Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 86 - 96

Lower Bounds for the Spinless Salpeter Equation

Authors
Fabian Brau
Corresponding Author
Fabian Brau
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.8How to use a DOI?
Abstract

We obtain lower bounds on the ground state energy, in one and three dimensions, for the spinless Salpeter equation (Schrödinger equation with a relativistic kinetic energy operator) applicable to potentials for which the attractive parts are in Lp (Rn ) for some p > n (n = 1 or 3). An extension to confining potentials, which are not in Lp (Rn ), is also presented.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
86 - 96
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.8How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Fabian Brau
PY  - 2005
DA  - 2005/01/01
TI  - Lower Bounds for the Spinless Salpeter Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 86
EP  - 96
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.8
DO  - 10.2991/jnmp.2005.12.s1.8
ID  - Brau2005
ER  -