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An exact lower energy bound for the infinite square well potential
ARC Centre of Excellence for Quantum-Atom Optics, School of Mathematics and Physics, University of Queensland, Brisbane, Australia.ORCID iD: 0000-0002-2630-7479
Mathematics Department, Purdue University, West Lafayette IN, United States.
2011 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 32, no 2, p. L3-L6Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2011. Vol. 32, no 2, p. L3-L6
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URN: urn:nbn:se:oru:diva-65561DOI: 10.1088/0143-0807/32/2/L01ISI: 000287475700033Scopus ID: 2-s2.0-79951922159OAI: oai:DiVA.org:oru-65561DiVA, id: diva2:1188577
Available from: 2018-03-07 Created: 2018-03-07 Last updated: 2018-03-08Bibliographically approved

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Ögren, Magnus

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