Stability of oscillators driven by ergodic processes

M. G. Nerurkar; H. R. Jauslin

doi:https://doi.org/10.1063/1.530657

Stability of oscillators driven by ergodic processes

M. G. Nerurkar, H. R. Jauslin

Rutgers, The State University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The evolution of a quantum harmonic oscillator, forced by a stationary ergodic process, is considered. Under suitable conditions on the "dynamics" of this process, it is shown that generically the spectrum of the associated quasienergy operator is continuous. These results also apply to kicked harmonic oscillators where the amplitudes of the kicks are governed by a stationary ergodic process.

Original language	American English
Pages (from-to)	628-645
Number of pages	18
Journal	Journal of Mathematical Physics
Volume	35
Issue number	2
DOIs	https://doi.org/10.1063/1.530657
State	Published - 1994

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Stability of oscillators driven by ergodic processes",

abstract = "The evolution of a quantum harmonic oscillator, forced by a stationary ergodic process, is considered. Under suitable conditions on the {"}dynamics{"} of this process, it is shown that generically the spectrum of the associated quasienergy operator is continuous. These results also apply to kicked harmonic oscillators where the amplitudes of the kicks are governed by a stationary ergodic process.",

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AU - Jauslin, H. R.

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AB - The evolution of a quantum harmonic oscillator, forced by a stationary ergodic process, is considered. Under suitable conditions on the "dynamics" of this process, it is shown that generically the spectrum of the associated quasienergy operator is continuous. These results also apply to kicked harmonic oscillators where the amplitudes of the kicks are governed by a stationary ergodic process.

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DO - https://doi.org/10.1063/1.530657

M3 - Article

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SP - 628

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Stability of oscillators driven by ergodic processes

Abstract

ASJC Scopus subject areas

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