Zeroth WKB Approximation in Quantum Mechanics

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dc.creatorSergeenko, M. N.
dc.date2002-06-25
dc.date.accessioned2026-07-07T06:04:29Z
dc.date.available2026-07-07T06:04:29Z
dc.descriptionSolution of the Schrödinger's equation in the zero order WKB approximation is analyzed. We observe and investigate several remarkable features of the WKB$_0$ method. Solution in the whole region is built with the help of simple connection formulas we derive from basic requirements of continuity and finiteness for the wave function in quantum mechanics. We show that, for conservative quantum systems, not only total energy, but also momentum is the constant of motion. We derive the quantization conditions for two and more turning point problems. Exact energy eigenvalues for solvable and some ``insoluble'' potentials are obtained. The eigenfunctions have the form of a standing wave, $A_n\cos(k_nx+δ_n)$, and are the asymptote of the exact solution.
dc.descriptionLatex, 20 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/0206179
dc.identifierhttp://arxiv.org/abs/quant-ph/0206179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90315
dc.subjectQuantum Physics
dc.titleZeroth WKB Approximation in Quantum Mechanics
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