In Phys. Rep. 137, 49 (1986) John S. Bell proposed how to associate
particle trajectories with a lattice quantum field theory, yielding what can be
regarded as a |Psi|^2-distributed Markov process on the appropriate
configuration space. A similar process can be defined in the continuum, for
more or less any regularized quantum field theory; such processes we call
Bell-type quantum field theories. We describe methods for explicitly
constructing these processes. These concern, in addition to the definition of
the Markov processes, the efficient calculation of jump rates, how to obtain
the process from the processes corresponding to the free and interaction
Hamiltonian alone, and how to obtain the free process from the free Hamiltonian
or, alternatively, from the one-particle process by a construction analogous to
"second quantization." As an example, we consider the process for a second
quantized Dirac field in an external electromagnetic field.
%0 Generic
%1 citeulike:1437791
%A Duerr, Detlef
%A Goldstein, Sheldon
%A Tumulka, Roderich
%A Zanghi, Nino
%D 2004
%K bell-type field quantum theories
%T Bell-Type Quantum Field Theories
%U http://arxiv.org/abs/quant-ph/0407116
%X In Phys. Rep. 137, 49 (1986) John S. Bell proposed how to associate
particle trajectories with a lattice quantum field theory, yielding what can be
regarded as a |Psi|^2-distributed Markov process on the appropriate
configuration space. A similar process can be defined in the continuum, for
more or less any regularized quantum field theory; such processes we call
Bell-type quantum field theories. We describe methods for explicitly
constructing these processes. These concern, in addition to the definition of
the Markov processes, the efficient calculation of jump rates, how to obtain
the process from the processes corresponding to the free and interaction
Hamiltonian alone, and how to obtain the free process from the free Hamiltonian
or, alternatively, from the one-particle process by a construction analogous to
"second quantization." As an example, we consider the process for a second
quantized Dirac field in an external electromagnetic field.
@misc{citeulike:1437791,
abstract = {In [Phys. Rep. 137, 49 (1986)] John S. Bell proposed how to associate
particle trajectories with a lattice quantum field theory, yielding what can be
regarded as a |Psi|^2-distributed Markov process on the appropriate
configuration space. A similar process can be defined in the continuum, for
more or less any regularized quantum field theory; such processes we call
Bell-type quantum field theories. We describe methods for explicitly
constructing these processes. These concern, in addition to the definition of
the Markov processes, the efficient calculation of jump rates, how to obtain
the process from the processes corresponding to the free and interaction
Hamiltonian alone, and how to obtain the free process from the free Hamiltonian
or, alternatively, from the one-particle process by a construction analogous to
"second quantization." As an example, we consider the process for a second
quantized Dirac field in an external electromagnetic field.},
added-at = {2007-08-18T13:22:24.000+0200},
author = {Duerr, Detlef and Goldstein, Sheldon and Tumulka, Roderich and Zanghi, Nino},
biburl = {https://www.bibsonomy.org/bibtex/267c5c32234d728dcb65a3975d678cd83/a_olympia},
citeulike-article-id = {1437791},
description = {citeulike},
eprint = {quant-ph/0407116},
interhash = {7c4c4ea06ad8238cbcd1540ef3e7b0b2},
intrahash = {67c5c32234d728dcb65a3975d678cd83},
keywords = {bell-type field quantum theories},
month = Jul,
priority = {2},
timestamp = {2007-08-18T13:22:26.000+0200},
title = {Bell-Type Quantum Field Theories},
url = {http://arxiv.org/abs/quant-ph/0407116},
year = 2004
}