Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation
Publication
, Journal Article
Zhou, X
Published in: Communications in Mathematical Physics
March 1, 1990
For the direct-inverse scattering transform of the time dependent Schrödinger equation, rigorous results are obtained based on an opertor-triangular-factorization approach. By viewing the equation as a first order operator equation, similar results as for the first order n x n matrix system are obtained. The nonlocal Riemann-Hilbert problem for inverse scattering is shown to have solution. © 1990 Springer-Verlag.
Duke Scholars
Published In
Communications in Mathematical Physics
DOI
EISSN
1432-0916
ISSN
0010-3616
Publication Date
March 1, 1990
Volume
128
Issue
3
Start / End Page
551 / 564
Related Subject Headings
- Mathematical Physics
- 5107 Particle and high energy physics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Zhou, X. (1990). Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation. Communications in Mathematical Physics, 128(3), 551–564. https://doi.org/10.1007/BF02096873
Zhou, X. “Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation.” Communications in Mathematical Physics 128, no. 3 (March 1, 1990): 551–64. https://doi.org/10.1007/BF02096873.
Zhou X. Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation. Communications in Mathematical Physics. 1990 Mar 1;128(3):551–64.
Zhou, X. “Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation.” Communications in Mathematical Physics, vol. 128, no. 3, Mar. 1990, pp. 551–64. Scopus, doi:10.1007/BF02096873.
Zhou X. Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation. Communications in Mathematical Physics. 1990 Mar 1;128(3):551–564.
Published In
Communications in Mathematical Physics
DOI
EISSN
1432-0916
ISSN
0010-3616
Publication Date
March 1, 1990
Volume
128
Issue
3
Start / End Page
551 / 564
Related Subject Headings
- Mathematical Physics
- 5107 Particle and high energy physics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics