An Anti-WKB Approximation

Details An Anti-WKB Approximation An Anti-WKB Approximation

1995-03-03

arxiv.org/abs/hep-ph/9503225v1

Nucl.Phys. B471 (1996) 309-333

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages

Scientific paper

In the WKB approximation the $\nabla^2S$ term in Schrodinger's equation is subordinate to the |\nabla S|^2 term. Here we study an anti-WKB approximation in which the $\nabla^2 S$ term dominates (after a guess for S is supplied). Our approximation produces only the nodeless ground state wavefunction, but it can be used in potential problems where the potential is not symmetric, and in problems where there are many degrees of freedom. As a test, we apply the method to potential problems, including the hydrogen and helium atoms and to $\phi^4$ field theory.

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