Abstract Formulation of the Quantum Mechanical Oscillator Phase Problem

DOI10.1063/1.1665669zbMath0212.16103OpenAlexW1982021038MaRDI QIDQ5613486

Evangelos K. Ifantis

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1063/1.1665669

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Special classes of linear operators (47B99)

Related Items

Quantum localisation on the circle, Perron-frobenius-type theorems for tridiagonal operators, Solution of the Schrödinger Equation in the Hardy-Lebesgue Space, Three paths toward the quantum angle operator, Riemannian structure on manifolds of quantum states, Canonical transforms. III. Configuration and phase descriptions of quantum systems possessing an s l (2,R) dynamical algebra, On the support of the measure of orthogonality of a class of orthogonal polynomials., Absence of the point spectrum in a class of tridiagonal operators., The Absolute Continuity of Phase Operators, The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators

Cites Work

• Hyponormal operators
• Minimum Uncertainty Product, Number-Phase Uncertainty Product, and Coherent States
• Spectral Theory of the Difference Equation f(n + 1) + f(n − 1) = [E − φ(n)f(n)]
• Angle and Phase Coordinates in Quantum Mechanics
• Structure of the Point Spectrum of Schrödinger-Type Tridiagonal Operators