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Weak commutation relations of unbounded operators and applications

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Publication:2851759
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DOI10.1063/1.3660682zbMath1273.47062arXiv1110.6543OpenAlexW3102532590MaRDI QIDQ2851759

Camillo Trapani, Fabio Bagarello, Atsushi Inoue

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6543



Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05)


Related Items (5)

\(\mathcal D\)-deformed harmonic oscillators ⋮ Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra ⋮ Non-self-adjoint hamiltonians defined by Riesz bases ⋮ Pseudo-bosons for the \(D_2\) type quantum Calogero model ⋮ Weak commutation relations of unbounded operators: Nonlinear extensions



Cites Work

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  • Examples of pseudo-bosons in quantum mechanics
  • On the Heisenberg commutation relation. II
  • On the Heisenberg commutation relation. I
  • Functional Analysis
  • Pseudobosons, Riesz bases, and coherent states
  • GENERALIZED WEAK WEYL RELATION AND DECAY OF QUANTUM DYNAMICS


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