Volume 115, Number 6, September 2016
|Number of page(s)||4|
|Published online||20 October 2016|
Critique and correction of the currently accepted solution of the infinite spherical well in quantum mechanics
1 Department of Physics, Soochow University - Shih-Lin, Taipei 111, Taiwan
2 Thomann Consulting - Rollenbergstrasse 2, CH-8463 Benken ZH, Switzerland
Received: 7 July 2016
Accepted: 27 September 2016
An error in the currently accepted solution of the problem of the infinite spherical well is pointed out. The problem is then solved by considering the self-adjointness of the Hamiltonian operator. In contrast to the currently accepted solution, the radial probability density for finding the particle at the center of the spherical well is not necessarily zero, in accordance with the solutions obtained.
PACS: 03.65.-w – Quantum mechanics / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EPLA, 2016
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