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Lecture Topic : (Math Physics) QUANTUM  MECHANICS (M2, Yourgrau)

Prerequisites : Quantum Mechanics (M1); Nuclear Physics (M1); Classical Mechanics (M1);

Recommended Text(s) :

“Variational Principles in Dynamics and Quantum Theory” Wolfgang Yourgrau &Stanley  Mandelstam,Dover, 1979

Approx price new on (hard copy) :   $8

Approx price second hand on (hard copy) : $8

Availability free on (e-format) : Yes

eMule search key word(s) : Yourgrau, Variational Principles

Lectures and Links :


Lecture 1  (link)

Ch.1   Prolegomena


Lecture 2  (link)

Ch.2   Fermat’s Principle of Least Time


Lecture 3  (link)

Ch.3   The Principle of Least Action of Maupertuis


Lecture 4  (link)

Ch.4   The Development of this Principle by Euler and Lagrange


Lecture 5  (link)

Ch.5   The Equations of Lagrange and Hamilton


Lecture 6  (link)

Ch.6  Hamilton’s Principle and the Hamilton-Jacobi Equation


Lecture 7  (link)

Ch.7   Contact Transformation andHamilton’s Canonical Equations


Lecture 8  (link)

Ch.8   Electrodynamics in Hamiltonian Form


Lecture 9  (link)

Ch.9   Resume of  Variational Principles in  Classical Mechanics


Lecture 10  (link)

Ch.10   Relation between Variational Principle and the Older Form of  Quantum Theory


Lecture 11  (link)

Ch.11   Variational Principles and Wave Mechanics


Lecture 12  (link)

Ch.12   The Principles of Feynman and Schwinger in Quantum Mechanics


Lecture 13  (link)

Ch.13   Variational  Principles in Hydrodynamics


Lecture 14  (link)

Ch.14   The Significance of Variational  Principles in Natural  Philosophy


Lecture 15  (link)

Appendix 1 : Proof of the Euler-Lagrange Conditions for an Integral to be  Stationary


Lecture 16  (link)

Appendix 2 : Variational Principles and Chemical  Reactions


Links to Other Lecturers on this Topic :


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