Ebook: Supersymmetric Methods in Quantum and Statistical Physics

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.

---

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.
Content:
Front Matter....Pages I-XIII
Introduction....Pages 1-5
Supersymmetric Quantum Mechanics....Pages 7-19
The Witten Model....Pages 21-35
Supersymmetric Classical Mechanics....Pages 37-52
Exact Solution of Eigenvalue Problems....Pages 53-66
Quasi-Classical Path-Integral Approach....Pages 67-91
Supersymmetry in Classical Stochastic Dynamics....Pages 93-107
Supersymmetry in the Pauli and Dirac Equation....Pages 109-120
Concluding Remarks and Overview....Pages 121-124
Back Matter....Pages 125-172

---

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.
Content:
Front Matter....Pages I-XIII
Introduction....Pages 1-5
Supersymmetric Quantum Mechanics....Pages 7-19
The Witten Model....Pages 21-35
Supersymmetric Classical Mechanics....Pages 37-52
Exact Solution of Eigenvalue Problems....Pages 53-66
Quasi-Classical Path-Integral Approach....Pages 67-91
Supersymmetry in Classical Stochastic Dynamics....Pages 93-107
Supersymmetry in the Pauli and Dirac Equation....Pages 109-120
Concluding Remarks and Overview....Pages 121-124
Back Matter....Pages 125-172
....