The Time-dependent 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. Non-homogeneous Equations. The Multi- Dimensional Equation# Sparse Representations, Approximation Methods. Nonlinear Schroedinger Equations.

Faculty: Chemistry
|Graduate Studies
Pre-required courses

(104019 - Linear Algebra M and 124400 - Quantum Chemistry 1) or (104019 - Linear Algebra M and 124408 - Intr.to Quantum Chemi.and Applications) or (104019 - Linear Algebra M and 115203 - Quantum Physics 1) or (104019 - Linear Algebra M and 115203 - Quantum Physics 1)