Bounds for Hamiltonians with arbitrary kinetic parts

[en] A method is presented to compute approximate solutions for eigenequations in quantum mechanics with an arbitrary kinetic part. In some cases, the approximate eigenvalues can be analytically determined and they can be lower or upper bounds. A semiclassical interpretation of the generic formula obtained for the eigenvalues supports a new definition of the effective particle mass used in solid state physics. An analytical toy model with a Gaussian dependence in the momentum is studied in order to check the validity of the method.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Semay, Claude ; Université de Mons > Faculté des Sciences > Physique nucléaire et subnucléaire

Language :

English

Title :

Bounds for Hamiltonians with arbitrary kinetic parts

Publication date :

12 September 2012

Journal title :

Results in Physics

Volume :

Pages :

114-117

Peer reviewed :

Peer reviewed

Research unit :

S824 - Physique nucléaire et subnucléaire

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Available on ORBi UMONS :

since 28 September 2012

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