Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule

Shi Hai Dong; A. Gonzalez-Cisneros

doi:10.1016/j.aop.2007.12.002

Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule

Shi Hai Dong, A. Gonzalez-Cisneros

Research output: Contribution to journal › Article › peer-review

82 Scopus citations

Abstract

A new exact quantization rule simplifies the calculation of the energy levels for the exactly solvable quantum system. In this work we calculate the energy levels of the Schrödinger equation with the hyperbolic potential by this quantization rule. The corresponding eigenfunction is also derived for completeness. The second Pöschl-Teller like potential case is also carried out.

Original language	English
Pages (from-to)	1136-1149
Number of pages	14
Journal	Annals of Physics
Volume	323
Issue number	5
DOIs	https://doi.org/10.1016/j.aop.2007.12.002
State	Published - May 2008

Keywords

Bound states
Hyperbolic potential
New exact quantization rule
Second Pöschl-Teller like potential

Access to Document

10.1016/j.aop.2007.12.002

Cite this

@article{c7dcf4b0e09f4e94a6069f429f9cff2f,

title = "Energy spectra of the hyperbolic and second P{\"o}schl-Teller like potentials solved by new exact quantization rule",

abstract = "A new exact quantization rule simplifies the calculation of the energy levels for the exactly solvable quantum system. In this work we calculate the energy levels of the Schr{\"o}dinger equation with the hyperbolic potential by this quantization rule. The corresponding eigenfunction is also derived for completeness. The second P{\"o}schl-Teller like potential case is also carried out.",

keywords = "Bound states, Hyperbolic potential, New exact quantization rule, Second P{\"o}schl-Teller like potential",

author = "Dong, {Shi Hai} and A. Gonzalez-Cisneros",

note = "Funding Information: We thank the kind referee for the invaluable and positive suggestions. In particular, this work is in memory of Prof. Xu, who is one of authors proposing this new quantization rule, passed away a few months ago. This work was partially supported by COFAA, IPN, Projects 20062088-SIP-IPN and 20070914-SIP-IPN, Mexico. ",

year = "2008",

month = may,

doi = "10.1016/j.aop.2007.12.002",

language = "Ingl{\'e}s",

volume = "323",

pages = "1136--1149",

journal = "Annals of Physics",

issn = "0003-4916",

number = "5",

}

TY - JOUR

T1 - Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule

AU - Dong, Shi Hai

AU - Gonzalez-Cisneros, A.

N1 - Funding Information: We thank the kind referee for the invaluable and positive suggestions. In particular, this work is in memory of Prof. Xu, who is one of authors proposing this new quantization rule, passed away a few months ago. This work was partially supported by COFAA, IPN, Projects 20062088-SIP-IPN and 20070914-SIP-IPN, Mexico.

PY - 2008/5

Y1 - 2008/5

N2 - A new exact quantization rule simplifies the calculation of the energy levels for the exactly solvable quantum system. In this work we calculate the energy levels of the Schrödinger equation with the hyperbolic potential by this quantization rule. The corresponding eigenfunction is also derived for completeness. The second Pöschl-Teller like potential case is also carried out.

AB - A new exact quantization rule simplifies the calculation of the energy levels for the exactly solvable quantum system. In this work we calculate the energy levels of the Schrödinger equation with the hyperbolic potential by this quantization rule. The corresponding eigenfunction is also derived for completeness. The second Pöschl-Teller like potential case is also carried out.

KW - Bound states

KW - Hyperbolic potential

KW - New exact quantization rule

KW - Second Pöschl-Teller like potential

UR - http://www.scopus.com/inward/record.url?scp=41949099946&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2007.12.002

DO - 10.1016/j.aop.2007.12.002

M3 - Artículo

SN - 0003-4916

VL - 323

SP - 1136

EP - 1149

JO - Annals of Physics

JF - Annals of Physics

IS - 5

ER -

Energy spectra of the hyperbolic and second Pöschl-Teller like potentials solved by new exact quantization rule

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this