We give classes and examples of potentials which give a classical deflection function equal to zero (mod 2nπ) for any value of the impact parameter at a fixed energy. Thus these potentials are completely transparent for a classical collision at this energy.

1.
U.
Buck
,
Rev. Mod. Phys.
46
,
369
89
(
1974
).
2.
P. C.
Sabatier
,
J. Math. Phys.
13
,
675
99
(
1972
).
3.
P. C.
Sabatier
,
Phys. Rev. A
8
,
589
601
(
1973
).
4.
P. C.
Sabatier
,
J. Math. Phys.
7, 8
,
1515
1521
(
1966
).
5.
K.
Chadan
,
Nuovo Cimento A
47
,
510
25
(
1967
).
6.
V. A.
Marchenko
,
Dokl. Akad. Nauk SSSR
104
,
695
8
(
1955
);
V. A.
Marchenko
,
Math. Rev.
17
,
7
,
40
(
1956
).
7.
J. A. Wheeler, in Studies in Mathematical Physics, Essays in Honor of Valentine Bargman, edited by E. H. Lieb, S. Simon, and A. S. Wightman (Princeton, U.P., Princeton, N.J., 1976), pp. 351–422.
This content is only available via PDF.
You do not currently have access to this content.