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Bohmian Trajectories as the Foundation of Quantum Mechanics
Sheldon Goldstein, Roderich Tumulka, Nino Zanghi
Bohmian trajectories have been used for various purposes, including the numerical simulation of the time-dependent Schroedinger equation and the visualization of time-dependent wav…
On the Approach to Thermal Equilibrium of Macroscopic Quantum Systems
Sheldon Goldstein, Joel L. Lebowitz, Christian Mastrodonato +2
We consider an isolated, macroscopic quantum system. Let H be a micro-canonical "energy shell," i.e., a subspace of the system's Hilbert space spanned by the (finitely) many energy…
Normal Typicality and von Neumann's Quantum Ergodic Theorem
Sheldon Goldstein, Joel L. Lebowitz, Christian Mastrodonato +2
We discuss the content and significance of John von Neumann's quantum ergodic theorem (QET) of 1929, a strong result arising from the mere mathematical structure of quantum mechani…
What Does the Free Will Theorem Actually Prove?
Sheldon Goldstein, Daniel V. Tausk, Roderich Tumulka +1
Conway and Kochen have presented a "free will theorem" (Notices of the AMS 56, pgs. 226-232 (2009)) which they claim shows that "if indeed we humans have free will, then [so do] el…
Bohmian Mechanics
Detlef Duerr, Sheldon Goldstein, Roderich Tumulka +1
Bohmian mechanics is a theory about point particles moving along trajectories. It has the property that in a world governed by Bohmian mechanics, observers see the same statistics…
Many-Worlds and Schroedinger's First Quantum Theory
Valia Allori, Sheldon Goldstein, Roderich Tumulka +1
Schroedinger's first proposal for the interpretation of quantum mechanics was based on a postulate relating the wave function on configuration space to charge density in physical s…