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Two examples illustrating the differences between classical and quantum mechanics

Publication ,  Journal Article
Rauch, J; Reed, M
Published in: Communications in Mathematical Physics
June 1, 1973

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.

Duke Scholars

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

June 1, 1973

Volume

29

Issue

2

Start / End Page

105 / 111

Related Subject Headings

  • Mathematical Physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics
 

Citation

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Rauch, J., & Reed, M. (1973). Two examples illustrating the differences between classical and quantum mechanics. Communications in Mathematical Physics, 29(2), 105–111. https://doi.org/10.1007/BF01645657
Rauch, J., and M. Reed. “Two examples illustrating the differences between classical and quantum mechanics.” Communications in Mathematical Physics 29, no. 2 (June 1, 1973): 105–11. https://doi.org/10.1007/BF01645657.
Rauch J, Reed M. Two examples illustrating the differences between classical and quantum mechanics. Communications in Mathematical Physics. 1973 Jun 1;29(2):105–11.
Rauch, J., and M. Reed. “Two examples illustrating the differences between classical and quantum mechanics.” Communications in Mathematical Physics, vol. 29, no. 2, June 1973, pp. 105–11. Scopus, doi:10.1007/BF01645657.
Rauch J, Reed M. Two examples illustrating the differences between classical and quantum mechanics. Communications in Mathematical Physics. 1973 Jun 1;29(2):105–111.
Journal cover image

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

June 1, 1973

Volume

29

Issue

2

Start / End Page

105 / 111

Related Subject Headings

  • Mathematical Physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics