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Tuesday, June 30, 2009

Modern Physics Video Lecture Courses

Hi everyone! This month I have a bunch of really modern physics video courses. They include Special Relativity, General Relativity, Quantum Mechanics, Cosmology, Einstein's Theory, Quantum Entanglements, LHC, Dirac Strings, and Explorations of 4th Dimension. As a bonus I have included an amazing graduate level Classical Mechanics course and Lee Smolin's thoughts about universe.


General Relativity (Physics 514, McGill University)


Course topics:
Course by Professor Alex Maloney. Introduction. Gravitation and Curvature, a brief review of special relativity. Differential Geometry I: Metrics, Manifolds and Tensors. Differential Geometry II: Curvature, Geodesics. General Relativity. Einstein's Equation. The Stress Tensor. Linearized Gravity. Newtonian Solutions. Gravity Waves. The Schwarzschild Black Hole. Tests of GR. Cosmology, FRW universes. General Black Holes.



Special Relativity (Stanford, by Leonard Susskind)


Course topics:
Space and time of Newtonian mechanics. The old ecá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365r cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory. The new special cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory. Postulates of special relativity. Comparisons of meter sticks and clocks; setting of clocks. Lorentz transformation. Four-dimensional space-time of Minkowski. Einstein's velocity addition law. Aberration. Doppler Effect. Particle dynamics. Longitudinal and transverse mass. Association of momentum with motion of energy. Motion of charged particles in E and B fields. Transitions, collisions, reactions. Light pressure. Matrices in four-space. Time-like, space-like, and singular intervals. Proper time, proper length. The principle of covariance. Character of tensor equations. Geodesics. Tensor analysis for special relativity. Tensor algebra; contraction. Discussion of four-vectors; position, velocity, acceleration, momentum, force. Electrodynamics in four-space. Lorentz four-potential. Maxwell stress tensor. Electromagnetic field tensor, dual tensor. Collisions and Reactions Momentum space. Radiation from accelerated charges. Jacobian determinants. Dynamics of a system of particles. Radiated power; Larmor's formula. Multipole radiation.



Einstein's Theory (Stanford, by Leonard Susskind)


Course topics:
The equivalence principle. Paths of particles and light rays. Gravitational red shift. Twin paradox. Clocks on a rotating platform. Tensor analysis for general relativity. Transformations of tensors; algebra of tensors. Christoffel symbols. Covariant derivatives. Riemann-Christoffel tensor. Ricci tensor. Equation for a geodesic. Principle of Covariance. Einstein's field equations Gravitational field in free space. Weak-field approximation to Einstein's field equations. Discussion of cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Schwarzschild solution. Gravitational shift of spectral lines Black holes. Gravitational Waves. Cosmology.



Quantum Mechanics (Stanford)


Course topics:
Randomness in quantum mechanics. The two slit experiment. Interference. Observables. Reversible and irreversible processes. Heisenberg's uncertainty principle. Wavepackets. Relativistic particles. Complex numbers and Hilbert space. Complex functions. Complex vectors. Inner product. Bra. Ket. Operators. Linear operators. Hermit operators. Eigenvalues and eigenvectors. The postulates of quantum mechanics. Observables. States. Entangled staes. Bell states. Coherent states. Schrodinger equation. Time dependent and time independent schroedinger equations. Scattering cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory. Partial waves. Hamiltionians.


Quantum Entanglements (Stanford, Fall 2006)



Quantum Entanglements (Stanford, Spring 2007)


Course topics:
Quantum Mechanics review. Observables. Spin. States. Density matrices. Hidden variables. Bell's inequality. EPR paradox. Projective Hilbert space. Fubini-Study metric. QM Copenhagen interpretation. QM Bohm interpretation. Wavefunction collapse. Quantum information channels. Quantum teleportation. No-communication cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365orem. Entropy. Entanglement.



