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Prog. Theor. Phys. Vol. 10 No. 2 (1953) pp. 173-190
Miscellanea in Elementary Quantum Mechanics, III
Kôdi Husimi and
Masuhiko Ôtuka
Department of Physics, Osaka University
(Received June 11, 1953)
Abstract:
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.
URL :
http://ptp.ipap.jp/link?PTP/10/173/
DOI : 10.1143/PTP.10.173
References:
- 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].
