Stationary and quasi-stationary electron spectrum in quantum wire and quantum anti-dot with impurity

Tkach, N. V.; Holovatsky, V.; Maкhanets, О. М.; Dovganiuk, M.

doi:10.30970/jps.13.4706

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2012

2021

Publication Types

Select...

Other1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to calculate the bound-state spectrum of the Schrödinger equation with a position-dependent mass (PDM), various iterative [9,10], variational [11,12] and perturbative [13] schemes were proposed. Usually, these schemes provide solutions in numerical form.…”

Section: Introductionmentioning

confidence: 99%

$\hbar$-expansion for the Schrödinger equation with a position-dependent mass

Kulikov,

Shapoval

2012

Preprint

View full text Add to dashboard Cite

A recursion technique of obtaining the asymptotical expansions for the bound-state energy eigenvalues of the radial Schrödinger equation with a position-dependent mass is presented. As an example of the application we calculate the energy eigenvalues for the Coulomb potential in the presence of position-dependent mass and we derive the inequalities regulating the shifts of the energy levels from their constant-mass positions.

show abstract