The quantum Lane-Emden-type Kanai-Caldirola oscillators

DOI10.1063/1.4768702zbMath1278.81058OpenAlexW2037708713MaRDI QIDQ2872482

V. H. L. Bessa, I. Guedes

Publication date: 14 January 2014

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

Full work available at URL: https://doi.org/10.1063/1.4768702

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear accretive operators, dissipative operators, etc. (47B44)

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Cites Work

• A nonlinear superposition rule for solutions of the Milne-Pinney equation
• On the quantum motion of a generalized time-dependent forced harmonic oscillator
• Generalized Lane-Emden equation and the structure of galactic dark matter
• WAVE FUNCTION OF THE TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR
• APPLICATIONS OF LIE SYSTEMS IN DISSIPATIVE MILNE–PINNEY EQUATIONS
• ANNIHILATION AND CREATION OPERATORS FOR THE CALDIROLA–KANAI HAMILTONIAN WITH COMPLEX FRICTION COEFFICIENT
• Investigation of the time evolution of Lane–Emden-type Kanai–Caldirola oscillator
• Dissipative tunnelling of the inverted Caldirola-Kanai oscillator