Symbolic Calculations of Unitary Transformations in Quantum Dynamics -- from Wolfram Library Archive

Title

Symbolic Calculations of Unitary Transformations in Quantum Dynamics

Authors

N. Nguyen

T. Nguyen-Dang

Journal / Anthology

Computer Physics Communications

Year:

1998

Volume:

115

Page range:

183-199

Description

The present paper deals with the development of a Mathematica package of programs for handling quantum mechanical equations involving commutators and unitary transformations. One program implements general commutators handling rules. Another evaluates a series of nested commutators representing a general unitary transformations. We apply these new symbolic routines to test-transformations, ranging from simple translations in both spatial and momentum spaces to transformations involving nonlinear generators and denoting non-inertial changes of reference frames in the phase space. We illustrate with a simple example how these tools can be used to solve formally a molecular dynamical problem.

Subject

Science > Physics > Quantum Physics

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