QUANTUM STATES OF A GENERALIZED TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR

DOI10.1142/S0217979204024732zbMath1073.81564arXivquant-ph/0307084OpenAlexW3101763117MaRDI QIDQ5312148

I. A. Pedrosa, I. Guedes

Publication date: 30 August 2005

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0307084

zbMATH Keywords

invariantwave functionsinvariant methodWeber functionsInverted oscillator

Mathematics Subject Classification ID

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

Related Items (8)

Higher derivative gravity’s anti-Newtonian limit and the Caldirola–Kanai oscillator ⋮ A geometric approach to time evolution operators of Lie quantum systems ⋮ C${\cal C}$osmological G${\cal G}$eometric P${\cal P}$hase F${\cal F}$rom P${\cal P}$ure Q${\cal Q}$uantum S${\cal S}$tates: A Study without/ with having Bell's Inequality Violation ⋮ Green's second identity for vector fields ⋮ Hartman effect and dissipative quantum systems ⋮ On eigenproblem for inverted harmonic oscillators ⋮ Exact linear invariants and quantum effects in the early Universe ⋮ Anti- \(\mathcal{PT}\)-symmetric harmonic oscillator and its relation to the inverted harmonic oscillator

Cites Work

• WAVE FUNCTION OF THE TIME-DEPENDENT INVERTED HARMONIC OSCILLATOR
• Dissipative tunnelling of the inverted Caldirola-Kanai oscillator

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