We continue our analysis of the consequences of the commutation relation [S, T ] = 1, where S and T are two closable unbounded operators. The weak sense of this commutator is given in terms of the inner product of the Hilbert space H, where the operators act. We also consider what we call, adopting a physical terminology, a nonlinear extension of the above commutation relations. C

Bagarello, F., Inoue, A., Trapani, C. (2012). Weak commutation relations of unbounded operators: Nonlinear extensions. JOURNAL OF MATHEMATICAL PHYSICS, 53 [10.1063/1.4764863].

Weak commutation relations of unbounded operators: Nonlinear extensions

BAGARELLO, Fabio;TRAPANI, Camillo
2012-01-01

Abstract

We continue our analysis of the consequences of the commutation relation [S, T ] = 1, where S and T are two closable unbounded operators. The weak sense of this commutator is given in terms of the inner product of the Hilbert space H, where the operators act. We also consider what we call, adopting a physical terminology, a nonlinear extension of the above commutation relations. C
Settore MAT/05 - Analisi Matematica
Settore MAT/07 - Fisica Matematica
http://scitation.aip.org/content/aip/journal/jmp/53/12/10.1063/1.4764863
Bagarello, F., Inoue, A., Trapani, C. (2012). Weak commutation relations of unbounded operators: Nonlinear extensions. JOURNAL OF MATHEMATICAL PHYSICS, 53 [10.1063/1.4764863].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/68045
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