Quantum Mechanical Motions over the Group Manifolds and Related Potentials

I. H. Duru
Additional contact information
I. H. Duru: Trakya University, Department of Mathematics

A chapter in Symmetries in Science VIII, 1995, pp 91-100 from Springer

Abstract: Abstract Schrödinger equations for many potentials are solved in terms of the special functions. Almost all of these special functions are the matrix elements of the representations of the Lie groups, with their arguments being the group parameters [1,2]. Even the simplest “special functions” namely the elementary transcendentals are related to the Lie groups, i.e., the one parameter Abelian Lie groups. The connection between the group representations and the special functions explains the mystrious properties of them, such as the recurance relations and addition theorems.

Keywords: Green Function; Pair Production; Path Integral; SchrOdinger Equation; External Electromagnetic Field (search for similar items in EconPapers)
Date: 1995
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1915-7_9

Ordering information: This item can be ordered from
http://www.springer.com/9781461519157

DOI: 10.1007/978-1-4615-1915-7_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().