|
Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 68, Number 2, Pages 244–254
(Mi tmf5174)
|
|
|
|
This article is cited in 7 scientific papers (total in 7 papers)
Analog of Levinson's formula for a Schrödinger operator with long-range potential
A. A. Kvitsinskiy
Abstract:
Trace formulas of zeroth order are obtained for a radial Schrödinger
operator with long-range potential $V(x)$ that decreases as $x\to\infty$ as the
power $x^{-\alpha}$ with $1\leqslant\alpha\leqslant 2$. These formulas relate the increment of the phase shift in the continuum to the characteristics of the discrete
spectrum and generalize Levinson's theorem to the case of slowly decreasing
potentials.
Received: 23.05.1985
Citation:
A. A. Kvitsinskiy, “Analog of Levinson's formula for a Schrödinger operator with long-range potential”, TMF, 68:2 (1986), 244–254; Theoret. and Math. Phys., 68:2 (1986), 801–808
Linking options:
https://www.mathnet.ru/eng/tmf5174 https://www.mathnet.ru/eng/tmf/v68/i2/p244
|
Statistics & downloads: |
Abstract page: | 265 | Full-text PDF : | 96 | References: | 41 | First page: | 1 |
|