profhugodegaris

Species Dominance, Artilects, Artilect War, Cosmists, Terrans, Gigadeath, Essays, Media, etc

PHYSICS and DIFFERENTIABLE GEOMETRY (M2, Lam)

Lecture Topic : (Math Physics) PHYSICS and DIFFERENTIABLE GEOMETRY (M2, Lam)

Prerequisites : Manifold Theory (M1); Differential Forms (M1); Lie Groups (M1); Quantum Mechanics (M1); Algebraic Topology (M1); Quantum Field Theory (M1);

Recommended Text(s) :

“Topics in Contemporary Mathematical Physics”, Kai S. Lam, World Scientific, 2003.

Approx price new on Amazon.com (hard copy) :   $78

Approx price second hand on Amazon.com (hard copy) : $80

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Lam, Mathematical Physics

Lectures and Links :

—–

Lecture 1  (link)

Ch.1   Vectors and Linear Transformations

—–

Lecture 2  (link)

Ch.2   Tensors

—–

Lecture 3  (link)

Ch.3   Symmetry and Conservation : The Angular Momentum

—–

Lecture 4 (link)

Ch.4   The Angular Momentum as Generators of Rotations : Lie Groups and Lie Algebras

—–

Lecture 5  (link)

Ch.5   Algebraic Structures

—–

Lecture 6  (link)

Ch.6   Basic Group Concepts

—–

Lecture 7  (link)

Ch.7   Basic Lie Algebra Concepts

—–

Lecture 8  (link)

Ch.8   Inner Products, Metrics, and Dual Spaces

—–

Lecture 9  (link)

Ch.9   SO(4) and the Hydrogen Atom

—–

Lecture 10  (link)

Ch.10   Adjoints and Unitary Transformations

—–

Lecture 11  (link)

Ch.11   The Lorentz Group and SL(2,C)

—–

Lecture 12  (link)

Ch.12   The Dirac Bracket Notation in Quantum Theory

—–

Lecture 13  (link)

Ch.13   The Quantum Mechanical Simple Harmonic Oscillator

—–

Lecture 14  (link)

Ch.14   Fourier Series and Fourier Transforms, the Dirac Delta Function, Green’s Functions

—–

Lecture 15  (link)

Ch.15   The Continuous Spectrum andNon-NormalizableStates

—–

Lecture 16  (link)

Ch.16   Skew-Symmetric Tensors and Determinants

—–

Lecture 17  (link)

Ch.17   Eigenvalue Problems

—–

Lecture 18  (link)

Ch.18   Group Representation Theory

—–

Lecture 19  (link)

Ch.19   The Dihedral Group D6 and the Benzene Molecule

—–

Lecture 20  (link)

Ch.20   Representations of the Symmetric Groups and the General Linear groups, Young Diagrams

—–

Lecture 21  (link)

Ch.21   Irreducible Representations of U(n), SL(n), SU(n), and O(n)

—–

Lecture 22  (link)

Ch.22   Irreducible Representations of SU(2), and SO(3)

—–

Lecture 23  (link)

Ch.23   The Spherical Harmonics

—–

Lecture 24  (link)

Ch.24   The Structure of Semisimple Lie Algebras

—–

Lecture 25  (link)

Ch.25   The Representations of Semisimple Lie Algebras

—–

Lecture 26  (link)

Ch.26   SU(3) and the Strong Interaction

—–

Lecture 27  (link)

Ch.27   Clifford Algebras

—–

Lecture 28  (link)

Ch.28   Exterior  Products

—–

Lecture 29  (link)

Ch.29   The Hodge-Star Operator

—–

Lecture 30  (link)

Ch.30   Differential Forms and Exterior Differentiation

—–

Lecture 31  (link)

Ch.31   Moving Frames and Curvilinear Coordinates in R3

—–

Lecture 32  (link)

Ch.32   Integrals of Differential  Forms and the Stokes Theorem

—–

Lecture 33  (link)

Ch.33   Homology and de Rham Cohomology

—–

Lecture 34  (link)

Ch.34   The Geometry of Lie Groups

—–

Lecture 35  (link)

Ch.35   Connections and Curvatures on a Vector Bundle

—–

Lecture 36  (link)

Ch.36   Yang-Mills Equations

—–

Lecture 37  (link)

Ch.37   Connections on a Principal Bundle

—–

Lecture 38  (link)

Ch.38   Magnetic Monopoles and Molecular Dynamics

—–

Lecture 39  (link)

Ch.39  Riemannian Geometry

—–

Lecture 40  (link)

Ch.40   Complex Manifolds

—–

Lecture 41  (link)

Ch.41   Characteristic Classes

—–

Lecture 42  (link)

Ch.42   Chern-Simons Forms

—–

Lecture 43  (link)

Ch.43   The Atiyah-Singer Index Theorem

—–

Lecture 44  (link)

Ch.44   Symplectic Structures and Hamiltonian Mechanics

—–

 

 

%d bloggers like this: