Schrödinger Operator Perturbed by Operators Related to Null Sets

作者: W. Karwowski , V. Koshmanenko , S. Ôta

DOI: 10.1023/A:1009779706963

关键词:

摘要: We discuss the Schrodinger operator with positive singular perturbations given by operators which act in space constructed a measure supported null set. construct examples when are one-dimensional Laplacian on segment.

参考文章(30)
W. Karwowski, Hamiltonians with additional kinetic energy terms on hypersurfaces Springer Berlin Heidelberg. pp. 230- 238 ,(1989) , 10.1007/BFB0022951
Sergio Albeverio, Solvable Models in Quantum Mechanics ,(1988)
Barry Simon, Michael Reed, Methods of Modern Mathematical Physics ,(1972)
G.F. Dell'Antonio, R. Figari, A. Teta, A Limit Evolution Problem for Time-Dependent Point Interactions Journal of Functional Analysis. ,vol. 142, pp. 249- 275 ,(1996) , 10.1006/JFAN.1996.0149
Victor Frederick Weisskopf, John Markus Blatt, Theoretical Nuclear Physics ,(1952)
Raphael Ho/egh‐Krohn, Helge Holden, Steinar Johannesen, Tore Wentzel‐Larsen, The Fermi surface for point interactions Journal of Mathematical Physics. ,vol. 27, pp. 385- 405 ,(1986) , 10.1063/1.527346
V. D. Koshmanenko, Perturbations of self-adjoint operators by singular bilinear forms Ukrainian Mathematical Journal. ,vol. 41, pp. 1- 14 ,(1989) , 10.1007/BF01060639
J. F. van Diejen, A. Tip, Scattering from generalized point interactions using self‐adjoint extensions in Pontryagin spaces Journal of Mathematical Physics. ,vol. 32, pp. 630- 641 ,(1991) , 10.1063/1.529404
Sergio Alberio, Johannes Brasche, Michael Röckner, Dirichlet forms and generalized Schrödinger operators Lecture Notes in Physics. ,vol. 345, pp. 1- 42 ,(1989) , 10.1007/3-540-51783-9_15