Time-Independent Scattering Theory and Its Dynamical Formulation - Lecture 3

Explore time-independent scattering theory and its dynamical formulation in this pedagogical lecture by Ali Mostafazadeh. Delve into topics like scattering potentials, transfer matrices, and scattering amplitudes. Examine exactly solvable scattering potentials, including double delta-function potentials. Learn about the dynamical formulation of scattering in two dimensions and discover new exactly solvable potentials. Understand how emitted plane wave pairs can have entangled momentum with quantized y-components. The lecture concludes with references and a Q&A session, providing a comprehensive overview of this advanced topic in non-Hermitian physics.

Non-Hermitian Physics - PHHQP XVIII
Time-independent scattering theory and its dynamical formulation Pedagogical talk - Lecture - 03
Vx is a scattering potential
Aim
Main result
Example
Three cases
Dynamical formulation and scattering theory
Two dimensions
Transfer matrices
Scattering amplitude
Scattering solution
Phi scattering
Definition of Psi scattering
Simple application of the scheme
Dynamical formulation of scattering in 2D and new exactly solvable scattering potentials
Exactly solvable scattering potentials I:
Examples
Double delta-function potential
Theorem
Exactly solvable scattering potentials II:
Emitted plane wave pairs have entangled momentum with quantized y-component!
References
Q&A