Title :
Tight-binding investigation of the generalized Dirac comb
Author :
Mikhaylova, A.B.
Author_Institution :
Dept. of Phys., St. Petersburg State Univ.
Abstract :
The problem of describing a negative spectrum of the periodic self-adjoint Schroedinger operator is very popular in quantum mechanics and it is called the tight-binding approximation. Our aim is to show that the main aspects of the theory are illustrated by a very simple one-dimensional example of minus the second derivative with arbitrary boundary conditions at the vertices of the lattice. We consider one-dimensional Schroedinger equation
Keywords :
Schrodinger equation; approximation theory; lattice theory; mathematical operators; quantum theory; boundary conditions; generalized Dirac comb; lattice; negative spectrum; one-dimensional Schroedinger equation; one-dimensional example; periodic self-adjoint Schroedinger operator; quantum mechanics; tight-binding approximation; tight-binding investigation; vertices; Boundary conditions; Diffraction; Eigenvalues and eigenfunctions; Equations; Lattices; Physics; Quantum mechanics; Stability;
Conference_Titel :
Day on Diffraction Millenniuym Workshop, 2000. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0252-4
DOI :
10.1109/DD.2000.902362
