Math Physics
-
1:19:24
Mathematical Physics 01 - Carl Bender
Added 56 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 1Perturbation series. Brief introduction to asymptotics.
-
1:23:51
Mathematical Physics 02 - Carl Bender
Added 54 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 2The Schroedinger equation. Riccati equation. Initial value problem. Perturbation series approach to solving the Schroedinger equation. The eigenvalue problem.
-
1:26:49
Mathematical Physics 03 - Carl Bender
Added 56 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 3Putting a perturbative parameter in the exponent. Thomas-Fermi equation. KdV equation. Eigenvalue problem - analytic structure of the energy function. The square root function. Branch cuts. Shank
-
1:24:47
Mathematical Physics 04 - Carl Bender
Added 72 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 4Acceleration of convergence. Shanks transform. Richardson extrapolation. Summing a divergent series. Euler summation. Borel summation. Generic summation machines.
-
1:23:38
Mathematical Physics 05 - Carl Bender
Added 43 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 5Summation of divergent series continued. Analytic continuation of zeta and gamma functions. The anharmonic oscillator.
-
1:25:57
Mathematical Physics 06 - Carl Bender
Added 55 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 6Continued fractions. Pade sequence. Stieltjes series.
-
1:15:56
Mathematical Physics 07 - Carl Bender
Added 42 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 7Pade technique for summing a series. Asymptotic series. Fuchs' theorem. Frobenius series.
-
1:23:59
Mathematical Physics 08 - Carl Bender
Added 48 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 8Local analysis. Asymtotic series solution to differential equations continued. WKB approximation.
-
1:30:52
Mathematical Physics 09 - Carl Bender
Added 46 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 9Asymptotic series solution to differential equations continued
-
1:22:42
Mathematical Physics 10 - Carl Bender
Added 52 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 10Asymptotic solutions to the inhomogeneous Airy equation. The rigourous theory of asymptotics. Stieltjes functions. The four properties of Stieltjes functions. Herglotz property
-
1:30:43
Mathematical Physics 11 - Carl Bender
Added 43 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 11Proof of Herglotz property of Stieltjes functions. Stieltjes functions and the convergence of Pade sequences. The moment problem. Carleman condition.
-
1:25:54
Mathematical Physics 12 - Carl Bender
Added 47 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 12Asymptotic distribution of the number of Feynman diagrams in phi^4 theory. Comparison with phi^6 and phi^8 theories. Sketch of the precise asymptotic expression for the coefficient of the pertur
-
1:26:09
Mathematical Physics 13 - Carl Bender
Added 49 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 13Accuracy of WKB. Solution to the Sturm-Liouville problem using WKB. Turning points.
-
1:30:15
Mathematical Physics 14 - Carl Bender
Added 62 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 14
-
1:31:30
Mathematical Physics 15 - Carl Bender
Added 40 Views / 0 LikesPSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 15