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physics.class-ph2007★ 3 cited
Transfer matrices for piecewise constant potentials
G. F. Torres del Castillo, I. Rubalcava Garcia
By expressing the time-independent Schrodinger equation in one dimension as a system of two first-order differential equations, the transfer matrix for a rectangular potential barr…
physics.class-ph2006★ 7 cited
Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems
G. F. Torres del Castillo, I. Rubalcava Garcia
It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. The derivation presented here allow us to ob…