منابع مشابه
Ionization in Damped Time-harmonic Fields
We study the asymptotic behavior of the wave function in a simple one dimensional model of ionization by pulses, in which the time-dependent potential is of the form V (x, t) = −2δ(x)(1 − e cosωt), where δ is the Dirac distribution. We find the ionization probability in the limit t → ∞ for all λ and ω. The long pulse limit is very singular, and, for ω = 0, the survival probability is const λ, m...
متن کاملTime - Harmonic Electromagnetic Fields in
This paper deals with the scattering problem by an inhomogeneous object embedded in a chiral medium. A combined Hilbert space and integral equation method is employed to prove the existence and uniqueness of the solutions to the scattering problem. It is shown that the classical Silver-M uller radiation condition remains valid in chiral media.
متن کاملDamped Quantum Harmonic Oscillator
In the framework of the Lindblad theory for open quantum systems the damping of the harmonic oscillator is studied. A generalization of the fundamental constraints on quantum mechanical diffusion coefficients which appear in the master equation for the damped quantum oscillator is presented; the Schrödinger and Heisenberg representations of the Lindblad equation are given explicitly. On the bas...
متن کاملUniform Asymptotic Stability of Time-varying Damped Harmonic Oscillators
Abstract. This paper presents sufficient conditions which guarantee that the equilibrium of the damped harmonic oscillator x′′ + h(t)x′ + ωx = 0 is uniformly asymptotically stable, where h : [0,∞) → [0,∞) is locally integrable. These conditions work to suppress the rapid growth of the frictional force expressed by the integral amount of the damping coefficient h. The obtained sufficient conditi...
متن کاملQuantum Damped Harmonic Oscillator Revisited
In this paper we revisit the quantum damped harmonic oscillator and construct an interesting approximate solution in the operator algebra level. Namely, we first give the general solution to the Lindblad form (equation) and next construct an approximate solution to the full equation by use of it. Our method is a milestone to construct the general solution. In this paper we revisit dynamics of a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/32/325202