VIBRATIONS OF SOLIDS IN TERMS OF QUANTUM EQUATIONS OF ELASTICITY

被引：0

作者：

KALISKI, S ^{[1
]}

机构：

[1] POLISH ACAD SCI,INST FUNDAMENTAL TECH RES,DEPT MECH CONTINUOUS MEDIA,PL-00049 WARSAW,POLAND

来源：

BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES | 1976年 / 24卷 / 06期

关键词：

ELASTICITY - MATHEMATICAL TECHNIQUES - Eigenvalues and Eigenfunctions - QUANTUM THEORY;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The problem of natural vibrations is solved for a rectangular parallelepiped and a plate, on the basis of equations of the theory of elasticity, taking into consideration the linearized quantum effects which are introduced by the methods of ″classical″ approach to quantum mechanics. The eigenvalues of the boundary value problems are calculated. It is shown that in the extreme cases of long and short waves the solutions become either the classical formulae of elasticity or solutions for the potential hole in quantum mechanics.

引用

页码：451 / 462

页数：12

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