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Some Jump Processes in Quantum Field Theory
Roderich Tumulka, Hans-Otto Georgii
A jump process for the positions of interacting quantum particles on a lattice, with time-dependent transition rates governed by the state vector, was first considered by J.S. Bell…
Global Existence of Bell's Time-Inhomogeneous Jump Process for Lattice Quantum Field Theory
Hans-Otto Georgii, Roderich Tumulka
We consider the time-inhomogeneous Markovian jump process introduced by John S. Bell [Phys.Rep. 137, 49] for a lattice quantum field theory, which runs on the associated configurat…
On the Role of Density Matrices in Bohmian Mechanics
Detlef Duerr, Sheldon Goldstein, Roderich Tumulka +1
It is well known that density matrices can be used in quantum mechanics to represent the information available to an observer about either a system with a random wave function (``s…
On the Distribution of the Wave Function for Systems in Thermal Equilibrium
Sheldon Goldstein, Joel L. Lebowitz, Roderich Tumulka +1
For a quantum system, a density matrix rho that is not pure can arise, via averaging, from a distribution mu of its wave function, a normalized vector belonging to its Hilbert spac…
John Bell Across Space and Time
Nino Zanghi, Roderich Tumulka
This is a review of the book Quantum [Un]speakables: From Bell to Quantum Information. Reinhold A. Bertlmann and Anton Zeilinger (editors).
Bohmian Mechanics and Quantum Field Theory
Detlef Duerr, Sheldon Goldstein, Roderich Tumulka +1
We discuss a recently proposed extension of Bohmian mechanics to quantum field theory. For more or less any regularized quantum field theory there is a corresponding theory of part…
Quantum Hamiltonians and Stochastic Jumps
Detlef Duerr, Sheldon Goldstein, Roderich Tumulka +1
With many Hamiltonians one can naturally associate a |Psi|^2-distributed Markov process. For nonrelativistic quantum mechanics, this process is in fact deterministic, and is known…