**Spectra of Finite Systems – a Review od Weyl’s Problem, The Eigenvalue Distribution of the Wave Equation for Finite Domains and its Applications on the Physics of Small Systems**

**ISBN/ASIN**: *3411014911,9783411014910* | *1976* | *English* | *djvu* | *112/112* pages | *0.91* Mb**Publisher**: *Bibliographisches Institut Mannheim* | **Author**: *Heinrich P. Baltes* | **Edition**: *1*

This book reviews the recent progress in the calculation of the asymptotic

distribution of the eigenvalues for the wave equation in the limit of large

wavenumbers (Weyl's problem). It presents both the analytical and com-

putational methods and, particularly, smoothing procedures. The authors

consider a variety of boundary conditions and the corresponding applica-

tions in the physics of finite systems-acoustics of finite resonators and

elastic vibrations of finite samples, perfect quantum gases in finite en-

closures, nuclei in terms of the independent particle model, electro-

magnetism and black-body radiation in finite cavities, together with the

corresponding correlation functions, as well as size-, surface-, and shape-

effects in various branches of the physics of condensed matter. The

validity of the concept of the density of states in statistical mechanics

and of the underlying asymptotic expansions for finite eigenvalue regimes

is discussed.