QUANTUM MECHANICS (M2, Yourgrau)

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 Amazon.com (hard copy) :   $8

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

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

Lectures and Links :

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Lecture 1  (link)

Ch.1   Prolegomena

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Lecture 2  (link)

Ch.2   Fermat’s Principle of Least Time

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Lecture 3  (link)

Ch.3   The Principle of Least Action of Maupertuis

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Lecture 4  (link)

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

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Lecture 5  (link)

Ch.5   The Equations of Lagrange and Hamilton

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Lecture 6  (link)

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

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Lecture 7  (link)

Ch.7   Contact Transformation andHamilton’s Canonical Equations

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Lecture 8  (link)

Ch.8   Electrodynamics in Hamiltonian Form

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Lecture 9  (link)

Ch.9   Resume of  Variational Principles in  Classical Mechanics

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Lecture 10  (link)

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

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Lecture 11  (link)

Ch.11   Variational Principles and Wave Mechanics

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Lecture 12  (link)

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

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Lecture 13  (link)

Ch.13   Variational  Principles in Hydrodynamics

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Lecture 14  (link)

Ch.14   The Significance of Variational  Principles in Natural  Philosophy

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Lecture 15  (link)

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

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Lecture 16  (link)

Appendix 2 : Variational Principles and Chemical  Reactions

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