Home Page of Sheldon Goldstein

Et ignem regunt numeri

(Plato quoted by Fourier)

Address
Department of Mathematics - Hill Center
Rutgers, The State University of New Jersey
110 Frelinghuysen Road
Piscataway, NJ 08854-8019
USA

Phone
Office: 732-445-2268
Home: 732-572-1834

Mathematics Department Fax
732-445-5530

Office
Room 344, Hill Center, Busch Campus

Research

Mathematical Physics
Foundations of Quantum Mechanics
Bohmian Mechanics
Collaboration Bohmian Mechanics
Bohmian Mechanics Workgroup Munich
Chris Dewdney's de Broglie - Bohm website
Bohmian Mechanics at Innsbruck
Second School on the Foundations of Physical Theories, Urbino, July 2004
Music and Literature

in collaboration with

Detlef Dürr, Nino Zanghì
Karin Berndl, Martin Daumer
Doug Hemmick
Stefan Teufel, Roderich Tumulka
Valia Allori, James Taylor, Alexander Zarechnak

Preprints and Recent Publications

On the Weak Measurement of Velocity in Bohmian Mechanics, with D. Dürr and N. Zanghì, submitted, 0808.3324 [quant-ph]
Paradoxical Reflection in Quantum Mechanics, with P. Garrido, J. Lukkarinen, and R. Tumulka, submitted, 0808.0610 [quant-ph]
Bohmian Mechanics and Quantum Information, Foundations of Physics, to appear
On the Uniqueness of Quantum Equilibrium in Bohmian Mechanics, with W. Struyve, Journal of Statistical Physics 128, 1197-1209 (2007), 0704.3070 [quant-ph]
On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory, with V. Allori, R. Tumulka, and N. Zanghì, British Journal for the Philosophy of Science 59, 353-389, doi:10.1093/bjps/axn012 (2008), quant-ph/0603027
Quantum Mechanics in Multiply-Connected Spaces, with D. Dürr, J. Taylor, R. Tumulka, and N. Zanghì, J. Phys. A: Math. Theor. 40, 2997-3031 (2007), quant-ph/0506173
The Message of the Quantum?, with M. Daumer, D. Dürr, T. Maudlin, R. Tumulka, and N. Zanghì, in Quantum Mechanics: Are there Quantum Jumps? and On the Present Status of Quantum Mechanics, edited by A. Bassi, D. Dürr, T. Weber and N. Zanghì, AIP Conference Proceedings 844, 129-132 (American Institute of Physics, 2006), quant-ph/0604173
Topological Factors Derived From Bohmian Mechanics, with D. Dürr, J. Taylor, R. Tumulka, and N. Zanghì, Annales de l'Institut Henri Poincaré (A) Physique Théorique 7, 791-807 (2006), quant-ph/0601076
Canonical Typicality, with J. L. Lebowitz, R. Tumulka, and N. Zanghì, Phys. Rev. Lett. 96, 050403 (2006), cond-mat/0511091
A Microscopic Derivation of the Quantum Mechanical Formal Scattering Cross Section, with D. Dürr, T. Moser, and N. Zanghì, Commun. Math. Phys. 266, 665-697 (2006)
John Bell and Bell's Theorem, with D. Dürr, R. Tumulka, and N. Zanghì, in the Encyclopedia of Philosophy, Second Edition, edited by D. M. Borchert (Macmillan Reference, 2006)
Bohmian Mechanics, with D. Dürr, R. Tumulka, and N. Zanghì, in the Encyclopedia of Philosophy, Second Edition, edited by D. M. Borchert (Macmillan Reference, 2006)
David Bohm, with D. Dürr, R. Tumulka, and N. Zanghì, in the Encyclopedia of Philosophy, Second Edition, edited by D. M. Borchert (Macmillan Reference, 2006)
On the Distribution of the Wave Function for Systems in Thermal Equilibrium, with J. L. Lebowitz, R. Tumulka, and N. Zanghì, Journal of Statistical Physics 125, 1197-1225 (2006), quant-ph/0309021
Large Deviations for a Point Process of Bounded Variability, with J. L. Lebowitz, and E. R. Speer, Markov Processes and Related Fields 12, 235-256 (2006)
Are All Particles Identical?, with J. Taylor, R. Tumulka, and N. Zanghì, J. Phys. A: Math. Gen. 38, 1567-1576 (2005), quant-ph/0405039
Are All Particles Real?, with J. Taylor, R. Tumulka, and N. Zanghì, Studies in History and Philosophy of Science, Part B: Studies in History and Philosophy of Modern Physics 36, 103-112 (2005), quant-ph/0404134
Bell-Type Quantum Field Theories, with D. Dürr, R. Tumulka, and N. Zanghì, J. Phys. A: Math. Gen. 38, R1-R43 (2005), quant-ph/0407116
On the Role of Density Matrices in Bohmian Mechanics, with D. Dürr, R. Tumulka, and N. Zanghì, Foundations of Physics 35, 449-467 (2005), quant-ph/0311127
