One Hundred Approaches to T.D.S.E.  127425





Lecture 
Exercise 
Laboratory 
Project or Seminar 
House Work 
Weekly Hours 
2 
2 


3 

Determination of the grade subject to submitting the final thesis.
Prerequisites:
    Linear Algebra 
104006
 

or
   Linear Algebra M 
104019
 

or
   Quantum Chemistry 1 
124400
 

or
   Intr.to Quantum Chemi.and Applications 
124408
 
The TimeDependent Schroedinger Equation. Initial Value and Boundary Values Problems. Discrete Representations of Operators. the Finite Difference Method, Sampling Theorem and the Fourier Method. Propagation Methods (Rk, Cn, Bpm, Sod). the Time Evolution Operator: Polynomial Approximations (Taylor, Lanczos, Chebyshev, Newton, Pade), Feynman Path Integrals. Time Dependent Hamiltonians: Magnus, Floquet and (T,T'). the Interaction Representation. Scattering Problems and Non Hermitian Representations. NonHomogeneous Equations. the Multi Dimensional Equation: Sparse Representations, Approximation Methods. Nonlinear Schroedinger Equations.
TextbooksPublished  Publisher  Authors  Book 

1986   w.h. press, b.p. flannery, w.h. press, b.p. flannery,  "numerical recipes" cambridge, newyork 
1993  nato asi services.kluger, academic  c. cerjan  numerical grid methods and their application to" ."schrodinger equation 
Created in 08/03/2021 Time 12:10:49