the paragmagnetism of a non-interacting electron gas in two and three dimensions, and supersymmetry of Dirac's Hamiltonian. The book addresses graduate students as well as scientists.
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