Publications [#244025] of Michael C. Reed

Papers Published

1. Rauch, J; Reed, M, Two examples illustrating the differences between classical and quantum mechanics, Communications in Mathematical Physics, vol. 29 no. 2 (June, 1973), pp. 105-111, Springer Nature, ISSN 0010-3616 [doi]
   (last updated on 2025/05/12)

   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 Springer-Verlag.