152 citations · 292 across the 4 of their papers we have counts for
4 papers
Universal Probability Distribution for the Wave Function of a Quantum System Entangled with Its Environment
Sheldon Goldstein, Joel L. Lebowitz, Christian Mastrodonato +2
A quantum system (with Hilbert space ) entangled with its environment (with Hilbert space ) is usually not attributed a wave function but only a reduc…
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…
Elementary Proof for Asymptotics of Large Haar-Distributed Unitary Matrices
Christian Mastrodonato, Roderich Tumulka
We provide an elementary proof for a theorem due to Petz and Réffy which states that for a random unitary matrix with distribution given by the Haar measure on the unit…