61 citations · 65 across the 4 of their papers we have counts for
7 papers
The Schwinger Action Principle and the Feynman Path Integral for Quantum Mechanics in Curved Space
David J. Toms
The Feynman path integral approach to quantum mechanics is examined in the case where the configuration space is curved. It is shown how the ambiguity that is present in the choice…
Oscillations in trapped Fermi gases in isotropic potentials
D. J. Toms
We study the thermodynamic properties of an ideal gas of fermions in a harmonic oscillator confining potential. The analogy between this problem and the de Haas-van Alphen effect i…
Stress-energy tensor for a quantised bulk scalar field in the Randall-Sundrum brane model
A. Knapman, D. J. Toms
We calculate the vacuum expectation value of the stress-energy tensor for a quantised bulk scalar field in the Randall-Sundrum model, and discuss the consequences of its local beha…
Vacuum solutions for scalar fields confined in cavities
David J. Toms
We look at vacuum solutions for fields confined in cavities where the boundary conditions can rule out constant field configurations, other than the zero field. If the zero field i…
Zero-point energies and the multiplicative anomaly
J. J. McKenzie-Smith, D. J. Toms
For the case of a relativistic scalar field at finite temperature with a chemical potential, we calculate an exact expression for the one-loop effective action using the full fourt…
Bose-Einstein condensation of nonrelativistic charged particles in a constant magnetic field
Guy B. Standen, David J. Toms
The statistical mechanics of a system of non-relativistic charged particles in a constant magnetic field is discussed. The spatial dimension is arbitrary with assumed…