Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0960.81038
Torres-Vega, Go.; Morales-Guzmán, J.D.; Zúñiga-Segundo, A.
Special functions in phase space: Mathieu functions. (English)
[J] J. Phys. A, Math. Gen. 31, No.31, 6725-6739 (1998). ISSN 0305-4470

Summary: The authors introduce functions which are solutions to a coherent-state representation of the Schrödinger equation for the pendulum potential. These functions are interpolation functions between the coordinate and momentum solutions for the quantum pendulum. They also introduce their classical analogues which are stationary solutions to the classical Liouville equation.

MSC 2000:: *81R30 Coherent states in quantum theory
33E10 Spheroidal wave functions, etc.
81S30 Phase space methods in quantum mechanics

Keywords: phase-space functions; Mathieu functions; classical limit; coherent-state representation; Schrödinger equation; pendulum potential; quantum pendulum

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]