Journal ArticleDOI
Distribution of eigenfrequencies for the wave equation in a finite domain. i. three-dimensional problem with smooth boundary surface.
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In this paper, the distribution of eigenvalues of the equation Δϕ + Eϕ = 0 is calculated for a volume V of arbitrary shape, and for the general boundary condition ∂ϕ ∂n = κϕ on the surface S, assumed to be smooth.About:
This article is published in Annals of Physics.The article was published on 1970-10-01. It has received 552 citations till now. The article focuses on the topics: Dirichlet boundary condition & Boundary value problem.read more
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Funny Hills: The Shell-Correction Approach to Nuclear Shell Effects and Its Applications to the Fission Process
Matthias Brack,Jørgen Damgaard,Aksel Karl Georg Jensen,H. C. Pauli,V.M. Strutinsky,Cheuk-Yin Wong +5 more
TL;DR: In this paper, the authors reviewed various results related to the single-particle structure in spherical and deformed nuclei, discussed from the viewpoint of the so-called shell-correction method.
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Heat kernel expansion: user's manual
TL;DR: The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective action as discussed by the authors, and the heat kernel coefficients are given in terms of several geometric invariants.
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Electronic structure of quantum dots
Stephanie Reimann,M. Manninen +1 more
TL;DR: In this paper, the properties of quasi-two-dimensional semiconductor quantum dots are reviewed, and the formation of the so-called maximum-density droplet and its edge reconstruction is discussed.
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The Casimir effect
TL;DR: In this paper, the Casimir effect in quantum field theory and its applications is introduced and discussed in detail for specific field configurations, including supercritical fields, QCD bag models and electromagnetic media.
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The Schrödinger functional — a renormalizable probe for non-abelian gauge theories
TL;DR: In this paper, the Schrodinger functional in lattice gauge theories without matter fields has a well-defined continuum limit and can be used to study the scaling properties of the theory and in particular the evolution of the renormalized gauge coupling.
References
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Nuclear constitution and the interpretation of fission phenomena
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Can One Hear the Shape of a Drum
TL;DR: Can one hear the shape of a drum? as discussed by the authors, 1966; The American Mathematical Monthly: Vol. 73, No. 4P2, pp. 1-23.
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Nuclear masses and deformations
W.D. Myers,W.J. Swiatecki +1 more
TL;DR: In this article, a semi-empirical theory of nuclear masses and deformations is presented, where the potential energy of a nucleus, considered as a function of N, Z and the nuclear shape, is given by the liquid-drop model, modified by a shell correction.
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A study of certain Green's functions with applications in the theory of vibrating membranes
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On hearing the shape of a drum
TL;DR: In this paper, the shape of a vibrating membrane given all its characteristic frequencies is discussed using a regular array of interacting atoms as a discrete model of a membrane in contrast to the continuum model analyzed recently by Kac.