Supersymmetric Quantum Mechanics of Scattering

Abstract

In the quantum mechanics of collision problems we must consider scattering states of the system. For these states, the wave functions do not remain in Hilbert space, but they are expressible in terms of generalized functions of a Gel'fand triplet. Supersymmetric quantum mechanics for dealing with the scattering states is here proposed.

7 pages, AmS-LaTeX, no figure, v2

References in corpus (2)

• Operator Methods of the Parabolic Potential Barrier
• Stationary Flows of the Parabolic Potential Barrier in Two Dimensions

Cited by in corpus (8)

• Physics of the Inverted Harmonic Oscillator: From the lowest Landau level to event horizons
• Supersymmetry in quantum mechanics: An extended view
• Observation of the Higgs Boson of strong interaction via Compton scattering by the nucleon
• Ladder Operators in Repulsive Harmonic Oscillator with Application to the Schwinger Effect
• Structure of the nucleon and spin-polarizabilities
• Non-Hermitian inverted Harmonic Oscillator-Type Hamiltonians Generated from Supersymmetry with Reflections
• Studies on the electromagnetic structure of the nucleon by free and quasi-free Compton scattering at MAMI (Mainz)
• A Supersymmetric Approach to the Problem of Micro-bending Attenuation in Optical Waveguides