ERIC Number: EJ851823
Record Type: Journal
Publication Date: 2009-Sep
Abstractor: As Provided
Reference Count: 31
Renormalizing the Kinetic Energy Operator in Elementary Quantum Mechanics
Coutinho, F. A. B.; Amaku, M.
European Journal of Physics, v30 n5 p1015-1023 Sep 2009
In this paper, we consider solutions to the three-dimensional Schrodinger equation of the form [psi](r) = u(r)/r, where u(0) [is not equal to] 0. The expectation value of the kinetic energy operator for such wavefunctions diverges. We show that it is possible to introduce a potential energy with an expectation value that also diverges, exactly cancelling the kinetic energy divergence. This renormalization procedure produces a self-adjoint Hamiltonian. We solve some problems with this new Hamiltonian to illustrate its usefulness.
Descriptors: Quantum Mechanics, Kinetics, Physics, Science Instruction, Equations (Mathematics), Energy, Scientific Principles, College Science, Problem Solving
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Authoring Institution: N/A