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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
Availability free on eMule.com (e-format) : Yes
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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Links to Other Lecturers on this Topic :