Spontaneous localization for a charged particle in non-relativistic quantum mechanics
نویسنده
چکیده
The interaction of a moving charged particle with its coherent electromagnetic field is analysed in the framework of non-relativistic quantum mechanics. It is shown that, when this interaction is taken into account, a spatially localized state may have a mean energy lower than the one corresponding to a delocalized state. PACS. 03.65.-w Quantum mechanics – 03.70.+k Theory of quantized fields – 11.10.-z Field theory
منابع مشابه
Localization of non-relativistic particles
This paper is a contribution to the problem of particle localization in non-relativistic Quantum Mechanics. Our main results will be (1) to formulate the problem of localization in terms of invariant subspaces of the Hilbert space, and (2) to show that the rigged Hilbert space incorporates particle localization in a natural manner. PACS numbers: 03.65.-w
متن کاملX iv : h ep - p h / 97 06 37 2 v 1 1 6 Ju n 19 97 Reduction of the wave packet of a relativistic charged particle by emission of a photon
The problem of reduction of the wave packet of a relativistic charged particle by emission of a photon is studied with help of the path integral approach. A general expression for arbitrary order correlation function of the electromagnetic field is obtained. As a specific example an ultrarelativistic electron circulating in a storage ring is considered. It is shown that the longitudinal width o...
متن کاملOn relativistic quantum mechanics in the rest- frame instant form of dynamics
A review is given of a new relativistic classical mechanics for N-particle systems compatible with relativistic bound states. It is formulated in global non-inertial frames in Minkowski space-time by means of parametrized Minkowski theories and then restricted to the intrinsic inertial rest frame of the isolated system. There is a complete control on the relativistic collective variables (Newto...
متن کاملمطالعه انتشار همدوس لپتونهای باردار ناشی از واپاشی پایون و W بوزون در مکانیک بوهمی
Although charged leptons, contrary to neutrinos, cannot oscillate, exploring whether a coherent superposition of charged lepton states can change to others during the propagation is an important problem in the neutrino oscillation theory. In this paper, we consider electrons and muons coming from the pions and W decays and study their propagation in relativistic Bohmian quantum mechanics. We f...
متن کاملElectrostatic-gravitational oscillator
We examine the one-dimensional motion of two similarly charged particles under the influence of only two forces, i.e. their Coulombic repulsion and their gravitational attraction, using the relativistic equation of motion. We find that when the rest mass of the two particles is sufficiently small (∼ 0.4 eV/c) and the initial Coulombic potential energy is sufficiently high (∼ mpc , where mp is t...
متن کامل