HAMILTON-JACOBI DYNAMICS FOR THE SOLUTION OF TIME-DEPENDENT QUANTUM PROBLEMS .1. FORMALISM AND WAVE-PACKET PROPAGATION IN ONE-DIMENSION

1994-04-01
YURTSEVER, E
BRICKMANN, J
Two methods for the numerical integration of the time-dependent Schrodinger equation with given initial conditions (initial wave packet) are presented. The first method (method A) is based on the Schrodinger representation of the quantum-dynamical system while the second one (method B) is based upon the intermediate representation. In both cases the quantum dynamical equation is transformed into a system of Hamilton-Jacobi type equations of motion as occurring in multi particle classical dynamics, i.e. standard molecular dynamics techniques can be applied for the integration. The dynamics of a minimum uncertainty Gaussian wave packet in a strongly anharmonic oscillator is taken as an example.
BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS

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Citation Formats
E. YURTSEVER and J. BRICKMANN, “HAMILTON-JACOBI DYNAMICS FOR THE SOLUTION OF TIME-DEPENDENT QUANTUM PROBLEMS .1. FORMALISM AND WAVE-PACKET PROPAGATION IN ONE-DIMENSION,” BERICHTE DER BUNSEN-GESELLSCHAFT-PHYSICAL CHEMISTRY CHEMICAL PHYSICS, pp. 554–559, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65929.