Matrix representation of the time operator

DOI10.1063/1.4729286zbMath1276.81048arXiv1201.3838OpenAlexW3106064911MaRDI QIDQ2865443

Carl M. Bender, Mariagiovanna Gianfreda

Publication date: 29 November 2013

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

Full work available at URL: https://arxiv.org/abs/1201.3838

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (2)

Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations ⋮ The Bender-Dunne basis operators as Hilbert space operators

Cites Work

• Nonunique \(C\) operator \(PT\) in quantum mechanics
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• The symmetric Meixner-Pollaczek polynomials with real parameter
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• Polynomials and operator orderings
• The Hahn and Meixner polynomials of an imaginary argument and some of their applications
• Time in Quantum Mechanics
• Pauli's theorem and quantum canonical pairs: the consistency of a bounded, self–adjoint time operator canonically conjugate to a Hamiltonian with non–empty point spectrum
• Continuous Hahn polynomials and the Heisenberg algebra
• Self–adjoint time operator is the rule for discrete semi–bounded Hamiltonians
• The Casimir effect: recent controversies and progress
• Unnamed Item

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