Discrete Excitation Spectrum of a Classical Harmonic Oscillator in Zero-Point Radiation

Radiation from a uniformly accelerating harmonic oscillator

We consider a radiation from a uniformly accelerating harmonic oscillator whose minimal coupling to the scalar field changes suddenly. The exact time evolutions of the quantum operators are given in terms of a classical solution of a forced harmonic oscillator. After the jumping of the coupling constant there occurs a fast absorption of energy into the oscillator, and then a slow emission follo...

Discrete-to-continuum Transitions and Mathematical Generalizations in the Classical Harmonic Oscillator

Discrete interaction models for the classical harmonic oscillator are used for introducing new mathematical generalizations in the usual continuous formalism. The inverted harmonic potential and generalized discrete hyperbolic and trigonometric functions are defined.

Radiation reaction and quantum damped harmonic oscillator

By taking a Klein-Gordon field as the environment of an harmonic oscillator and using a new method for dealing with quantum dissipative systems (minimal coupling method), the quantum dynamics and radiation reaction for a quantum damped harmonic oscillator investigated. Applying perturbation method, some transition probabilities indicating the way energy flows between oscillator, reservoir and q...

gravitational radiation of a 3d harmonic oscillator in f (r) gravity

the energy loss of a 3-dimensional harmonic oscillator due to the quadrupole radiation in quadratic f (r) gravity is calculated.

Solving discrete zero point problems