Weak commutation relations of unbounded operators: Nonlinear extensions

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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
Lingua originaleEnglish
pagine (da-a)-
Numero di pagine13
RivistaJournal of Mathematical Physics
Volume53
Stato di pubblicazionePublished - 2012

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Unbounded Operators
commutation
operators
terminology
Hilbert space
Scalar, inner or dot product
Continue
products
Operator

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cita questo

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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",
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T1 - Weak commutation relations of unbounded operators: Nonlinear extensions

AU - Trapani, Camillo

AU - Bagarello, Fabio

AU - Inoue, Atsushi

PY - 2012

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AB - 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

KW - Commutation; Unbounded operators

UR - http://hdl.handle.net/10447/68045

UR - http://scitation.aip.org/content/aip/journal/jmp/53/12/10.1063/1.4764863

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

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