Скачать или смотреть Time-independent scattering theory and its dynamical formulation (Lecture -03) by Ali Mostafazadeh

PROGRAM

NON-HERMITIAN PHYSICS - PHHQP XVIII


DATE :04 June 2018 to 13 June 2018

VENUE:Ramanujan Lecture Hall, ICTS Bangalore

Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Physics.

The scope of the program on Non-Hermitian Physics is highly interdisciplinary, being aimed at mathematicians, theoretical physicists as well as experimental physicists who are working on different aspects of non-Hermitian physics. The purpose is to bring together experienced as well as young scientists, graduate students and postdoctoral fellows who are working actively and/or interested in working on various aspect of quantum as well as classical physics in which non-Hermitian phenomena play important roles.

Broad topics that will be included (but not restricted to) under the umbrella of non-Hermitian systems in this program are:

Non-Hermitian / Pseudo-Hermitian quantum theories
Open quantum systems (recent theoretical developments, state-of-the-art numerical advances and experimental progress)
Applications in Optics and Non-equilibrium statistical mechanics
Cavity-QED and circuit-QED systems (Hybrid Quantum Systems), Quantum Gases in Cavities, Quantum Devices
Recent developments in PT-symmetric systems (theory and experiment)
PT-symmetric discrete systems with applications in condensed matter and photonics
Non-Hermitian systems are not only of fundamental interest in physics and mathematics but have also been instrumental in technological advances. For example, the ideas of non-Hermitian physics have recently been used for the realization of novel quantum devices such as microwave amplifiers, masers (lasers in microwave regime) and quantum diodes. This program will also provide the platform to discuss the recent important role of non-Hermitian physics for future technologies.

During the program, we will have the following pedagogical lectures:

Aditi Mitra ( New York University, USA) - Keldysh formalism
Ali Mostafazadeh (Koc University, Turkey) - Time-independent scattering theory and its dynamical formulation
Michael Hatridge (University of Pittsburgh, USA) / R. Vijayaraghavan (Tata Institute of Fundamental Research, Mumbai) - Quantum measurements with superconducting devices
During the program, Prof. Michael Berry (H H Wills Physics Laboratory, Bristol, UK) will be delivering the Infosys - ICTS Chandrasekhar Lectures.

INTERNATIONAL ADVISORY COMMITTEE:

A. Andrianov (St Petersburg, Russia)
C. M. Bender (St. Louis, USA)
D. Christodoulides (CREOL, USA)
A. Fring (City University, London)
R. Gopakumar (ICTS-TIFR, India)
N. Hatano (IIS,Tokyo)
S. R. Jain (BARC, Mumbai)
A. Mostafazadeh (Koc University, Turkey)
I. Rotter (MPI, Dresden)
A. D. Stone (Yale, USA)
Gunter Wunner (Stuttgart, Germany)
APPLICATION DEADLINE
31 January 2018

CONTACT US: [email protected]

PROGRAM LINK: https://www.icts.res.in/program/nhp2018

Table of Contents (powered by https://videoken.com)
0:00:00 Non-Hermitian Physics - PHHQP XVIII
0:00:10 Time-independent scattering theory and its dynamical formulation (Pedagogical talk) - Lecture - 03
0:00:48 V(x) is a scattering potential
0:03:26 Aim
0:03:46 Main result
0:05:35 Example
0:13:55 Three cases
0:23:32 Dynamical formulation and scattering theory
0:25:27 Two dimensions
0:39:30 Transfer matrices
0:45:37 Scattering amplitude
0:49:55 Scattering solution
0:50:31 Phi scattering
0:54:57 Definition of Psi scattering
1:02:36 Simple application of the scheme
1:03:28 Dynamical formulation of scattering in 2D and new exactly solvable scattering potentials
1:04:07 Exactly solvable scattering potentials I:
1:10:11 Examples
1:11:21 Double delta-function potential
1:13:27 Theorem
1:15:41 Exactly solvable scattering potentials II:
1:20:35 Emitted plane wave pairs have entangled momentum with quantized y-component!
1:22:12 References
1:22:39 Q&A