Stationary states in a potential well

Abstract

We review here in a historical context the topic of stationary states in the quantum world, including the generalization to the primary ideas. We also discuss the stationary states in one dimensional parabolic wells and the three dimensional Coulomb and parabolic cases, as well as the stationary bound states in the continuum

40 pages, 9 figures, prepared as a book chapter, last section on BICs could be not only of historic interest

References in corpus (7)

• Bound States in the Continuum from Supersymmetric Quantum Mechanics
• Bound states in the continuum in open Aharonov-Bohm rings
• Algebraic Solution of the Supersymmetric Hydrogen Atom in d Dimensions
• A simple and surprisingly accurate approach to the chemical bond obtained from dimensional scaling
• On a proposition relative to linear equations
• Localized states in the continuum in low-dimensional systems
• Bohr's 1913 molecular model revisited