Cosmology (Stanford)


Course topics:
Early Scientific Cosmology. Cartesian and Newtonian World Systems. Cosmology After Newton and Before Einstein. Stars. Galaxies. Location and cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Cosmic Center. Containment and cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Cosmic Edge. Space and Time. Curved Space. Special Relativity. General Relativity. Black Holes. Expansion of cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Universe. Redshifts. Newtonian Cosmology. The Cosmic Box. The Many Universes. Observational Cosmology. The Early Universe. Horizons in cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Universe. Inflation. The Cosmic Numbers. Darkness at Night. Creation of cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Universe. The Golden Age of Cosmology



Carl Sagan Explains 4th Dimension


Lecture outline:
Physicists say "Space is curved. Universe is finite but unbounded.", what do cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365y mean? Carl Sagan takes you to a flat universe where he shows how a 3D world would look for 2D creatures. From this explanation you can understand how difficult it would be for us to understand four dimensions.


Why Physicists Need cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Large Hadron Collider


Video lecture outline:
The LHC is cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 biggest (27 kilometers around) scientific instrument ever built and it is now ramping up to start taking data. It smashes togecá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365r protons at enormous energy in order to create new forms of matter. Physicists hope to find cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Higgs Boson which is cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 missing link in our current cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory. Hopefully unanticipated discoveries will be made. I will explain why physicists need this expensive tool in order to understand nature at cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 smallest distance scales.


Why did cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 LHC break down last year?


LCD video outline:
A report on cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 causes of cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 September 19th incident that brought down cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 LHC. The main reason was an electrical part overheating and no longer being superconducing. As a result, huge force crashed cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 magnets togecá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365r.


Air on cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Dirac Strings


Video description:
"Air on cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Dirac Strings" explores cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 rotation of objects connected by a belt or by strings to a fixed background. Such an object plus its connections to cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 background will be entangled by a 360 degree rotation, yet returned fully to its original configuration after a 720 degree rotation. This combination of topology and geometry has applications to cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 physics of an electron.

The geometry/topology of cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Dirac string trick is intimately connected with cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 quaternions. The patterns of rotation of an object that is connected to a background are described directly by cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 quaternion algebra. The quaternions are also useful for representing rotations in cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 usual sense, and cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365y were used in this way to program cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 graphics in this movie.

This motion has been incorporated into cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Philippine wine dance where a dancer rotates a wine glass 720 degrees without spilling a drop.



Bonus: Graduate Classical Mechanics (Physics 451, McGill University)


Course topics:
Lagrangian Mechanics. Degrees of freedom and equations of motion. Conservation of
Energy and Momentum. The Calculus of Variations. Euler-Lagrange equations. Constrained Systems and Lagrange multipliers. Oscillators. Small fluctuations. Damped, forced and anharmonic. One dimensional systems. Motion in a central field. Kepler's laws. Symmetries and Conservation laws. Noecá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365r's cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365orem. Gallilean relativity. Rotation. Euler's equations. Rigid Bodies. Theory of small fluctuations. Molecules. Hamiltonian Mechanics. Phase space. Poisson brackets. Canonical Transformations. Symmetries. Noecá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365r's cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365orem. Time Permitting: Liouville's cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365orem & Poincar'e recurrence. Hamilton-Jacobi cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory. Integrable systems. Chaos. Quantization. Field Theory.



Bonus 2: Classical Mechanics (Stanford University)


Course topics:
Lagrangian formulation of mechanics. Variational principles and least action principles, Lagrangian equations of motion, constraints and configuration manifolds, conjugate variables and phase space, and symmetries and conservation laws. Hamiltonian formulation of mechanics. Hamilton's equations, canonical transformations, Poisson brackets, Liouville's cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365orem, invariants, Hamilton-Jacobi equation, action-angle variables, and adiabatic damping. We will also introduce cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 symplectic approach to canonical transformations using Lie transformation and Lie Algebra. Rigid body motion. Inertia tensors. Euler angles. Rotation matrices. Small oscillations. Normal modes, ordinary resonance, parametric resonances. Central force problems (cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 Kepler problem and scattering).



Bonus 3:Lee Smolin about Universe


Video outline:
What is space and what is time? This is what cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 problem of quantum gravity is about. In general relativity, Einstein gave us not only a cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory of gravity but a cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory of what space and time are - a cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory that overthrew cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 previous Newtonian conception of space and time. The problem of quantum gravity is how to combine cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 understanding of space and time we have from relativity cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory with cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365 quantum cá cược thể thao bet365_cách nạp tiền vào bet365_ đăng ký bet365ory, which also tells us something essential and deep about nature.



Have fun guys! Till next month!


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