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20062026
most citedAttractive and Repulsive Casimir Vacuum Energy with General Boundary Conditions

93 citations · 608 across the 34 of their papers we have counts for

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math-ph2020

Some recent results on contact or point supported potentials

Luis M. Nieto, Manuel Gadella, Juan M. Mateos-Guilarte +2

We introduced some contact potentials that can be written as a linear combination of the Dirac delta and its first derivative, the - interaction. After a simple general pres…

math-ph2019★ 8 cited

Free energy and entropy for finite temperature quantum field theory under the influence of periodic backgrounds

M. Bordag, J. M. Muñoz-Castañeda, L. Santamaría-Sanz

The basic thermodynamic quantities for a non-interacting scalar field in a periodic potential composed of either a one-dimensional chain of Dirac - functions or a spec…

math-ph2019★ 3 cited

Revisiting the Casimir Energy with General Boundary Conditions, and applications in 1D Crystals

J. M. Muñoz-Castañeda, M. Bordag, L. Santamaría-Sanz

We obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory…

math-ph2019★ 11 cited

Band spectra of periodic hybrid - structures

M. Gadella, J. M. Mateos Guilarte, J. M. Muñoz-Castañeda +2

We present a detailed study of a generalised one-dimensional Kronig-Penney model using potentials. We analyse the band structure and the density of states in two situ…

math-ph2019★ 3 cited

Casimir pistons with generalized boundary conditions: a step forward

Guglielmo Fucci, Klaus Kirsten, Jose M. Munoz-Castaneda

In this work we study the Casimir effect for massless scalar fields propagating in a piston geometry of the type where is an interval of the real line and is a…

math-ph2019★ 18 cited

One-dimensional scattering of fermions on -impurities

J. Mateos Guilarte, Jose M. Munoz-Castaneda, Irina Pirozhenko +1

We study the spectrum of the 1D Dirac Hamiltonian encompassing the bound and scattering states of a fermion distorted by a static background built from -function potentials. We…