The harmonic oscillator is a system that oscillates with a frequency that is proportional to the spring constant of the system. It can be described by the following differential equation: mx'' + kx = ...

Abstract The harmonic oscillator with time-dependent (indefinite and variable) mass subject to the force proportional to velocity is studied by extending Bateman’s dual Lagrangian and Hamiltonian ...

The quantum theory of damping is presented and illustrated by means of a driven damped harmonic oscillator. The theory is formulated in the coherent state representation which illustrates very vividly ...

We solve the master equation with a damped harmonic oscillator and squeezed bath to obtain density operators’ infinite operator–sum representation via a new approach, i.e., by virtue of the new thermo ...

Article citations More>> Fechbach, H. and Tikochinsky, Y. (1977) The New York Academy of Sciences, 38, 44. has been cited by the following article: TITLE: On the Quantum Mechanical Treatment of the ...

Derive the equation of motion for a simple harmonic oscillator. Explain the concept of Lagrangian and derive the Euler-Lagrange equation. What is the principle of least action?

The book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and ...