Math Physics

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• 1:19:24

  Mathematical Physics 01 - Carl Bender

  by Admin Added 5 years ago 22 Views / 0 Likes

  PSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 1Perturbation series. Brief introduction to asymptotics.

• 1:23:51

  Mathematical Physics 02 - Carl Bender

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  PSI 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

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  PSI 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

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  PSI 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

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  PSI 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

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  PSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 6Continued fractions. Pade sequence. Stieltjes series.

• 1:15:56

  Mathematical Physics 07 - Carl Bender

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  PSI 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

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  PSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 8Local analysis. Asymtotic series solution to differential equations continued. WKB approximation.

• 1:30:52

  Mathematical Physics 09 - Carl Bender

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  PSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 9Asymptotic series solution to differential equations continued

• 1:22:42

  Mathematical Physics 10 - Carl Bender

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  PSI 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

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  PSI 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

  by Admin Added 5 years ago 17 Views / 0 Likes

  PSI 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

  by Admin Added 5 years ago 23 Views / 0 Likes

  PSI 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

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  PSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 14

• 1:31:30

  Mathematical Physics 15 - Carl Bender

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  PSI Lectures 2011/12Mathematical PhysicsCarl BenderLecture 15