Semiclassical estimates of electromagnetic Casimir self-energies of spherical and cylindrical metallic shells

Schaden, Martin

doi:10.1103/physreva.82.022113

Cited by 8 publications

(3 citation statements)

References 97 publications

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“…The effect of periodic orbits is not limited to finite systems: the Casimir energy in quantum field theory [87,88], critical phenomena [89,90], and strongly interacting infinite inhomogeneous systems, e.g., nuclear pasta phase in neutron stars [91][92][93][94][95][96][97], can also be explained and calculated to high precision by evaluating the contributions from periodic orbits. This method has become the standard approach for evaluating the Casimir energy in a variety of fields [98][99][100][101][102].…”

Section: (2b)mentioning

confidence: 99%

Minimal nuclear energy density functional

et al. 2018

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We present a minimal nuclear energy density functional (NEDF) called "SeaLL1" that has the smallest number of possible phenomenological parameters to date. SeaLL1 is defined by 7 significant phenomenological parameters, each related to a specific nuclear property. It describes the nuclear masses of even-even nuclei with a mean energy error of 0.97 MeV and a standard deviation 1.46 MeV, two-neutron and two-proton separation energies with rms errors of 0.69 MeV and 0.59 MeV respectively, and the charge radii of 345 even-even nuclei with a mean error r = 0.022 fm and a standard deviation σ r = 0.025 fm. SeaLL1 incorporates constraints on the equation of state (EoS) of pure neutron matter from quantum Monte Carlo calculations with chiral effective field theory two-body (NN) interactions at next-to-next-to-next-to leading order (N2LO) level and three-body (NNN) interactions at the next-to-next-to leading order (N2LO) level. Two of the seven parameters are related to the saturation density and the energy per particle of the homogeneous symmetric nuclear matter, one is related to the nuclear surface tension, two are related to the symmetry energy and its density dependence, one is related to the strength of the spin-orbit interaction, and one is the coupling constant of the pairing interaction. We identify additional phenomenological parameters that have little effect on ground-state properties, but can be used to fine-tune features such as the Thomas-Reiche-Kuhn sum rule, the excitation energy of the giant dipole and Gamow-Teller resonances, the static dipole electric polarizability, and the neutron skin thickness.

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Section: (2b)mentioning

confidence: 99%

Minimal nuclear energy density functional

et al. 2018

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“…nuclear pasta phase in neutron stars Magierski, 2001, 2002;Bulgac et al, 2005Bulgac et al, , 2006Magierski et al, 2003;Magierski and Bulgac, 2004b;Magierski and Heenen, 2002b;Yu et al, 2000), can also be explained and calculated to high precision by evaluating the contributions from periodic orbits. This method has become the standard for evaluating the Casimir energy in a variety of fields (Bordag and Pirozhenko, 2010;Canaguier-Durand et al, 2010;Graham, 2014;Rahi et al, 2009;Schaden, 2010).…”

Section: Introductionmentioning

confidence: 99%

Nuclear Energy Density Functionals: What do we really know?

Bulgac,

Forbes,

Jin

2015

Preprint

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We present the simplest nuclear energy density functional (NEDF) to date, determined by only 4 significant phenomenological parameters, yet capable of fitting measured nuclear masses with better accuracy than the Bethe-Weizsäcker mass formula, while also describing density structures (charge radii, neutron skins etc.) and time-dependent phenomena (induced fission, giant resonances, low energy nuclear collisions, etc.). The 4 significant parameters are necessary to describe bulk nuclear properties (binding energies and charge radii); an additional 2 to 3 parameters have little influence on the bulk nuclear properties, but allow independent control of the density dependence of the symmetry energy, excitation energy of isovector excitations, and the Thomas-Reiche-Kuhn sum rule. This Hohenberg-Kohn-style of density functional theory (DFT) successfully realizes Weizsäcker's ideas and provides a computationally tractable model for a variety of static nuclear properties and dynamics, from finite nuclei to neutron stars, where it will also provide a new insight into the physics of the r-process, nucleosynthesis, neutron star crust structure, and neutron star mergers. This new NEDF clearly separates the bulk geometric properties -volume, surface, symmetry, and Coulomb energies which amount to ∼ 8 MeV per nucleon or up to ∼ 2000 MeV per nucleus for heavy nuclei -from finer details related to shell effects, pairing, isospin breaking, etc. which contribute at most a few MeV for the entire nucleus. Thus it provides a systematic framework for organizing various contributions to the NEDF. Measured and calculated physical observables -i.e. symmetry and saturation properties, the neutron matter equation of state, and the frequency of giant dipole resonances -lead directly to new terms, not considered in current NEDF parameterizations.

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“…The Casimir calculations for nonflat boundaries turned out to be much more involved in comparison with those for planes [20]. Especially complicated calculations have been done for a circular cylinder [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. It was also unclear that what kinds of electromagnetic excitations have been taken into account in these studies [39].…”

Section: Introductionmentioning

confidence: 99%

Surface modes and photonic modes in Casimir calculations for a compact cylinder

Nesterenko¹

2008

J. Phys. A: Math. Theor.

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A rigorous formulation of the problem of calculating the electromagnetic vacuum energy of an infinite dielectric cylinder is discussed. It is shown that the physically relevant spectrum of electromagnetic excitations includes the surface modes and photonic modes. The mathematical procedure of summing over this spectrum is proposed, and the transition to imaginary frequencies is accomplished. As a result, it is justified the imaginary-frequency representation for the vacuum energy which has been used in previous Casimir studies for this configuration.

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Semiclassical estimates of electromagnetic Casimir self-energies of spherical and cylindrical metallic shells

Cited by 8 publications

References 97 publications

Minimal nuclear energy density functional

Minimal nuclear energy density functional

Nuclear Energy Density Functionals: What do we really know?

Surface modes and photonic modes in Casimir calculations for a compact cylinder

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