Standard

A new effective mass Hamiltonian and associated Lamé equation : Bound states. / Ganguly, A.; Ioffe, M. V.; Nieto, L. M.

в: Journal of Physics A: Mathematical and General, Том 39, № 47, 010, 24.11.2006, стр. 14659-14680.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Ganguly, A, Ioffe, MV & Nieto, LM 2006, 'A new effective mass Hamiltonian and associated Lamé equation: Bound states', Journal of Physics A: Mathematical and General, Том. 39, № 47, 010, стр. 14659-14680. https://doi.org/10.1088/0305-4470/39/47/010

APA

Ganguly, A., Ioffe, M. V., & Nieto, L. M. (2006). A new effective mass Hamiltonian and associated Lamé equation: Bound states. Journal of Physics A: Mathematical and General, 39(47), 14659-14680. [010]. https://doi.org/10.1088/0305-4470/39/47/010

Vancouver

Ganguly A, Ioffe MV, Nieto LM. A new effective mass Hamiltonian and associated Lamé equation: Bound states. Journal of Physics A: Mathematical and General. 2006 Нояб. 24;39(47):14659-14680. 010. https://doi.org/10.1088/0305-4470/39/47/010

Author

Ganguly, A. ; Ioffe, M. V. ; Nieto, L. M. / A new effective mass Hamiltonian and associated Lamé equation : Bound states. в: Journal of Physics A: Mathematical and General. 2006 ; Том 39, № 47. стр. 14659-14680.

BibTeX

@article{9e8ceafdfd23427fbe62bcb7bf1e7809,
title = "A new effective mass Hamiltonian and associated Lam{\'e} equation: Bound states",
abstract = "A new quantum model with rational functions for the potential and effective mass is proposed in a stretchable region outside which both are constant. Starting from a generalized effective mass kinetic energy operator the matching and boundary conditions for the envelope wavefunctions are derived. It is shown that in a mapping to an auxiliary constant-mass Schr{\"o}dinger picture one obtains one-period 'associated Lam{\'e}' well bounded by two δ-wells or δ-barriers depending on the values of the ordering parameter β. The results for bound states of this new solvable model are provided for a wide variation of the parameters.",
author = "A. Ganguly and Ioffe, {M. V.} and Nieto, {L. M.}",
year = "2006",
month = nov,
day = "24",
doi = "10.1088/0305-4470/39/47/010",
language = "English",
volume = "39",
pages = "14659--14680",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "47",

}

RIS

TY - JOUR

T1 - A new effective mass Hamiltonian and associated Lamé equation

T2 - Bound states

AU - Ganguly, A.

AU - Ioffe, M. V.

AU - Nieto, L. M.

PY - 2006/11/24

Y1 - 2006/11/24

N2 - A new quantum model with rational functions for the potential and effective mass is proposed in a stretchable region outside which both are constant. Starting from a generalized effective mass kinetic energy operator the matching and boundary conditions for the envelope wavefunctions are derived. It is shown that in a mapping to an auxiliary constant-mass Schrödinger picture one obtains one-period 'associated Lamé' well bounded by two δ-wells or δ-barriers depending on the values of the ordering parameter β. The results for bound states of this new solvable model are provided for a wide variation of the parameters.

AB - A new quantum model with rational functions for the potential and effective mass is proposed in a stretchable region outside which both are constant. Starting from a generalized effective mass kinetic energy operator the matching and boundary conditions for the envelope wavefunctions are derived. It is shown that in a mapping to an auxiliary constant-mass Schrödinger picture one obtains one-period 'associated Lamé' well bounded by two δ-wells or δ-barriers depending on the values of the ordering parameter β. The results for bound states of this new solvable model are provided for a wide variation of the parameters.

UR - http://www.scopus.com/inward/record.url?scp=33947196360&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/39/47/010

DO - 10.1088/0305-4470/39/47/010

M3 - Article

AN - SCOPUS:33947196360

VL - 39

SP - 14659

EP - 14680

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 47

M1 - 010

ER -

ID: 97084137