Canonically Conjugate Pairs, Uncertainty Relations, and Phase Operators

DOI10.1063/1.1665388zbMath0196.28003OpenAlexW2072496546MaRDI QIDQ5592953

J. Wong, J. C. Garrison

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1063/1.1665388

zbMATH Keywords

quantum theory

Related Items (30)

Phase Operator on $$L^2(\mathbb {Q}_p)$$ and the Zeroes of Fisher and Riemann ⋮ Quantization in polar coordinates and the phase operator ⋮ Unnamed Item ⋮ Coherent state quantization and phase operator ⋮ Quantum localisation on the circle ⋮ Phase-number uncertainty from Weyl commutation relations ⋮ Solution of the Schrödinger Equation in the Hardy-Lebesgue Space ⋮ Universal raising and lowering operators for a discrete energy spectrum ⋮ On unusual statistics and quantum point vortices ⋮ Thermal time as an unsharp observable ⋮ General phase spaces: from discrete variables to rotor and continuum limits ⋮ Uncertainty relations in quantum optics. Is the photon intelligent? ⋮ Time, classical and quantum ⋮ Time and quantum theory: a history and a prospectus ⋮ The puzzle of canonical transformations in early quantum mechanics ⋮ Autonomous quantum machines and finite-sized clocks ⋮ Generalized Weyl quantization on the cylinder and the quantum phase ⋮ Quantum phase in the Jaynes-Cummings model describing an electric dipole transition ⋮ Applications of deformed oscillators ⋮ Existence theorems for ordered variants of Weyl quantization ⋮ Dequantization techniques for Weyl quantization ⋮ Canonical transforms. III. Configuration and phase descriptions of quantum systems possessing an s l (2,R) dynamical algebra ⋮ From the Weyl quantization of a particle on the circle to number-phase Wigner functions ⋮ Dynamics as the preservation of a constant commutator ⋮ Minimum uncertainty states for Dirac's number-phase pair ⋮ The uniqueness question in the multidimensional moment problem with application to phase space observables. ⋮ The phase representation of covariant phase observables ⋮ Self-adjoint Lyapunov variables, temporal ordering, and irreversible representations of Schrödinger evolution ⋮ Covariant phase observables in quantum mechanics ⋮ Transition representations of quantum evolution with application to scattering resonances

Cites Work

• Analytic vectors
• Note on Continuous Representations of Lie Groups

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