Abstract
A criterion for the equivalence of time-dependent variational principles in current use in chemistry and physics is demonstrated. Conservation laws are considered and it is shown that under certain conditions quantal conservation laws also hold for the time evolution derived from the variational principle. The formalism is applied to an N-dimensional spherical Gaussian wavepacket. A numerical example for the three-dimensional spherical Gaussian potential well is worked out to illustrate the dynamics and the role of conservation laws.
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