Mathematical analysis of the dimensional scaling technique for the Schrodinger equation with power-law potentials Academic Article

abstract

• The dimensional scaling (D-scaling) technique is an innovative asymptotic expansion approach to study the multiparticle systems in molecular quantum mechanics. It enables the calculation of ground and excited state energies of quantum systems without having to solve the Schrdinger equation. In this paper, we present a mathematical analysis of the D-scaling technique for the Schrdinger equation with power-law potentials. By casting the D-scaling technique in an appropriate variational setting and studying the corresponding minimization problem, the D-scaling technique is justified rigorously. A new asymptotic dimensional expansion scheme is introduced to compute asymptotic expansions for ground state energies. 2010 American Institute of Physics.

authors

• Chen, Goong

published proceedings

• JOURNAL OF MATHEMATICAL PHYSICS

author list (cited authors)

• Ding, Z., Chen, G., & Lin, C.

citation count

• 6

complete list of authors

• Ding, Zhonghai||Chen, Goong||Lin, Chang-Shou

publication date

• December 2010

publisher

• AIP Publishing  Publisher

published in

• Journal of Mathematical Physics  Journal

keywords

• 51 Physical Sciences
• 5102 Atomic, Molecular And Optical Physics

Digital Object Identifier (DOI)

• 10.1063/1.3520359

start page

• 123508

end page

• 123508

volume

• 51

issue

• 12

URL

• http://dx.doi.org/10.1063/1.3520359