Stability of oscillators driven by ergodic processes

M. G. Nerurkar, H. R. Jauslin

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 languageAmerican English
Pages (from-to)628-645
Number of pages18
JournalJournal of Mathematical Physics
Issue number2
StatePublished - 1994

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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