Imprints of the Quantum World in Classical Mechanics

2010/01/31 by Maurice A. de Gosson, B. J. Hiley, Basil J. Hiley +1 · 1 citation
Mathematics · Physics and Astronomy · #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1007/s10701-011-9544-5

Paper submitted to Foundations of Physics

arxiv created 2010/12/15 · openalex publication_date 2011/02/25 · crossref created 2011/02/25 · crossref issued 2011/02/26 · crossref published 2011/02/26 · crossref published-online 2011/02/26 · crossref published-print 2011/09/01 · arxiv updated 2015/05/18 · crossref deposited 2020/06/16 · openalex created_date 2025/10/10 · crossref indexed 2026/04/02 · openalex updated_date 2026/07/29

Abstract

The imprints left by quantum mechanics in classical (Hamiltonian) mechanics are much more numerous than is usually believed. We show Using no physical hypotheses) that the Schroedinger equation for a nonrelativistic system of spinless particles is a classical equation which is equivalent to Hamilton's equations.

Citations

• The Feynman Lectures on Physics
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• On the principles of elementary quantum mechanics
• Techniques and Applications of Path Integration
• The Symplectic Camel and the Uncertainty Principle: The Tip of an Iceberg?

Cited by

• Maurice A. de Gosson [wikipedia]