A time operator in quantum mechanics

DOI10.1016/0003-4916(83)90002-7zbMath0525.46045OpenAlexW2005427152MaRDI QIDQ594359

Mariano Bauer

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0003-4916(83)90002-7

zbMATH Keywords

state vectorsconstruction of a hermitian time operator canonically conjugate to the Hamiltoniandoubly degenerate positive spectrumlower bound on a continuous energy spectrumnegative energy wave packets with forward evolutionpositive energy wave packets with backwards evolutiontime energy uncertainty relationunbound spectrum

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Miscellaneous applications of functional analysis (46N99)

Related Items (6)

Time and energy operators in the canonical quantization of special relativity ⋮ A many-body approach to transport in quantum systems: from the transient regime to the stationary state ⋮ Temporal non-locality ⋮ Ultra-weak time operators of Schrödinger operators ⋮ Bouncing wave packets, Ehrenfest theorem, and uncertainty relation based upon a new concept for the momentum of a particle in a box ⋮ Nonrelativistic phase-space and octonions

Cites Work

• Who is afraid of nonhermitian operators? A quantum description of angle and phase
• Canonical transformations to action and angle variables and their representations in quantum mechanics
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