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Title: On the dynamics of a particle on a hyperboloid

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.
Authors:
;
Publication Date:
OSTI Identifier:
22220777
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 336; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CLASSICAL MECHANICS; EQUATIONS OF MOTION; HILBERT SPACE; MATHEMATICAL SOLUTIONS; QUANTUM MECHANICS