## 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

APA

Chicago

ICMJE

MLA

NLM

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/BF01645657Rauch, 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.

## 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