Some remarks concerning the propagation of a Gaussian wave packet trapped in a Morse potential
✍ Scribed by Robert Heather; Horia Metiu
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 486 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
We compare two methods for the computatron of the time evolution of a Gaussian wave packet Iocated in the well or a Morse potential. We lind that the use of second-order expansion of the potentral around the cenler OK the packer leads IO inaccurale resubs Ior localized wavefunctions. The error appears because Heisenberg principle is nor properly incorporaied in the equation or mouon Tar rhe center or the packer 1 _ Introduction Recently there has been much interest in using Gaussian wave packets (GWP) for solving time-dependent quantum-mecharucal problems [l-20]. This method, developed by Heller and lus co-workers [l-16], has several useful characteristics: it has a