The quantum mechanics of a bounded linear harmonic oscillator
- 1 June 1945
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 41 (2) , 175-179
- https://doi.org/10.1017/s0305004100022520
Abstract
1. The present paper deals with an enclosed (linear) harmonic oscillator. The usual boundary condition that the wave function vanishes at infinity is here replaced by the condition that the wave function vanishes at the walls of the enclosure. The problem has been treated before (1, 2, 4). However, the present discussion goes much further than that given in the papers cited*.This publication has 3 references indexed in Scilit:
- Künstliche Grenzbedingungen in der Wellenmechanik. Der beschränkte RotatorAnnalen der Physik, 1940
- Künstliche Grenzbedingungen beim KeplerproblemAnnalen der Physik, 1938
- Über eine Integraldarstellung derM k, m -Funktionen und ihre asymptotische Darstellung für große Werte von $$\Re \mathfrak{e}k$$Mathematische Annalen, 1937