Subnormality in the quantum harmonic oscillator
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by Franciszek Hugon Szafraniec, Franciszek Hugon Szafraniec, S \gamma Ss
http://www.im.uj.edu.pl/preprint/imuj1998/pr9821.ps
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Abstract:
Abstract. This is an invitation to enjoy watching how unbounded subnormality, a rather recent development, gets involved in solving the commutation relation of the quantum harmonic oscillator. 1991 Mathematics Subject Classification. Primary 47B20; Secondary 47B15, 47B47, 81S05. Key words and phrases. normal, formally normal and subnormal operators, quantum harmonic
Citations
| 13 | Commutation properties of Hilbert space operators and related topics – Putnam - 1967 |
| 12 | Theory of linear operators in Hilbert space, vol – Akhiezer, Glazman - 1981 |
| 4 | On normal extensions of unbounded operators – Stochel, Szafraniec - 1989 |
| 2 | Sur la relation i(P – Dixmier - 1958 |
| 2 | Commutative algebras of unbounded operators – Jorgensen - 1987 |
| 2 | Eindeutigkeitssatz fur die Losungen der quantenmechanischen Vertauschungsrelationen – Rellich, Der - 1946 |
| 2 | Subnormality and generalized commutation relations – Stochel - 1988 |
| 2 | A RKHS of entire functions and its multiplication operator. An explicit example – Szafraniec |
| 2 | Zur Eindeutigkeit der Losungen der quantummechanischen Vertauschungsrelationen, Acta Sci – Tillmann - 1963 |
| 1 | On strongly normal extensions of unbounded operators – Ota |
