Classical vs Quantum Mechanics: role of elementary excitations
arXiv:quant-ph/0308040 · doi:10.1016/j.physleta.2004.05.015
Abstract
Simple theorems relating a quantum mechanical system to the corresponding classical one at equilibrium and connecting the quantum eigenvalues to the frequencies of normal modes oscillations are presented. Corresponding to each quantum eigenfunction, a ` classical eigenfunction' is associated. Those belonging to `elementary excitations' play an important role.
LaTeX2e with amsfonts, 9 pages, no figures. Typos corrected. Three references added. Section 3 with summary and comments added
References in corpus (9)
- Supersymmetry and Quantum Mechanics
- Features of Time-independent Wigner Functions
- Calogero-Moser Models V: Supersymmetry and Quantum Lax Pair
- Quantum Calogero-Moser Models: Integrability for all Root Systems
- Quantum vs Classical Integrability in Calogero-Moser Systems
- Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems
- Polynomials Associated with Equilibrium Positions in Calogero-Moser Systems
- Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems
- On frequencies of small oscillations of some dynamical systems associated with root systems