Radiation reaction and quantum damped harmonic oscillator
نویسنده
چکیده
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 quantum vacuum, obtained.
منابع مشابه
Minimal coupling method for quantum damped harmonic oscillator
Quantum mechanics of a damped harmonic oscillator investigated by its coupling with a Klein-Gordon field as environment. A new minimal coupling method introduced. Correct Heisenberg equation including a dissipative term proportional to velocity is obtained. Energy flow between oscillator and environment investigated by some transition probabilities.
متن کاملQuantum Probability Applied to the Damped Harmonic Oscillator
In this introductory course we sketch the framework of quantum probability in order to discuss open quantum systems, in particular the damped harmonic oscillator.
متن کاملSuper algebra and Harmonic Oscillator in Anti de Sitter space
The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space. Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. The shape...
متن کاملQuantum damped oscillator I: dissipation and resonances
Quantization of a damped harmonic oscillator leads to so called Bateman’s dual system. The corresponding Bateman’s Hamiltonian, being a self-adjoint operator, displays the discrete family of complex eigenvalues. We show that they correspond to the poles of energy eigenvectors and the corresponding resolvent operator when continued to the complex energy plane. Therefore, the corresponding genera...
متن کاملThe Heisenberg–langevin Model of a Quantum Damped Harmonic Oscillator with Time-dependent Frequency and Damping Coefficients
We develop a consistent model of a quantum damped harmonic oscillator with arbitrary time-dependent frequency and damping coefficients within the framework of the Heisenberg–Langevin equations with two noncommuting delta-correlated noise operators justifying the choice of the “minimal noise” set of damping coefficients and correlation functions.
متن کامل