Modified \(q\)-deformed Tamm-Dancoff oscillators as a model for vibrations of polyatomic molecule

DOI10.1007/S10910-014-0421-2zbMath1310.81093OpenAlexW2072776280MaRDI QIDQ2263693

Won-Sang Chung

Publication date: 19 March 2015

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

Full work available at URL: https://doi.org/10.1007/s10910-014-0421-2

zbMATH Keywords

vibrationangular momentum algebrapolyatomic moleculeJordan-Schwinger methodmodified Tamm-Dancoff oscillator

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Coherent states (81R30) Molecular physics (81V55)

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Entanglement in composite bosons realized by deformed oscillators
• TAMM-DANCOFF DEFORMATION OF BOSONIC OSCILLATOR ALGEBRAS
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• A q-OSCILLATOR WITH "ACCIDENTAL" DEGENERACY OF ENERGY LEVELS
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On quantization of simple harmonic oscillators
• DEFORMED GAS OF p, q-BOSONS: VIRIAL EXPANSION AND VIRIAL COEFFICIENTS
• Hilbert spaces of analytic functions and generalized coherent states

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