Minimum uncertainty products via the variational principle

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

May 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phla..129..278l&link_type=abstract

Physics Letters A, Volume 129, Issue 5-6, p. 278-280.

Physics

2

Scientific paper

The problem of finding the class of wave-packets ψ which minimizes the quantum mechanical uncertainty product ΔxΔp is handled 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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