Abstract
In this paper, we discuss Newton equation for the harmonic oscillator with probability distributions in frequency, where the frequency is a stochastic variable with a suitable probability distribution. A new type of Newton equation is obtained by taking the stochastic average of Newton equation with harmonic force with respect to the fluctuating frequency. This method is also applied to the Schrödinger equation with harmonic potential.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.