23 citations · 112 across the 12 of their papers we have counts for
9 papers · 1 filter
Supersymmetric quantum mechanics and the Riemann hypothesis
Pushpa Kalauni, Kimball A Milton
We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and…
Remarks on the Casimir Self-Entropy of a Spherical Electromagnetic -Function Shell
Kimball A. Milton, Pushpa Kalauni, Prachi Parashar +1
Recently the Casimir self-entropy of an electromagnetic -function shell was considered by two different groups, with apparently discordant conclusions, although both had conclud…
Bogoliubov transformation and the thermal operator representation in the real time formalism
Ashok Das, Atri Deshamukhya, Pushpa Kalauni +1
It has been shown earlier \cite{brandt,brandt1} that, in the mixed space, there is an unexpected simple relation between any finite temperature graph and its zero temperature count…
Casimir Self-Entropy of a Spherical Electromagnetic -Function Shell
K. A. Milton, Pushpa Kalauni, Prachi Parashar +1
In this paper we continue our program of computing Casimir self-entropies of idealized electrical bodies. Here we consider an electromagnetic -function sphere ("semitransparent…
Casimir Self-Entropy of an Electromagnetic Thin Sheet
Yang Li, K. A. Milton, Pushpa Kalauni +1
Casimir entropies due to quantum fluctuations in the interaction between electrical bodies can often be negative, either caused by dissipation or by geometry. Although generally su…
Operator description for thermal quantum field theories on an arbitrary path in the real time formalism
Ashok Das, Pushpa Kalauni
We develop an operator description, much like thermofield dynamics, for quantum field theories on a real time path with an arbitrary parameter . We point out new…
Stress tensor for a scalar field in a spatially varying background potential: Divergences, "renormalization," anomalies, and Casimir forces
Kimball A. Milton, Stephen A. Fulling, Prachi Parashar +2
Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the st…
Proper time method in de Sitter space
Ashok K. Das, Pushpa Kalauni
We use the proper time formalism to study a (non-self-interacting) massive Klein-Gordon theory in the two dimensional de Sitter space. We determine the exact Green's function of th…
Supersymmetry, shape invariance and the hypergeometric equation
Ashok K. Das, Pushpa Kalauni
It has been shown earlier that the solubility of the Legendre and the associated Legendre equations can be understood as a consequence of an underlying supersymmetry and shape inva…