An exact lower energy bound for the infinite square well potential

Ogren, M. and Carlsson, M. (2011) An exact lower energy bound for the infinite square well potential. European Journal of Physics, 32 2: L3-L6. doi:10.1088/0143-0807/32/2/L01


Author Ogren, M.
Carlsson, M.
Title An exact lower energy bound for the infinite square well potential
Journal name European Journal of Physics   Check publisher's open access policy
ISSN 0143-0807
1361-6404
Publication date 2011-03
Sub-type Critical review of research, literature review, critical commentary
DOI 10.1088/0143-0807/32/2/L01
Open Access Status Not Open Access
Volume 32
Issue 2
Start page L3
End page L6
Total pages 4
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Abstract 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.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Critical review of research, literature review, critical commentary
Collection: School of Mathematics and Physics
 
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