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- Detlef Diirr, Sheldon Goldstein, Nino Zanghi
- 1992

The quantum formalism is a "measurement" formalism-a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from Bohmian mechanics, which is what emerges from Schr6dinger's equation for a system of particles when we merely insist that "particles" means particles. While… (More)

- Sheldon Goldstein, Richard Holley, Harry Kesten, Thomas M. Liggett, Roberto H. Schonmann, John C. Wierman

- Michael Aizenman, Giovanni Gallavotti, Sheldon Goldstein, Joel L Lebowitz
- 2004

We prove that any stationary state describing an infinite classical system which is "stable" under local perturbations (and possesses some strong time clustering properties) must satisfy the "classical" KMS condition. (This in turn implies, quite generally, that it is a Gibbs state.) Similar results have been proven previously for quantum systems by Haag et… (More)

- D Dürr, S Goldstein, T Moser, N Zangh
- 2005

We prove that the empirical distribution of crossings of a " detector " surface by scattered particles converges in appropriate limits to the scattering cross section computed by stationary scattering theory. Our result, which is based on Bohmian mechanics and the flux-across-surfaces theorem, is the first derivation of the cross section starting from first… (More)

In the last quarter of the nineteenth century, Ludwig Boltzmann explained how irreversible macroscopic laws, in particular the second law of thermodynamics, originate in the time-reversible laws of microscopic physics. Boltzmann's analysis, the essence of which I shall review here, is basically correct. The most famous criticisms of Boltzmann's later work… (More)

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 particle motion, which, in particular, ascribes trajectories to the electrons or whatever sort of particles the quantum field theory is about. Corresponding to the nonconservation of… (More)

- Detlef Dürr, Sheldon Goldstein, Karin Münch-Berndl, Nino Zangh
- 1999

We define a class of Lorentz invariant Bohmian quantum models for N entangled but noninteracting Dirac particles. Lorentz invariance is achieved for these models through the incorporation of an additional dynamical space-time structure provided by a foliation of space-time. These models can be regarded as the extension of Bohm's model for N Dirac particles,… (More)

- Detlef Dürr, Sheldon Goldstein, Roderich Tumulka, Nino Zangh
- 2003

With many Hamiltonians one can naturally associate a |Ψ| 2 distributed Markov process. For nonrelativistic quantum mechanics, it is in fact a deterministic process known as Bohmian mechanics. The analogue for the Hamiltonian of a quantum field theory is typically a jump process on the configuration space of a variable number of particles. We develop here… (More)

- Sheldon Goldstein, Roderich Tumulka, Nino Zangh
- 2009

Bohmian trajectories have been used for various purposes, including the numerical simulation of the time-dependent Schrödinger equation and the visualization of time-dependent wave functions. We review the purpose they were invented for: to serve as the foundation of quantum mechanics, i.e., to explain quantum mechanics in terms of a theory that is free of… (More)

The concept of`measurement' becomes so fuzzy on reeection that it is quite surprising to have it appearing in physical theory at the most fundamental level.. .. D]oes not any analysis of measurement require concepts more fundamental than measurement? And should not the fundamental theory be about these more fundamental concepts? (Bell 1981 1, page 117])