Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume 25, Issue 2-3, Pages 647-658Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X10048937
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A simple approximate solution for the quantum-mechanical quartic oscillator V = m(2)x(2) vertical bar gx(4) in the double-well regime m(2) < 0 at arbitrary g = 0 is presented. It is based on a combining of perturbation theory near true minima of the potential, semi-classical approximation at large distances and a description of tunneling under the barrier. It provides 9-10 significant digits in energies and gives for wavefunctions the relative deviation in real x-space less than less than or similar to 10(-3).
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