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1.
Yu. D. Fiveiskii 《Russian Physics Journal》1967,10(2):15-17
A method is given for calculating the cross section for neutralization of
for medium and heavy nuclei in terms of the optical potential, by addition of the neutralization operator
. The method is reasonable for energies
. Explicit forms are obtained for the differential and total cross sections for an optical potential in the form of a complex rectangular well, V(r) = V0., in which V0 differs; from zero within the nucleus and
. The value of Vo corresponding to the observed cross section for lead is derived. The dependence of the total cross section on V0 for copper is given.I am indebted to P. E. Nemirovskii for direction and valuable advice. 相似文献
2.
Pavel M. Bleher Denis V. Kosygin Yakov G. Sinai 《Communications in Mathematical Physics》1995,170(2):375-403
We consider the Weyl asymptotic formula
相似文献
3.
On the Schrödinger equation and the eigenvalue problem 总被引:1,自引:0,他引:1
If
k
is thek
th eigenvalue for the Dirichlet boundary problem on a bounded domain in
n
, H. Weyl's asymptotic formula asserts that
, hence
. We prove that for any domain and for all
. A simple proof for the upper bound of the number of eigenvalues less than or equal to - for the operator –V(x) defined on
n
(n3) in terms of
is also provided.Research partially supported by a Sloan Fellowship and NSF Grant No. 81-07911-A1 相似文献
4.
The essential spectrum of singular matrix differential operator determined by the operator matrix
5.
Walter Craig 《Communications in Mathematical Physics》1989,126(2):379-407
This paper discusses certain aspects of the spectral and inverse spectral problems for the Schrödinger operator
, for q(x)C(), the space of bounded continuous functions. The trace formula of the title is the relation
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