1. Anomalous _spectral __function of ___superconductors Tomáš Bzdušek Advisor: Doc. RNDr. Richard Hlubina, CSc. 13. 11. 2012 #2

2. Laplace Jaynes

3. Take probability distribution which is compatible with our information, and which has the maximum possible entropy!

4. Jaynes If cube is replaced with a many-particle system…

5. Jaynes What is the use in my problem?

6. probabilistic interpretation!

7. Naïve method of analytic continuation: Padé approximants

8. Fresh results and a comparison to BCS model

9. Fresh results – A(x) l = 1, T/ w 0 = 0.005, n = 2500, E=25, r = 30, s = 2,  k = 0

10. Fresh results – B(x) l = 1, T/ w 0 = 0.005, n = 2500, E=25, r = 35, s = 2,  k = 0

11. Fresh results – Z(x) on real axis l = 1, T/ w 0 = 0.005, n = 2500, E=25, r = 45, s = 2 Real Imaginary

12. Fresh results – D (x) on real axis l = 1, T/ w 0 = 0.005, n = 2500, E=25, r = 45, s = 2 Real Imaginary

13. References  E. T. Jaynes: Information Theory and Statistical Mechanics, Phys. Rev. 106, 620—630 (1957)  R. N. Silver, D. S. Sivia, J. E. Gubernatis: Maximum-entropy method for analytic continuation of quantum Monte Carlo data, Phys. Rev. B 41, 2380—2389 (1990)  H. J. Vidberg, J. W. Serene: Solving the Eliashberg equations by means of N-point Padé approximants, J. of Low Temperature Physics 3-4, 179—192 (1977)  K. S. D. Beach, R. J. Gooding, F. Marsiglio: Reliable Padé analytical continuation method based on a high-accuracy symbolic computation algorithm, Phys. Rev. B 61, 5147—5157 (2000)

14. Real Imaginary Thank you for your attention!