THE POLES OF THE S-MATRIX OF A RECTANGULAR POTENTIAL WELL OR BARRIER
Technical Report
·
OSTI ID:4244366
To test the validity of current ideas on the poles of the S-matrixs a simple example is treated: nonrelativistic scattering by a spherically symmetric rectangular potential well (or barrier). The poles of the S-function associated with this problems in the case of zero angular momentums are determined, and their behavior as a function of the well depth (barrier height) is discussed. Some results for higher angular momenta are also given, The usual physical interpretation may be applied only to a very restricted class of poles. Difficulties appear in the case of ''short-lived decaying states.'' However, the present model leads to a connection between the limiting cases of strongly bound states in a deep well and of certain characteristic states attached to a ''hard sphere'' or to a perfect conductor( antenna). It is shown that some poles, previously described as ''meaningless,'' give rise to important physical effects. ( auth)
- Research Organization:
- Rio de Janeiro. Centro Brasileiro de Pesquisas Fisicas
- NSA Number:
- NSA-13-014785
- OSTI ID:
- 4244366
- Report Number(s):
- NP-7594
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
Poles of the S matrix for a rectangular complex potential well
REGGE POLES IN THE PROBLEM OF A QUASI-CLASSICAL POTENTIAL WELL
REPRESENTATIONS FOR THE S MATRIX IN TERMS OF ITS ANGULAR MOMENTUM POLES
Technical Report
·
Sun Dec 30 23:00:00 EST 1973
·
OSTI ID:4933336
REGGE POLES IN THE PROBLEM OF A QUASI-CLASSICAL POTENTIAL WELL
Journal Article
·
Sat Jun 01 00:00:00 EDT 1963
· Zh. Eksperim. i Teor. Fiz.
·
OSTI ID:4688868
REPRESENTATIONS FOR THE S MATRIX IN TERMS OF ITS ANGULAR MOMENTUM POLES
Journal Article
·
Thu Jan 31 23:00:00 EST 1963
· Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D
·
OSTI ID:4763516