Quantum Hamiltonians and Stochastic Jumps, with D. Dürr, R. Tumulka, and N. Zanghì, Comm. Math. Phys. 254, 129-166 (2005), quant-ph/0303056
Bohmian Mechanics and Quantum Field Theory, with D. Dürr, R. Tumulka, and N. Zanghì, Phys. Rev. Lett. 93, 090402 (2004), quant-ph/0303156
Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory, with D. Dürr and N. Zanghì, Journal of Statistical Physics 116, 959-1055 (2004), quant-ph/0308038
The Boltzmann Entropy for Dense Fluids Not in Local Equilibrium, with P. Garrido and J. L. Lebowitz, Phys. Rev. Lett. 92, 050602 (2004), cond-mat/0310575
On the (Boltzmann) Entropy of Nonequilibrium Systems, with J. L. Lebowitz, Physica D 193, 53-66 (2004), cond-mat/0304251
Trajectories and Particle Creation and Annihilation in Quantum Field Theory, with D. Dürr, R. Tumulka, and N. Zanghì, J. Phys. A: Math. Gen. 36, 4143-4149 (2003), quant-ph/0208072
Seven Steps Towards the Classical World, with V. Allori, D. Dürr, and N. Zanghì, Journal of Optics B 4, 482-488 (2002), quant-ph/0112005
Bohmian Mechanics, in the Stanford Encyclopedia of Philosophy (October 2001)
Opposite Arrows of Time Can Reconcile Relativity and Nonlocality, with Roderich Tumulka, Classical and Quantum Gravity 20, 557-564 (2003), quant-ph/0105040. Click here for pdf.
Bounded Fluctuations and Translation Symmetry Breaking in One-Dimensional Particle Systems, with M. Aizenman and J. L. Lebowitz, Journal of Statistical Physics 103, 601-618 (2001), math-ph/0007022
Boltzmann's Approach to Statistical Mechanics, in Chance in Physics: Foundations and Perspectives, edited by Jean Bricmont, Detlef Dürr, Maria C. Galavotti, Giancarlo Ghirardi, Francesco Petruccione, and Nino Zanghi, Lecture Notes in Physics 574 (Springer-Verlag, 2001), cond-mat/0105242. Click here for pdf.
Scattering theory from microscopic first principles, with D. Dürr, S. Teufel, and N. Zanghì, Physica A 279, 416-431 (2000)
Hypersurface Bohm-Dirac Models, with D. Dürr, K. Münch-Berndl, and N. Zanghì, Phys. Rev. A 60, 2729-2736 (1999), quant-ph/9801070
Revised Proof for the Uniqueness Theorem for ``No Collapse'' Interpretations of Quantum Mechanics, with J. Bub and R. Clifton, Studies in the History and Philosophy of Modern Physics 31, 95-98 (2000), quant-ph/9910097
Quantum Spacetime without Observers: Ontological Clarity and the Conceptual Foundations of Quantum Gravity, with S. Teufel, in Physics meets Philosophy at the Planck Scale, edited by C. Callender and N. Huggett, 275-289 (Cambridge University Press, 2001), quant-ph/9902018
Absence of Chaos in Bohmian Dynamics, Phys. Rev. E 60, 7578-7579 (1999), quant-ph/9901005
An exchange of letters in PHYSICS TODAY on Quantum Theory Without Observers (postscript). Click here for html. PHYSICS TODAY, February 1999, 11
Quantum Theory Without Observers (postscript). Click here for html. Part One: PHYSICS TODAY, March 1998, 42-46. Part Two: PHYSICS TODAY, April 1998, 38-42
A Theorist Ignored: Review of "Infinite Potential. The Life and Times of David Bohm" by F. David Peat, Science 275, 1893-1894 (1997)
Locality and Causality in Hidden Variables Models of Quantum Theory, with S. Teufel, K. Berndl, D. Dürr, and N. Zanghì, Phys. Rev. A 56, 1217-1227 (1997), quant-ph/9609005
On the quantum probability flux through surfaces, with M. Daumer, D. Dürr, and N. Zanghì, Journal of Statistical Physics 88, 967-977 (1997), quant-ph/9512016
Bohmian Mechanics and the Meaning of the Wave Function, with D. Dürr and N. Zanghì, contribution to Experimental Metaphysics---Quantum Mechanical Studies for Abner Shimony, Volume One, edited by R.S.Cohen, M. Horne, and J. Stachel, Boston Studies in the Philosophy of Science 193, 25-38 (Kluwer, 1997), quant-ph/9512031. Click here for pdf.
Naive Realism about Operators, with M. Daumer, D. Dürr and N. Zanghì, Erkenntnis 45, 379-397 (1996), quant-ph/9601013. Click here for pdf.
Quantum Philosophy: The Flight from Reason in Science, contribution to The Flight from Science and Reason, edited by P. Gross, N. Levitt, and M.W.Lewis, Annals of the New York Academy of Sciences 775, 119-125 (1996), quant-ph/9601007. Click here for pdf.
