35 citations · 88 across the 7 of their papers we have counts for
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cond-mat.stat-mech2002★ 6 cited
Number Fluctuation and the Fundamental Theorem of Arithmetic
Muoi N. Tran, Rajat K. Bhaduri
We consider N bosons occupying a discrete set of single-particle quantum states in an isolated trap. Usually, for a given excitation energy, there are many combinations of exciting…
math-ph2002★ 9 cited
Exact ground state number fluctuations of trapped ideal and interacting fermions
Muoi N. Tran
We consider a small and fixed number of fermions in an isolated one-dimensional trap (microcanonical ensemble). The ground state of the system is defined at T=0, with the lowest si…
cond-mat.stat-mech2002★ 14 cited
Number Fluctuation in an interacting trapped gas in one and two dimensions
R. K. Bhaduri, M. V. N. Murthy, Muoi N. Tran
It is well-known that the number fluctuation in the grand canonical ensemble, which is directly proportional to the compressibility, diverges for an ideal bose gas as T -> 0. We sh…