On the dynamics of a particle on a hyperboloid

Journal Article · Sun Sep 15 04:00:00 EDT 2013 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2013.05.003· OSTI ID:22220777

Rembieliński, J.

A free particle moving on a one-sheeted hyperboloid is discussed both at the classical and quantum levels. -- Highlights: •We study the classical and quantum free particle on a one-sheeted hyperboloid. •We solve the solutions of classical equations of motion. •We identify the Hilbert space and observables for a particle on a hyperboloid. •We find the stationary solution of the Schrödinger equation.

• OSTI ID: 22220777
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Vol. 336; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
EQUATIONS OF MOTION
HILBERT SPACE
MATHEMATICAL SOLUTIONS
QUANTUM MECHANICS