5 papers
Negative heat capacities in spherically symmetric sectors of -matrix quantum mechanics
Denjoe O'Connor, Sanjaye Ramgoolam
We consider the and invariant sectors of the bosonic -matrix harmonic oscillator with gauge symmetry. The micro-canonical degeneracy $\mathcal{Z}( N , d ,…
Gauged permutation invariant tensor quantum mechanics, least common multiples and the inclusion-exclusion principle
Denjoe O'Connor, Sanjaye Ramgoolam
We derive the canonical ensemble partition functions for gauged permutation invariant tensor quantum harmonic oscillator thermodynamics, finding surprisingly simple expressions wit…
Permutation invariant matrix quantum thermodynamics and negative specific heat capacities in large N systems
Denjoe O'Connor, Sanjaye Ramgoolam
We study the thermodynamic properties of the simplest gauged permutation invariant matrix quantum mechanical system of oscillators, for general matrix size . In the canonical en…
Gauged permutation invariant matrix quantum mechanics: Partition functions
Denjoe O'Connor, Sanjaye Ramgoolam
The Hilbert spaces of matrix quantum mechanical systems with matrix degrees of freedom have been analysed recently in terms of symmetric group elements …
Gauged permutation invariant matrix quantum mechanics: Path Integrals
Denjoe O'Connor, Sanjaye Ramgoolam
We give a path integral construction of the quantum mechanical partition function for gauged finite groups. Our construction gives the quantization of a system of , …