Justification of c-Number Substitutions in Bosonic Hamiltonians

Details Justification of c-Number Substitutions in Bosonic Hamiltonians Justification of c-Number Substitutions in Bosonic Hamiltonians

2004-12-08

arxiv.org/abs/math-ph/0412023v3

Phys. Rev. Lett. 94, 080401 (2005)

Physics

Mathematical Physics

RevTeX4, 4pages; minor modifications in the text; final version, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.94.080401

The validity of substituting a c-number $z$ for the $k=0$ mode operator $a_0$ is established rigorously in full generality, thereby verifying one aspect of Bogoliubov's 1947 theory. This substitution not only yields the correct value of thermodynamic quantities like the pressure or ground state energy, but also the value of $|z|^2$ that maximizes the partition function equals the true amount of condensation in the presence of a gauge-symmetry breaking term -- a point that had previously been elusive.

Affiliated with

Also associated with

No associations

Rating

Justification of c-Number Substitutions in Bosonic Hamiltonians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Justification of c-Number Substitutions in Bosonic Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Justification of c-Number Substitutions in Bosonic Hamiltonians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170052