LANDAU-ZENER EFFECT FOR A QUASI-2D PERIODIC SANDWICH
Аннотация:
Bloch-waves in 1D periodic lattices are typically constructed based on the transfer-matrix approach, with a complete system of solutions of the Cauchy problem on a period. This approach fails for the multi-dimensional Schr¨odinger equations on periodic lattices, because the Cauchy problem is ill-posed for the associated elliptic partial differential equations. In our previous work [8] we suggested a different procedure for the calculation of the Bloch functions for the 2D Schr¨odinger equation based on the Dirichlet-to-Neumann map substituted for the transfer -matrix. In this paper we suggest a method of calculation of the dispersion function and Bloch waves of quasi-2D periodic lattices, in particular of a quasi-2D sandwich, based on construction of a fitted solvable model.
Ключевые слова:
Постоянный URL
Статьи в номере
- NONLINEARITY-DEFECT INTERACTION: SYMMETRY BREAKING BIFURCATION IN A NLS WITH A b′ IMPURITY
- ATTRACTIVE OR REPULSIVE CASIMIR EFFECT AND BOUNDARY CONDITION
- BIFURCATION CONDITION FOR OPTIMAL SETS OF THE AVERAGE DISTANCE FUNCTIONAL
- A NONLOCAL PROBLEM WITH INTEGRAL CONDITIONS FOR HYPERBOLIC EQUATION
- THRESHOLD EIGENFUNCTIONS AND THRESHOLD RESONANCES OF SOME RELATIVISTIC OPERATORS
- ВЛИЯНИЕ ЭЛЕКТРИЧЕСКОГО ПОЛЯ НА СТРУКТУРУ СЕГНЕТОЭЛЕКТРИЧЕСКИХ ШЕВРОННЫХ СМЕКТИКОВ С∗
- МОДЕЛИРОВАНИЕ ТЕЧЕНИЙ В НАНОКАНАЛАХ МЕТОДОМ МОЛЕКУЛЯРНОЙ ДИНАМИКИ
- МОДЕЛИРОВАНИЕ ОБРАЗОВАНИЯ НАНОЧАСТИЦ ДИОКСИДА ТИТАНА В ПРОТОЧНОМ ПЛАЗМОХИМИЧЕСКОМ РЕАКТОРЕ
- КРИТЕРИЙ ОЦЕНКИ ЭНЕРГЕТИЧЕСКИХ СВОЙСТВ ПОВЕРХНОСТИ
- ФОРМИРОВАНИЕ НАНОЧАСТИЦ Cr2O3 В ГИДРОТЕРМАЛЬНЫХ УСЛОВИЯХ