Math @ Duke

Publications [#244025] of Michael C. Reed
Papers Published
 Rauch, J; Reed, M, Two examples illustrating the differences between classical and quantum mechanics,
Communications in Mathematical Physics, vol. 29 no. 2
(1973),
pp. 105111, ISSN 00103616 [doi]
(last updated on 2018/02/21)
Abstract: Two examples are presented: The first shows that a potential V(x) can be in the limit circle case at ∞ even if the classical travel time to ∞ is infinite. The second shows that V(x) can be in the limit point case at ∞ even though the classical travel time to infinity is finite. The first example illustrates the reflection of quantum waves at sharp steps. The second example illustrates the tunnel effect. © 1973 SpringerVerlag.


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