Journal
EUROPEAN JOURNAL OF PHYSICS
Volume 35, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0143-0807/35/2/025001
Keywords
physical education research; quantum mechanics; evolution operator
Funding
- Vicerrectoria de Investigacion y Posgrado, VIEP
- Colectividad para estados coherentes
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This paper explains and illustrates the application of the evolution operator method to solve problems in quantum mechanics. Currently, this method has been proposed as a useful way to overcome some misconceptions in quantum mechanics. To illustrate the method, we apply it to analyze and study the case of a quantum system inside an infinite square well potential (ISWP), and compare this result with that obtained using the traditional method. Also, we analyze the collapse and revival phenomenon in the ISWP. In this case, we argue that the usual approach to studying this effect requires one to extend the function's domain to infinity; however, there has not been any assurance that this extension preserves the self-adjointness of the Hamiltonian operator. The self-adjointness of the Hamiltonian operator is a vital requirement to guarantee the uniqueness of the Schrodinger equation's solution.
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