Harmonic Oscillator with Fluctuating Mass

Harmonic Oscillator with Fluctuating Mass

We generalize the previously considered cases of a harmonic oscillator subject to a random force (Brownian motion), or having random frequency, or random damping. We consider here a random mass which corresponds to an oscillator where the particles of the surrounding medium adhere to the oscillator for some (random) time after collision, thereby changing the oscillator mass. Such a model is app...

Instabilities of the harmonic oscillator with fluctuating damping.

We investigate the instabilities of a linear damped oscillator due to fluctuations of the damping parameter. The fluctuations are driven either by Gaussian white noise or Poisson white noise (white shot noise). We consider three notions of stability. The first two are the well-known notions of stability in the mean and stability in the mean square. We introduce the concept of thermodynamic stab...

Harmonic Oscillator

Coherent state of the effective mass harmonic oscillator

We construct coherent state of the effective mass harmonic oscillator and examine some of it’s properties. In particular closed form expressions of coherent states for different choices of the mass function are obtained and it is shown that such states are not in general x − p uncertainty states. We also compute the associated Wigner functions. e-mail : [email protected] e-mail : barnana@isic...

Resonant subharmonic absorption and second-harmonic generation by a fluctuating nonlinear oscillator.

M. I. Dykman, 1 D. G. Luchinsky, 2,* R. Mannella, 3 P. V. E. McClintock, 2 S. M. Soskin, and N. D. Stein 2 Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48823 School of Physics and Chemistry, Lancaster University, Lancaster, LA1 4YB, United Kingdom Dipartimento di Fisica, Università di Pisa, Piazza Torricelli 2, 56100 Pisa, Italy ~Received 15 February 19...