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quant-ph2002
Quantization of the classical action and eigenvalue problem
M. N. Sergeenko
The eigenvalue problem in quantum mechanics is reduced to quantization of the classical action of the physical system. State function of the system, , is written in the for…
quant-ph2002★ 2 cited
Zeroth WKB Approximation in Quantum Mechanics
M. N. Sergeenko
Solution of the Schrödinger's equation in the zero order WKB approximation is analyzed. We observe and investigate several remarkable features of the WKB method. Solution in th…
quant-ph1999
Semiclassical Approximation for Periodic Potentials
U. P. Sukhatme, M. N. Sergeenko
We derive the semiclassical WKB quantization condition for obtaining the energy band edges of periodic potentials. The derivation is based on an approach which is much simpler than…