478 citations · 5.2k across the 162 of their papers we have counts for
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Thermal Casimir interactions in multi-particle systems: scattering channel approach
Yang Li, Kimball A. Milton, Iver Brevik
Multi-particle thermal Casimir interactions are investigated, mostly in terms of the Casimir entropy, from the point of view based on multiple-scattering processes. The geometry of…
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…
Casimir Self-Entropy of Nanoparticles with Classical Polarizabilities: Electromagnetic Field Fluctuations
Yang Li, Kimball A. Milton, Prachi Parashar +3
Not only are Casimir interaction entropies not guaranteed to be positive, but also, more strikingly, Casimir self-entropies of bodies can be negative. Here, we attempt to interpret…
Energetics of quantum vacuum friction. II: Dipole fluctuations and field fluctuations
Xin Guo, Kimball A. Milton, Gerard Kennedy +3
As a second paper in series with arXiv:2108.01539, we discuss here quantum vacuum friction on an intrinsically dissipative particle. The friction arises not only from the field flu…
The energetics of quantum vacuum friction: Field fluctuations
Xin Guo, Kimball A. Milton, Gerard Kennedy +3
Quantum fluctuations can induce a friction on a neutral but polarizable particle and cause it to radiate energy even if the particle is moving in free space filled with blackbody r…
Self-force on moving electric and magnetic dipoles: dipole radiation, Vavilov-Čerenkov radiation, friction with a conducting surface, and the Einstein-Hopf effect
Kimball A. Milton, Hannah Day, Yang Li +2
The classical electromagnetic self-force on an arbitrary time-dependent electric or magnetic dipole moving with constant velocity in vacuum, and in a medium, is considered. Of cour…
Self-Stress on a Dielectric Ball and Casimir-Polder Forces
Kimball A. Milton, Prachi Parashar, Iver Brevik +1
It has always been conventionally understood that, in the dilute limit, the Casimir energy of interaction between bodies or the Casimir self-energy of a dielectric body could be id…
Casimir forces in inhomogeneous media: renormalization and the principle of virtual work
Yang Li, Kimball A. Milton, Xin Guo +2
We calculate the Casimir forces in two configurations, namely, three parallel dielectric slabs and a dielectric slab between two perfectly conducting plates, where the dielectric m…
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…
Quantum Electromagnetic Stress Tensor in an Inhomogeneous Medium
Prachi Parashar, Kimball A. Milton, Yang Li +4
Continuing a program of examining the behavior of the vacuum expectation value of the stress tensor in a background which varies only in a single direction, we here study the elect…
Casimir Energies for Isorefractive or Diaphanous Balls
Kimball Milton, Iver Brevik
It is familiar that the Casimir self-energy of a homogeneous dielectric ball is divergent, although a finite self-energy can be extracted through second order in the deviation of t…
Renormalization for a Scalar Field in an External Scalar Potential
S. A. Fulling, T. E. Settlemyre, K. A. Milton
The Pauli--Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantiz…
Electromagnetic -function sphere
Prachi Parashar, Kimball A. Milton, K. V. Shajesh +1
We develop a formalism to extend our previous work on the electromagnetic -function plates to a spherical surface. The electric () and magnetic () couplings to the sur…
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…
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…
How does Casimir energy fall? IV. Gravitational interaction of regularized quantum vacuum energy
K. A. Milton, K. V. Shajesh, S. A. Fulling +1
Several years ago we demonstrated that the Casimir energy for perfectly reflecting and imperfectly reflecting parallel plates gravitated normally, that is, obeyed the equivalence p…
Casimir torque in weak coupling
Kimball A. Milton, Prachi Parashar, William Long
In this paper, dedicated to Johan Høye on the occasion of his 70th birthday, we examine manifestations of Casimir torque in the weak-coupling approximation, which allows exact calc…
Investigations of the torque anomaly in an annular sector. II. Global calculations, electromagnetic case
Kimball A. Milton, Prachi Parashar, E. K. Abalo +2
Recently, it was suggested that there was some sort of breakdown of quantum field theory in the presence of boundaries, manifesting itself as a torque anomaly. In particular, Fulli…
Investigations of the torque anomaly in an annular sector. I. Global calculations, scalar case
Kimball A. Milton, Fardin Kheirandish, Prachi Parashar +5
In an attempt to understand a recently discovered torque anomaly in quantum field theory with boundaries, we calculate the Casimir energy and torque of a scalar field subject to Di…
Casimir interaction energies for magneto-electric δ-function plates
Kimball A. Milton, Prachi Parashar, Martin Schaden +1
We present boundary conditions for the electromagnetic fields on a δ-function plate, having both electric and magnetic properties, sandwiched between two magneto-electric semi-infi…
Electromagnetic semitransparent -function plate: Casimir interaction energy between parallel infinitesimally thin plates
Prachi Parashar, Kimball A. Milton, K. V. Shajesh +1
We derive boundary conditions for electromagnetic fields on a -function plate. The optical properties of such a plate are shown to necessarily be anisotropic in that they only d…
Thermal Issues in Casimir Forces Between Conductors and Semiconductors
K. A. Milton, Iver Brevik, Simen A. Ellingsen
The Casimir effect between metal surfaces has now been well-verified at the few-percent level experimentally. However, the temperature dependence has never been observed in the lab…
PT-Symmetric Quantum Electrodynamics and Unitarity
Kimball A. Milton, E. K. Abalo, Prachi Parashar +2
More than 15 years ago, a new approach to quantum mechanics was suggested, in which Hermiticity of the Hamiltonian was to be replaced by invariance under a discrete symmetry, the p…