Phy5670: Difference between revisions

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(New page: Image:Quantum.png ''' Welcome to the Quantum Mechanics A PHY5645 Fall2008/2009''' [[Image:SchrodEq.png|thumb|550px|Schrodinger equation. The most fundamental equation of quantum mecha...)
 
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''' Welcome to the Quantum Mechanics A PHY5645 Fall2008/2009'''
''' Welcome to the Quantum Many Body Physics PHY5670 Fall2010'''
[[Image:SchrodEq.png|thumb|550px|Schrodinger equation. The most fundamental equation of quantum mechanics which describes the rule according to which a state <math>|\Psi\rangle</math> evolves in time.
 
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PHY5670 is a one semester graduate level course. Its aim is to introduce basic concepts, and logical framework, of this vast and developing discipline: broken symmetry and adiabatic continuity. Theoretical techniques, such as coherent state path integrals and diagrammatic perturbation expansions, will be used to emphasize these deeper underlying concepts, as well as to provide practical means of calculations. Few illustrative physical systems and quantum many-body models will also be studied.
This is the first semester of a two-semester graduate level sequence, the second being [[phy5646|PHY5646 Quantum B]]. Its goal is to explain the concepts and mathematical methods of Quantum Mechanics, and to prepare a student to solve quantum mechanics problems arising in different physical applications. The emphasis of the courses is equally on conceptual grasp of the subject as well as on problem solving. This sequence of courses builds the foundation for more advanced courses and graduate research in experimental or theoretical physics.  
   
   
The key component of the course is the collaborative student contribution to the course Wiki-textbook. Each team of students is responsible for BOTH writing the assigned chapter AND editing chapters of others.
The key component of the course is the collaborative student contribution to the course Wiki-textbook. Each team of students is responsible for BOTH writing the assigned chapter AND editing chapters of others.


'''Team assignments:''' [[Phy5645_Fall09_teams|Fall 2009 student teams]]
'''Team assignments:''' [[Phy5670_Fallq0_teams|Fall 2010 student teams]]


'''Fall 2009 Midterm is October 15'''


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== Physical Basis of Quantum Mechanics ==
== Conceptual basis of many body physics ==
 
=== Broken symmetry ===
=== Adiabatic principle ===


=== Basic concepts and theory of motion in QM ===
== Theoretical methods ==
In Quantum Mechanics, all of the information of the system of interest is contained in a wavefunction , <math>\Psi\,\!</math>. Physical properties of the system such as position, linear and angular momentum, energy, etc. can be represented via linear operators, called observables. These observables are a complete set of commuting Hermitian operators, which means that the common eigenstates (in the case of quantum mechanics, the wavefunctions) of these Hermitian operators form an orthonormal basis. Through these mathematical observables, a set of corresponding physical
=== "Second" quantization ===
=== Coherent state path integrals ===
=== Green's function and diagramatic perturbation theory ===
=== Linear response and fluctuation dissipation theorem ===
=== Saddle point approximation and broken symmetry===

Revision as of 14:43, 18 August 2010

Quantum.png

Welcome to the Quantum Many Body Physics PHY5670 Fall2010

PHY5670 is a one semester graduate level course. Its aim is to introduce basic concepts, and logical framework, of this vast and developing discipline: broken symmetry and adiabatic continuity. Theoretical techniques, such as coherent state path integrals and diagrammatic perturbation expansions, will be used to emphasize these deeper underlying concepts, as well as to provide practical means of calculations. Few illustrative physical systems and quantum many-body models will also be studied.

The key component of the course is the collaborative student contribution to the course Wiki-textbook. Each team of students is responsible for BOTH writing the assigned chapter AND editing chapters of others.

Team assignments: Fall 2010 student teams


Outline of the course:


Conceptual basis of many body physics

Broken symmetry

Adiabatic principle

Theoretical methods

"Second" quantization

Coherent state path integrals

Green's function and diagramatic perturbation theory

Linear response and fluctuation dissipation theorem

Saddle point approximation and broken symmetry

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