35 citations · 88 across the 7 of their papers we have counts for
7 papers
On the Microcanonical Entropy of a Black Hole
Rajat K. Bhaduri, Muoi N. Tran, Saurya Das
It has been suggested recently that the microcanonical entropy of a system may be accurately reproduced by including a logarithmic correction to the canonical entropy. In this pape…
On the Quantum Density of States and Partitioning an Integer
Muoi N. Tran, M. V. N. Murthy, Rajat K. Bhaduri
This paper exploits the connection between the quantum many-particle density of states and the partitioning of an integer in number theory. For bosons in a one dimensional harm…
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…
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…
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…
Microcanonical versus canonical ensemble of bosons in a 1D harmonic trap
Muoi N. Tran
We consider a fixed number of noninteracting bosons in a harmonic trap. The determination of the exact microcanonical ground state number fluctuation is a difficult enterprise. The…