Scattering and bound states by localized potentials

2010/10/13 by Antonio S. de Castro, de Castro, A. S.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1010.2649

openalex publication_date 2010/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple formalism for exploring quantum scattering and possible bound states in an arbitrary symmetric and localized potential in a unified way is presented. The symmetric square barrier and well potentials are used for illustrating the method.

Related

• Scattering states and bound states of exponential potentials
• Scattering and Bound States of a Deformed Quantum Mechanics
• Stationary Perturbation Theory with Spatially Well-separated Potentials
• The DKP equation in the Woods-Saxon potential well: Bound states
• Lamb's reconstruction of potentials and spatially localized scattering in nonrelativistic quantum mechanics