1. Singularities in hydrodynamics of degenerate 1D quantum systems P. Wiegmann Together with Abanov

2. How does a wave packet propagate in degenerate Fermi gas? degenerate Bose gas?

3. Free fermions in 1D A smooth bump in density or momenta: all gradients << Fermi scale

4. A single particle: Wave packet consisting of a single particle diffuses

5. Does quantum coherence (or Fermi sea) make an impact?

6. Can this question be answered by elementary means?

7. Hydrodynamics of quantum coherent systems (traditionally called bosonization): String theory (tachion dynamics); Methods: Integrable hierarchies /matrix models

8. Hydrodynamics: to express particles (fermions or bosons) through hydrodynamics (bosonic) modes:

9. bosonization - linear hydrodynamics: Linearisation of the spectrum: Shape does not change!?

10. Dispersion - asymmetry between particles and holes

13. Quantum degenerate (or coherent) systems obey dispersive non-dissipative hydrodynamics

14. Burgers Semiclassics: single particle: quantum mechanics

15. Burgers Hopf -Riemann Benjamin-Ono Fermi-sea: quantum field theory

16. Initial coherent state Evolving coherent state tau-function ( a decay rate) momentum Benjamin-Ono equation and hierarchy

17. Dispersive hydrodynamics Morning Glory Collective Field Theory (Non-Linear Bosonization) Hopf Equation, Benjamin-Ono equation Dispersive shock waves Witham modulations

23. True, non-linearized hydrodynamics Hamiltonian Jevicki, Sakita, Polchinsky,......... Free fermions:

24. Equations: Euler’s Hydrodynamics

25. Density Current, velocity

26. Schottky double

27. Hopf Equation:

28. Hopf equation Wave equation- a linearized version

29. Shock-wave solution

30. Classical limit of the quantum Hoph equation Benjamin-Ono equation

31. Witham modulation Periodic solution Modulation Shock wave

32. Distribution of solitons is sensitive to initial data

34. Morning Glory

35. Arena for observation: cooled alkali atomic gases

37. Chain of rolling cloudsMorning glory South AustraliaBelieved to be Benjamin-Ono eq