An uncertainty relation for the orbital angular momentum operator

DOI10.1007/s10701-016-9988-8zbMath1369.81053OpenAlexW2272939038MaRDI QIDQ2011810

M. Sayyah-Fard, Hossein Fakhri

Publication date: 7 August 2017

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

Full work available at URL: https://doi.org/10.1007/s10701-016-9988-8

zbMATH Keywords

uncertainty relationcoherent statesorbital angular momentum operator\(\operatorname{su}(2)\) and \(\operatorname{su}(1,1)\) Lie algebras

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (3)

\(q\)-coherent states associated with the noncommutative complex plane \(\mathbb C_{q^2}\) for the Biedenharn-Macfarlane \(q\)-oscillator ⋮ sl(2)-modules by sl(2)-coherent states ⋮ A reducible Weil representation of sp(4) realized by differential operators in the space of smooth functions on H2 × S1

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coherent states for Landau levels: algebraic and thermodynamical properties
• Construction of the Barut-Girardello quasi coherent states for the Morse potential
• Landau levels as a limiting case of a model with the Morse-like magnetic field
• Factorization method in quantum mechanics
• Generalized Barut-Girardello coherent states for mixed states with arbitrary distribution
• Superpositions of the \(\text{SU}(1,1)\) coherent states
• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• New 'coherent' states associated with non-compact groups
• Entangled coherent states for systems withSU(2) andSU(1,1) symmetries
• A Weil Representation of sp(4) Realized by Differential Operators in the Space of Smooth Functions on S² × S¹
• Analytic representations based onSU(1 , 1) coherent states and their applications
• su(1, 1)-Barut–Girardello coherent states for Landau levels
• Uncertainty relations for angular momentum
• Quantum States Allowing Minimum Uncertainty Product of   and Lz
• EXACT SOLUTIONS, LADDER OPERATORS AND BARUT–GIRARDELLO COHERENT STATES FOR A HARMONIC OSCILLATOR PLUS AN INVERSE SQUARE POTENTIAL
• Non-compact groups, coherent states, relativistic wave equations and the harmonic oscillator

This page was built for publication: An uncertainty relation for the orbital angular momentum operator