74 citations · 583 across the 49 of their papers we have counts for
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Quantum Density of States and Integer Partitions: A Semiclassical Approach
M. V. N. Murthy, Matthias Brack
In this review we discuss semi-classical methods that are traditionally used to describe many-body systems in physics, but may also be used to describe partitions of integers in an…
Semiclassical analysis of distinct square partitions
M. V. N. Murthy, Matthias Brack, Rajat K. Bhaduri +1
We study the number of partitions of an integer into sums of distinct squares and derive an integral representation of the function . Using semi-classical and quan…
A phenomenological approach to the equation of state of a unitary Fermi gas
M. V. N. Murthy, M. Brack, R. K. Bhaduri
We propose a phenomenological approach for the equation of state of a unitary Fermi gas. The universal equation of state is parametrised in terms of Fermi-Dirac integrals. This rep…
The universal equation of state of a unitary fermionic gas
R. K. Bhaduri, W. van Dijk, M. V. N. Murthy
It is suggested that for a fermi gas at unitarity, the two-body bond plays a special role. We propose an equation of state using an ansatz relating the interaction part of the -…
The virial expansion of a classical interacting system
R. K. Bhaduri, M. V. N. Murthy, Diptiman Sen
We consider N particles interacting pair-wise by an inverse square potential in one dimension (Calogero-Sutherland-Moser model). When trapped harmonically, its classical canonical…
Solitons in one-dimensional interacting Bose-Einstein system
R. K. Bhaduri, Sankalpa Ghosh, M. V. N. Murthy +1
A modified Gross-Pitaevskii approximation was introduced recently for bosons in dimension by Kolomeisky {\it et al.} (Phys. Rev. Lett. {\bf 85} 1146 (2000)). We use the den…
Ground state fluctuations in finite Fermi and Bose systems
Muoi Tran, M. V. N. Murthy, R. K. Bhaduri
We consider a small and fixed number of fermions (bosons) in a trap. The ground state of the system is defined at T=0. For a given excitation energy, there are several ways of exci…