Minimum uncertainty products via the variational principle

Details Minimum uncertainty products via the variational principle Minimum uncertainty products via the variational principle

Nov 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrva..38.5412l&link_type=abstract

Physical Review A (General Physics), Volume 38, Issue 10, November 15, 1988, pp.5412-5414

Physics

General Physics

3

Solutions Of Wave Equations: Bound States, Functional Analytical Methods

Scientific paper

The problem of finding the class of wave packets ψ that minimizes the quantum-mechanical uncertainty product ΔxΔp is treated via the constrained variational principle. This leads to a harmonic-oscillator-type wave equation for ψ whose explicit solutions are obtained when the potential V has, or does not have, an infinite step. The method can be fruitfully applied to the quantum cosmology of the inflationary universe.

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