q-UNCERTAINTY RELATIONS

DOI10.1142/S0217751X98000780zbMath0936.81010arXivq-alg/9707013MaRDI QIDQ4259555

Robert Finkelstein

Publication date: 5 September 1999

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9707013

zbMATH Keywords

Fock representation\(q\)-commutators\(q\)-harmonic oscillator\(q\)-Fourier transformsHeisenberg uncertainty rules

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (14)

DEFORMED QUANTUM STATISTICS IN TWO DIMENSIONS ⋮ Rate of convergence of Stancu type modified \(q\)-Gamma operators for functions with derivatives of bounded variation ⋮ Statistical field theories deformed within different calculi ⋮ Thermostatistics of deformed bosons and fermions ⋮ Unnamed Item ⋮ Improved \(q\)-exponential and \(q\)-trigonometric functions ⋮ Basic-deformed quantum mechanics ⋮ Non-extensive entropy in \(q\)-deformed quantum groups ⋮ Some properties of \(q\)-Bernstein-Durrmeyer operators ⋮ A Method for q-Calculus ⋮ On approximation to discrete \(q\)-derivatives of functions via \(q\)-Bernstein-Schurer operators ⋮ The \(q\)-deformed harmonic oscillator, coherent states, and the uncertainty relation ⋮ \(q\)-deformed structures and generalized thermodynamics ⋮ Multi-dimensional q-deformed bosonic Newton oscillators and the related q-calculus, q-coherent states, and Hermite q-polynomials

Cites Work

• Uncertainty relation in quantum mechanics with quantum group symmetry
• Transformation theory of the q-oscillator
• The q-Coulomb problem

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