An exact lower energy bound for the infinite square well potential

Publication: Research - peer-reviewJournal article – Annual report year: 2011

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We give a lower bound for the energy of a quantum particle in the infinite square well. We show that the bound is exact and identify the well-known element that fulfils the equality. Our approach is not directly dependent on the Schrödinger equation and illustrates an example where the wavefunction is obtained directly by energy minimization. The derivation presented can serve as an example of a variational method in an undergraduate level university course in quantum mechanics.
Original languageEnglish
JournalEuropean Journal of Physics
Publication date2011
Volume32
Issue2
PagesL3-L6
ISSN0143-0807
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 1
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