Change of representation and the rigged Hilbert space formalism in quantum mechanics

DOI10.1016/S0034-4877(21)00023-9OpenAlexW3163141518MaRDI QIDQ2040722

Nadia Boudi, Zakariae Ennadifi

Publication date: 14 July 2021

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(21)00023-9

zbMATH Keywords

Weyl algebraquantum harmonic oscillatorrigged Hilbert spacegeneralized eigenvectorschange of representation

Mathematics Subject Classification ID

Functional analysis (46-XX) Quantum theory (81-XX)

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Cites Work

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• Estimates of the Hermite and the Freud polynomials
• Analytic vectors
• New orthogonality relations for the Hermite polynomials and related Hilbert spaces
• Partial inner product spaces. Theory and applications
• Expansions in generalized eigenfunctions of selfadjoint operators
• Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space formulation of quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin, USA. Ed. by A. Bohm and J. D. Dollard
• Partial inner product spaces. I: General properties
• On the mathematical basis of the Dirac formulation of quantum mechanics
• Rigged Hilbert spaces in quantum mechanics
• Rigged Hilbert spaces and one-particle Schrödinger operators
• On the eigenvector algebra of the product of elements with commutator one in the first Weyl algebra
• On a Hilbert space of analytic functions and an associated integral transform part I
• Rigorous bra-ket formalism and wave function operator for one particle quantum mechanics
• Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra
• On the centralizers in the Weyl algebra
• The Spectral Representation of Normal Operators on a Rigged Hilbert Space
• Sur les algèbres de Weyl
• Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism
• The Statistical Interpretation of Quantum Mechanics

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