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Springer eBooks

Comparison of Wigner’s Function and de Broglian Probability Density for a Wave Packet and the Wave Packets Superposition

Mirjana Božić, D. Arsenović

Published Jan 1, 1999• 1 citation
Publisher
DOI
10.1007/978-94-017-1454-9_19

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Abstract We investigate the scattering of a wave packet by the Pöschl-Teller potential in momentum representation. The scattering dynamics of the wave packet for a long-time evolution is feasible in this representation. With the wave function in momentum space, we can construct the time-dependent phase space Wigner function. The corresponding density function in coordinate space is then calculated through the Wigner function. The reflectionless wave packet for integer ν and partially reflected for non-integer ν are demonstrated by analyzing the Wigner function.