Tunnelling process for non-Hermitian systems: the complex-frequency inverted oscillator

DOI10.1088/0305-4470/26/17/012zbMath0797.34085OpenAlexW2060726763WikidataQ62145618 ScholiaQ62145618MaRDI QIDQ4299310

Sotirios Baskoutas, V. Papatheou, A. Jannussis, Roberto Mignani

Publication date: 29 June 1994

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

Full work available at URL: https://doi.org/10.1088/0305-4470/26/17/012

zbMATH Keywords

tunnel effectinverted oscillatorevolution operator methodtunnelling timeWei-Norman theoremnon-Hermitian (NH) Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (4)

Complex oscillator and Painlevé IV equation ⋮ Hartman effect and dissipative quantum systems ⋮ NON-HERMITIAN QUANTUM DYNAMICS OF A TWO-LEVEL SYSTEM AND MODELS OF DISSIPATIVE ENVIRONMENTS ⋮ Anti- \(\mathcal{PT}\)-symmetric harmonic oscillator and its relation to the inverted harmonic oscillator

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