SU(1,1) LIE ALGEBRA APPLIED TO THE TIME-DEPENDENT QUADRATIC HAMILTONIAN SYSTEM PERTURBED BY A SINGULARITY

DOI10.1142/S0217979204026627zbMath1061.81035OpenAlexW1985588138WikidataQ115246198 ScholiaQ115246198MaRDI QIDQ4655451

Seong Soo Choi, Jeong-Ryeol Choi

Publication date: 11 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0217979204026627

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (4)

Coherent states of the inverted Caldirola-Kanai oscillator with time-dependent singularities ⋮ SU\((1,1)\) coherent states for the generalized two-mode time-dependent quadratic Hamiltonian system ⋮ UNCERTAINTY RELATIONS FOR THE TIME-DEPENDENT SINGULAR OSCILLATOR ⋮ UNCERTAINTY RELATION IN THE BARUT–GIRARDELLO COHERENT STATE FOR THE TIME-DEPENDENT SINGULAR OSCILLATOR

Cites Work

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• Approach to the quantum evolution for underdamped, critically damped, and overdamped driven harmonic oscillators using unitary transformation
• Superpositions of the \(\text{SU}(1,1)\) coherent states
• New 'coherent' states associated with non-compact groups
• Dissipative mass-accreting quantum oscillator
• Squeezed states for general systems
• Exact solutions for the general nonstationary oscillator with a singular perturbation
• OPERATOR METHOD FOR A NONCONSERVATIVE HARMONIC OSCILLATOR WITH AND WITHOUT SINGULAR PERTURBATION
• COHERENT STATES OF NONCONSERVATIVE HARMONIC OSCILLATOR WITH A SINGULAR PERTURBATION

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