Lower bounds for quartic anharmonic and double-well potentials

B. L. Burrows; M. Cohen; Tova Feldmann

doi:10.1063/1.530375

Lower bounds for quartic anharmonic and double-well potentials

B. L. Burrows^*, M. Cohen, Tova Feldmann

^*Corresponding author for this work

Institute of Chemistry

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

4 Scopus citations

Abstract

Rigorous and remarkably accurate lower bounds to the lower eigenvalue spectrum of the Schrödinger equation with quartic anharmonic and symmetric double-well potentials of the form V(A,B)=Ax²/2+Bx ⁴(B>0) are presented. This procedure exploits some exactly soluble model potentials and appears to be of quite general utility.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Journal of Mathematical Physics
Volume	34
Issue number	1
DOIs	https://doi.org/10.1063/1.530375
State	Published - 1993

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abstract = "Rigorous and remarkably accurate lower bounds to the lower eigenvalue spectrum of the Schr{\"o}dinger equation with quartic anharmonic and symmetric double-well potentials of the form V(A,B)=Ax2/2+Bx 4(B>0) are presented. This procedure exploits some exactly soluble model potentials and appears to be of quite general utility.",

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AB - Rigorous and remarkably accurate lower bounds to the lower eigenvalue spectrum of the Schrödinger equation with quartic anharmonic and symmetric double-well potentials of the form V(A,B)=Ax2/2+Bx 4(B>0) are presented. This procedure exploits some exactly soluble model potentials and appears to be of quite general utility.

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Lower bounds for quartic anharmonic and double-well potentials

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