Bohmian Mechanics as the Foundation of Quantum Mechanics, with D. Dürr and N. Zanghì, contribution to Bohmian Mechanics and Quantum Theory: An Appraisal, edited by J.T. Cushing, A. Fine, and S. Goldstein, Boston Studies in the Philosophy of Science 184, 21-44 (Kluwer, 1996), quant-ph/9511016 (pdf)
Bohmian Mechanics and the Quantum Revolution, Synthese 107, 145-165 (1996). Click here for pdf.
On the Flux-Across-Surfaces Theorem, with M. Daumer, D. Dürr, and N. Zanghì, Letters in Mathematical Physics 38, 103-116 (1996), quant-ph/9511011, mp-arc/95-475, Preprint gk-mp-9511/23
Nonlocality, Lorentz Invariance, and Bohmian Quantum Theory, with K. Berndl, D. Dürr, and N. Zanghì, Phys. Rev. A 53, 2062-2073 (1996), quant-ph/9510027
Quantum Physics without Quantum Philosophy, with D. Dürr and N. Zanghì, Studies in History and Philosophy of Physics 26, 137-149 (1995)
Does the Wave Function Provide a Complete Description of Physical Reality?, with J.L.Lebowitz, in The Physical Review---The First Hundred Years: A Selection of Seminal Papers and Commentaries, edited by H. Henry Stroke (AIP Press, 1995)
Bohmian Mechanics and Quantum Equilibrium, with D. Dürr and N. Zanghì, in Stochastic Processes, Physics and Geometry II, edited by S. Albeverio, U. Cattaneo, D. Merlini (World Scientific, Singapore, 1995) pp. 221-232
On the Global Existence of Bohmian Mechanics, with K. Berndl, D. Dürr, G. Peruzzi, and N. Zanghì, Comm. Math. Phys. 173 , 647-673 (1995), quant-ph/9503013
Linearly Positive Histories: Probabilities for a Robust Family of Sequences of Quantum Events, with D. Page, Phys. Rev. Lett. 74, 3715-3719 (1995), gr-qc/9403055
A Survey of Bohmian Mechanics, with K. Berndl, M. Daumer, D. Dürr, and N. Zanghì, Il Nuovo Cimento 110B, 737-750(1995), quant-ph/9504010
Nonlocality without Inequalities for Almost All Entangled States for Two Particles, Phys. Rev. Lett. 72, 1951 (1994)
Comment on ``Quantum Mechanics, Local Realistic Theories, and Lorentz-Invariant Realistic Theories'' , with K. Berndl, Phys. Rev. Lett. 72 , 780 (1994)
Self-adjointness and the Existence of Deterministic Trajectories in Quantum Theory, with K. Berndl, D. Dürr, and N. Zanghì, in On Three Levels: The Micro-, Meso-, and Macroscopic Approaches in Physics, edited by M. Fannes, C. Maes, and A. Verbeure, NATO ASI Series B: Physics, Volume 324 (Plenum, New York, 1994) pp. 429-434
Scattering and the Role of Operators in Bohmian Mechanics, with M. Daumer, D. Dürr, and N. Zanghì, in On Three Levels: The Micro-, Meso-, and Macroscopic Approaches in Physics, edited by M. Fannes, C. Maes, and A. Verbeure, NATO ASI Series B: Physics, Volume 324 (Plenum, New York, 1994) pp. 331-338
Quantum Mysteries: Review of "The Quantum Theory of Motion. An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics" by Peter R. Holland, Science 263, 254-255 (1994). Click here for html.
Review of "The Undivided Universe: An Ontological Interpretation of Quantum Theory" by David Bohm and Basil J. Hiley, PHYSICS TODAY, September 1994, 90
Comment on "Surrealistic Bohm Trajectories" , with D. Dürr, W. Fusseder, and N. Zanghì, Z.Naturforsch. 48a, 1261-1262 (1993)
Existence of Trajectories for Bohmian Mechanics, with K. Berndl, D. Dürr, G. Peruzzi, and N. Zanghì, International Journal of Theoretical Physics 32, 2245-2251 (1993)
Observables, Measurements and Phase-Operators from a Bohmian Perspective, with M. Daumer, in Squeezed States and the Uncertainty Principle, edited by D. Han, Y.S. Kim, and V.I. Man`ko, NASA Conference Publications 3219 (1993) pp. 231-238
A Global Equilibrium as the Foundation of Quantum Randomness, with D. Dürr, N. Zanghì, Foundations of Physics 23, 721-738 (1993)
Quantum Mechanics, Randomness, and Deterministic Reality, with D. Dürr and N. Zanghì, Physics Letters A 172, 6-12 (1992)
Quantum Chaos, Classical Randomness, and Bohmian Mechanics, with D. Dürr and N. Zanghì, Journal of Statistical Physics 68, 259-270 (1992)
Quantum Equilibrium and the Origin of Absolute Uncertainty, with D. Dürr and N. Zanghì, Journal of Statistical Physics 67, 843-907 (1992), quant-ph/0308039. Click here for pdf.