Supersymmetry In Quantum and Classical Mechanics
Supersymmetry In Quantum and Classical Mechanics
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DOI：
10.1201/9781420035810
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发表时间：
2000-09
期刊：
影响因子：
--
通讯作者：
B. Bagchi
中科院分区：
文献类型：
--
作者：
B. Bagchi
超对称背景超对称量子力学的基本原理超对称和振子问题超势和建立超对称哈密顿量Hs的物理解释伙伴哈密顿量的性质应用超空间形式主义超对称经典力学的其他方案经典泊松方程及其推广广义泊松方程的一些代数性质超对称超对称破缺的经典模型维滕指数和指数条件超对称性破缺维滕指数有限温度超对称性调节维滕指数指数条件q-变形和指数条件抛物子变形抛物态和指数条件维滕指数和高阶导数超对称性显式超对称性破缺和奇异超势因式分解法，形状不变性与可解问题的生成--浅谈Infeld因式分解法与船体形状不变性条件自适应相似势关于可因式分解的广义量子条件不唯一性的注记相等价势SUSYQM中精确可解势的产生可解势与SUSY径向问题与自旋轨道耦合SUSY与径向问题SUSY各向同性振子中利用阶梯算符技术的径向问题与D-中的自旋轨道耦合非线性系统中的维数超对称KdV方程非线性系统中的守恒律Lax方程超对称性与KdV-MKdV系统中的守恒律达布方法超对称性与KdV - MKdV系统中的守恒律SG系统超对称KdV结论仿超对称PSUSYQM任意阶p截断振子PSUSY和PSUSYQM多维模型介绍附录注：每一章还包含一个参考文献部分
GENERAL REMARKS ON SUPERSYMMETRY Background BASIC PRINCIPLES OF SUPERSYMMETRIC QUANTUM MECHANICS SUSY and the Oscillator Problem Superpotential and Setting Up a Supersymmetric Hamiltonian Physical Interpretation of Hs 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 AND GENERATION OF SOLVABLE PROBLEMS Preliminary Remarks Factorization Method of Infeld and Hull Shape Invariance Condition Self-Similar Potentials A Note on the Generalized Quantum Condition Non-Uniqueness 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 SUSY and Conservation Laws in the KdV - MKdV Systems Darboux's Method SUSY and Conservation Laws in the KdV-SG Systems Supersymmetric KdV Conclusion PARASUPERSYMMETRY Introduction Models of PSUSYQM PSUSY of Arbitrary Order p Truncated Oscillator and PSUSYQM Multidimensional Parasuperalgebras APPENDIX Note: Each chapter also contains a References section