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- A De Masi, P A Ferrari, S Goldstein, W D Wick
- 1985

We present an invariance principle for antisymmetric functions of a reversible Markov process which immediately implies convergence to Brownian motion for a wide class of random motions in random environments. We apply it to establish convergence to Brownian motion (i) for a walker moving in the infinite cluster of the two-dimensional bond percolation… (More)

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)

- K Berndl, D Dürr, S Goldstein, G Peruzzi, N Zangh
- 1994

We show that the particle motion in Bohmian mechanics, given by the solution of an ordinary differential equation, exists globally: For a large class of potentials the singularities of the velocity field and infinity will not be reached in finite time for typical initial values. A substantial part of the analysis is based on the probabilistic significance… (More)

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 D Urr, S Goldstein
- 1996

In order to arrive at Bohmian mechanics from standard nonrelativistic quantum mechanics one need do almost nothing! One need only complete the usual quantum description in what is really the most obvious way: by simply including the positions of the particles of a quantum system as part of the state description of that system, allowing these positions to… (More)

- P A Ferrari, S Goldstein
- 1988

Let rh be the symmetric nearest neighbor simple exclusion process on 7Z 3 modified to allow the spontaneous creation and destruction of particles at the origin. We study the invariant measures for the system in this non-equilibrium situation, for which a net current of particles flows from the origin. We analyze the n-point correlations of the invariant… (More)

- D. Dürr, S. Goldstein, T. Moser, N. Zanghì
- 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)

- Detlef Dürr, Sheldon Goldstein, Karin Münch-Berndl, Nino Zangh̀ı
- 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 Zangh̀ı
- 2004

In [3] John S. Bell proposed how to associate particle trajectories with a lattice quantum field theory, yielding what can be regarded as a |Ψ| 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… (More)