Prog. Theor. Phys. Vol. 10 No. 2 (1953) pp. 173-190
Miscellanea in Elementary Quantum Mechanics, III
Department of Physics, Osaka University
(Received June 11, 1953)
On the ground that there exists an intimate correlation between the uncertainty relation and the ground state of a quantum-mechanical system, we present here variants of the usual uncertainty relation and a method of determining the ground states for a number of systems. Strangely enough, the arguments may be applied also to excited states.
DOI : 10.1143/PTP.10.173
- H. Weyl, Gruppentheorie und Quantenmechanik, see appendix.
- A. Sommerfeld, Atombau und Spektrallinien II, p. 152, et seq. The original work is due to E. Fues.
- E. Schrodinger, Proc. R. Irish. Acad. 46 (1940), 6.
L. Infeld, Phys. Rev. 59 (1941), 737[APS].
T. Inui, Prog. Theor. Phys. 3 (1948), 168[PTP]; ibid. 3 (1948), 244[PTP].