Abstract
Feynman's method of quantization is extended to nonlinear systems with nonadditive Hamiltonian that is quadratic in the momenta. The Schrödinger equation for a quasiparticle whose effective mass depends on the coordinates and the time is derived as an example. The equations obtained can be used to study the dynamics of quasiparticles in inhomogeneous solid structures.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 126–129, September, 1977.
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Volkov, R.A. Schrödinger equation for quasiparticles with variable effective mass. Soviet Physics Journal 20, 1224–1226 (1977). https://doi.org/10.1007/BF00897136
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DOI: https://doi.org/10.1007/BF00897136