TY - JOUR
T1 - The infinite well and Dirac delta function potentials as pedagogical, mathematical and physical models in quantum mechanics
AU - Belloni, M.
AU - Robinett, Richard Wallace
PY - 2014/7/10
Y1 - 2014/7/10
N2 - The infinite square well and the attractive Dirac delta function potentials are arguably two of the most widely used models of one-dimensional bound-state systems in quantum mechanics. These models frequently appear in the research literature and are staples in the teaching of quantum theory on all levels. We review the history, mathematical properties, and visualization of these models, their many variations, and their applications to physical systems.
AB - The infinite square well and the attractive Dirac delta function potentials are arguably two of the most widely used models of one-dimensional bound-state systems in quantum mechanics. These models frequently appear in the research literature and are staples in the teaching of quantum theory on all levels. We review the history, mathematical properties, and visualization of these models, their many variations, and their applications to physical systems.
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U2 - 10.1016/j.physrep.2014.02.005
DO - 10.1016/j.physrep.2014.02.005
M3 - Review article
AN - SCOPUS:84901496051
VL - 540
SP - 25
EP - 122
JO - Physics Reports
JF - Physics Reports
SN - 0370-1573
IS - 2
ER -