v1.0:
  * Major overhaul: All sections have been changed and improved.

  * Added: Computation of the condensate fraction

  * Added: Discussion and plots of correlation function and momentum distribution

  * Added: Section on numerical computation

  * Added: Appendices on functional analysis

  * Added: Detailed analysis of the operator K_e

  * Change: Parameters for numerical simulations.

  * Change: Renamed "Simplified approach" to "Lieb's simplified approach"

  * Added: More bibliography

  * Added: Acknowledgements


v0.2:
  * Added: Discussion of uniqueness of the solution of the Simple Equation

  * Added: Exercise: prove \psi_0>=0 using |\psi_0|

  * Added: Links in bibliography

  * Removed: Commented blocks

  * Fixed: Formatting


v0.1:

  * Fixed: H_N is not compact, e^{-H_N} is.

  * Fixed: Removed confusing discussion of Anyons

  * Added: Discussion of compactness.