Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-25T05:43:45.455Z Has data issue: false hasContentIssue false

A note on the relation between scattering phase and bound states

Published online by Cambridge University Press:  24 October 2008

J. C. Polkinghorne
Affiliation:
Tait Institute of Mathematical Physics University of Edinburgh

Abstract

The form of Levinson's relation is obtained for the case where the free Hamiltonian contains discrete eigenstates. The relevance of this to the ambiguous solutions of Low equations and dispersion relations is discussed.

Type
Research Notes
Copyright
Copyright © Cambridge Philosophical Society 1958

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Fairlie, D. B. and Polkinghorne, J. C.Nuovo Cim. (10), 8 (1958), 345 and 555.CrossRefGoogle Scholar
(2)Gasiorowicz, S. and Ruderman, M. A.Phya. Rev. 107 (1957), 868.CrossRefGoogle Scholar
(3)Haaq, R.Nuovo Cim. (10), 5 (1957), 203.Google Scholar
(4)Jauch, J. M.Helv. phys. acta. 30 (1957), 143.Google Scholar
(5)Levinson, N.K. danske Vidensk. Selsk. Mat.-Fys. Medd. 25 (1949), No. 9.Google Scholar