118467368
Supersymmetry in Quantum and Classical Mechanics
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
18633717
CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C
A brief overview is given of recent developments and fresh ideas at the intersection of - and/or -symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). Within the framework of the resulting supersymmetric version of -symmetric quantum mechanics we study the consequences of the assumption that the "charge" operator is represented in a differential-operator form of the second or higher order. Besides the freedom allowed by the Hermiticity constraint for the operator , encouraging results are obtained in the second-order case. In particular, the integrability of intertwining relations proves to match the closure of our nonlinear (viz., polynomial) SUSY algebra. In a particular illustration, our form of -symmetric SUSY QM leads to a new class of non-Hermitian polynomial oscillators with real spectrum which turn out to be -asymmetric.
121535808
Estimate of strangeness content of the nucleon
Utilizing the quark-glue structure of the eta and eta ' mesons and exploiting the SU(3) relationships among the meson-baryon coupling constant, the authors show that the baryon loop calculation of the pi 0, eta , eta ' to gamma gamma amplitudes allows one a straightforward estimation of the strangeness content in the nucleon. The role of the gluonic couplings of the eta and eta ' is explored.
16287686
PT-symmetric sextic potentials
Abstract The family of complex PT-symmetric sextic potentials is studied to show that for various cases the system is essentially quasi-solvable and possesses real, discrete energy eigenvalues. For a particular choice of parameters, we find that under supersymmetric transformations the underlying potential picks up a reflectionless part.
124385266
Mixing angles and decay constants of eta, eta-prime and eta(c)
118783546
Masslessness of the up quark and eta-->3pi0 decay
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Analytic solutions in configuration space representation for scattering from a class of separable nonlocal potentials
120952330
The Zero-Energy Continuum Bound State of the Saito Potential