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ROTATING QUANTUM GASES
SOME PRELIMINARY MODELS
MICROSCOPIC THEORY OF A MONOLAYER
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approach approximately binding energy Bose gas boson bound state wave bulk liquid chapter CHNC equation choose co(x coordinates correlation function corresponding density functions density matrix density profile derived discussed energy/atom equilibrium evaluate exact ground exact solution expectation value exponential expression external potential Fermi Fermi sea fermion finite form for Y2 G. V. Chester given grand potential ground state energy H-coL hamiltonian He-He interaction helium atoms integral equation interaction potential J. G. Dash Jastrow kinetic energy large system latter layer of atoms Lett liquid helium film lowest energy many-body minimizing monolayer Monte Carlo method negative number of particles obtained one-dimensional one-particle Phys Pitaevski potential energy problem procedure properties quantized vortex lines rigid body rotation Schrodinger equation second term short-range shown in Fig side of Eq solution to Eq superfluid two-dimensional Typical solution variational vt(x wall potential wave function