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- catalog abstract ""This monograph summarizes the major developments of the last 15 years. It provides coverage of supersymmetry in nonrelativistic mechanics an up-to-date review of the literature, and a detailed exposition of the underlying SCQM principles. For those just beginning in the field, the author presents step-by-step details of most of the computations. For more experienced readers, the treatment includes systematic analyses of more advanced topics, such as quasi-and conditional solvability and the role of supersymmetry in nonlinear systems."--Jacket.".
- catalog contributor b12058299.
- catalog created "2001.".
- catalog date "2001".
- catalog date "2001.".
- catalog dateCopyrighted "2001.".
- catalog description ""This monograph summarizes the major developments of the last 15 years. It provides coverage of supersymmetry in nonrelativistic mechanics an up-to-date review of the literature, and a detailed exposition of the underlying SCQM principles. For those just beginning in the field, the author presents step-by-step details of most of the computations. For more experienced readers, the treatment includes systematic analyses of more advanced topics, such as quasi-and conditional solvability and the role of supersymmetry in nonlinear systems."--Jacket.".
- catalog description "Basic Principles of SUSYQM -- SUSY and the Oscillator Problem -- Superpotential and Setting Up a Supersymmetric Hamiltonian -- Physical Interpretation of H[subscript s] -- Properties of the Partner Hamiltonians -- Applications -- Superspace Formalism -- Other Schemes of SUSY -- Supersymmetric Classical Mechanics -- Classical Poisson Bracket, its Generalizations -- Some Algebraic Properties of the Generalized Poisson Bracket -- A Classical Supersymmetric Model -- SUSY Breaking, Witten Index, and Index Condition -- SUSY Breaking -- Witten Index -- Finite Temperature SUSY -- Regulated Witten Index -- Index Condition -- q-deformation and Index Condition -- Parabosons -- Deformed Parabose States and Index Condition -- Witten's Index and Higher-Derivative SUSY -- Explicit SUSY Breaking and Singular Superpotentials -- Factorization Method, Shape Invariance -- Preliminary Remarks -- Factorization Method of Infeld and Hull -- Shape Invariance Condition -- Self-similar Potentials -- A Note On the Generalized Quantum Condition -- Nonuniqueness of the Factorizability -- Phase Equivalent Potentials -- Generation of Exactly Solvable Potentials in SUSYQM -- Conditionally Solvable Potentials and SUSY -- Radial Problems and Spin-orbit Coupling -- SUSY and the Radial Problems -- Radial Problems Using Ladder Operator Techniques in SUSYQM -- Isotropic Oscillator and Spin-orbit Coupling -- SUSY in D Dimensions -- Supersymmetry in Nonlinear Systems -- The KdV Equation -- Conservation Laws in Nonlinear Systems -- Lax Equations.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xiii, 222 p. ;".
- catalog identifier "1584881976 (alk. paper)".
- catalog isPartOf "Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 116".
- catalog issued "2001".
- catalog issued "2001.".
- catalog language "eng".
- catalog publisher "Boca Raton, FL : Chapman & Hall,".
- catalog subject "539.7/25 21".
- catalog subject "QC174.17.S9 B34 2001".
- catalog subject "Supersymmetry.".
- catalog tableOfContents "Basic Principles of SUSYQM -- SUSY and the Oscillator Problem -- Superpotential and Setting Up a Supersymmetric Hamiltonian -- Physical Interpretation of H[subscript s] -- Properties of the Partner Hamiltonians -- Applications -- Superspace Formalism -- Other Schemes of SUSY -- Supersymmetric Classical Mechanics -- Classical Poisson Bracket, its Generalizations -- Some Algebraic Properties of the Generalized Poisson Bracket -- A Classical Supersymmetric Model -- SUSY Breaking, Witten Index, and Index Condition -- SUSY Breaking -- Witten Index -- Finite Temperature SUSY -- Regulated Witten Index -- Index Condition -- q-deformation and Index Condition -- Parabosons -- Deformed Parabose States and Index Condition -- Witten's Index and Higher-Derivative SUSY -- Explicit SUSY Breaking and Singular Superpotentials -- Factorization Method, Shape Invariance -- Preliminary Remarks -- Factorization Method of Infeld and Hull -- Shape Invariance Condition -- Self-similar Potentials -- A Note On the Generalized Quantum Condition -- Nonuniqueness of the Factorizability -- Phase Equivalent Potentials -- Generation of Exactly Solvable Potentials in SUSYQM -- Conditionally Solvable Potentials and SUSY -- Radial Problems and Spin-orbit Coupling -- SUSY and the Radial Problems -- Radial Problems Using Ladder Operator Techniques in SUSYQM -- Isotropic Oscillator and Spin-orbit Coupling -- SUSY in D Dimensions -- Supersymmetry in Nonlinear Systems -- The KdV Equation -- Conservation Laws in Nonlinear Systems -- Lax Equations.".
- catalog title "Supersymmetry in quantum and classical mechanics / B. Bagchi.".
- catalog type "text".