/ 96 03 42 4 v 1 2 8 M ar 1 99 6 Feynman integral in regularized non - relativistic quantum electrodynamics
نویسنده
چکیده
We express the unitary time evolution in non-relativistic regularized quantum electrodynamics at zero and positive temperature by a Feynman integral defined in terms of a complex Brownian motion. An average over the quantum electromagnetic field determines the form of the quantum mechanics in an environment of a quantum black body radiation. In this non-perturbative formulation of quantum electrodynamics we prove the existence of the classical limit ¯ h → 0.We estimate an error to some approximations commonly applied in quantum radiation theory.
منابع مشابه
ua nt - p h / 97 03 03 1 v 1 1 8 M ar 1 99 7 Wiener Integration for Quantum Systems : A Unified Approach to the Feynman - Kac formula ∗
A generalized Feynman–Kac formula based on the Wiener measure is presented. Within the setting of a quantum particle in an electromagnetic field it yields the standard Feynman–Kac formula for the corresponding Schrödinger semigroup. In this case rigorous criteria for its validity are compiled. Finally, phase–space path–integral representations for more general quantum Hamiltonians are derived. ...
متن کامل/ 96 03 02 5 v 1 2 2 M ar 1 99 6 On a physical realization of Chern - Simons Theory
The physical content of Chern-Simons-action is discussed and it is shown that the this action is proportional to the usual chraged matter interaction term in electrodynamics.
متن کامل0 v 1 5 M ar 2 00 6 Four - loop verification of algorithm for Feynman diagrams summation in N = 1 supersymmetric electrodynamics
A method of Feynman diagrams summation, based on using Schwinger-Dyson equations and Ward identities, is verified by calculating some four-loop diagrams in N = 1 supersymmetric electrodynamics, regularized by higher derivatives. In particular, for the considered diagrams correctness of an additional identity for Green functions, which is not reduced to the gauge Ward identity, is proved.
متن کاملar X iv : q ua nt - p h / 96 03 01 2 v 1 8 M ar 1 99 6 A Model Of The Integer Quantum Hall Effect
We discuss a model for the integer quantum Hall effect which is based on a Schroedinger-Chern-Simons-action functional for a non-interacting system of electrons in an electromagnetic field on a mutiply connected manifold. In this model the integer values of the Hall conductivity arises in view of the quanti-zation of the Chern-Simons-action functional for electromagnetic potential.
متن کاملua nt - p h / 96 03 01 8 v 1 1 3 M ar 1 99 6 On the concept of the tunneling time
Asymptotic time evolution of a wave packet describing a non-relativistic particle incident on a potential barrier is considered, using the Wigner phase-space distribution. The distortion of the trasmitted wave packet is determined by two time-like parameters, given by the energy derivative of the complex transmission amplitude. The result is consistent with various definitions of the tunneling ...
متن کامل