Exactly solvable position-dependent mass Hamiltonians related to non-compact semi-simple Lie groups

Küçük Resim Yok

Tarih

2009

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Iop Publishing Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We suggest a generalized procedure to obtain exactly solvable position-dependent mass Hamiltonians in one dimension. The second-order Casimir invariant of the regular representation of a non-compact semi-simple Lie group G, the spectral properties of which are well known, is used to introduce exactly solvable Hamiltonians. A brief description of the procedure is presented and its application to quantum systems associated with SL(2, R) is detailed.

Açıklama

Anahtar Kelimeler

Algebraic Approach, Schrodinger-Equation, Electrons

Kaynak

Journal Of Physics A-Mathematical And Theoretical

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

Cilt

42

Sayı

44

Künye