WAVE FUNCTION OF THE TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR

DOI10.1142/S0217984902004147zbMath1081.81519OpenAlexW2040143425MaRDI QIDQ3368629

I. A. Pedrosa, I. Guedes

Publication date: 31 January 2006

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

Full work available at URL: https://doi.org/10.1142/s0217984902004147

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of hypergeometric functions (33C90)

Related Items (11)

QUANTUM STATES OF A GENERALIZED TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR ⋮ On the Quantization Problem of a Driven Harmonic Oscillator with Time Dependent Mass and Frequency ⋮ Coherent states of the inverted Caldirola-Kanai oscillator with time-dependent singularities ⋮ Geometric phases and squeezed quantum states of relic gravitons ⋮ EXACT QUANTUM STATES OF AN INVERTED PENDULUM UNDER TIME-DEPENDENT GRAVITATION ⋮ Interference in phase space of squeezed states for the time-dependent Hamiltonian system ⋮ On the quantization of the electromagnetic field in conducting media ⋮ Gaussian wave packet states of scalar fields in a universe of de Sitter ⋮ Quantum motion, coherent states and geometric phase of a generalized damped pendulum ⋮ Wave functions of log-periodic oscillators ⋮ The quantum Lane-Emden-type Kanai-Caldirola oscillators

Cites Work

• The exact solution for the generalized time-dependent harmonic oscillator and its adiabatic limit
• Ermakov systems, exact solution, and geometrical angles and phases
• Geometric Phase, Hannay's Angle, and an Exact Action Variable

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