Inverse Problems in the Theory of Small Oscillations is popular PDF and ePub book, written by Vladimir Marchenko in 2018-12-12, it is a fantastic choice for those who relish reading online the Frequencies of oscillating systems genre. Let's immerse ourselves in this engaging Frequencies of oscillating systems book by exploring the summary and details provided below. Remember, Inverse Problems in the Theory of Small Oscillations can be Read Online from any device for your convenience.
Inverse Problems in the Theory of Small Oscillations Book PDF Summary
Inverse problems of spectral analysis deal with the reconstruction of operators of the specified form in Hilbert or Banach spaces from certain of their spectral characteristics. An interest in spectral problems was initially inspired by quantum mechanics. The main inverse spectral problems have been solved already for Schrödinger operators and for their finite-difference analogues, Jacobi matrices. This book treats inverse problems in the theory of small oscillations of systems with finitely many degrees of freedom, which requires finding the potential energy of a system from the observations of its oscillations. Since oscillations are small, the potential energy is given by a positive definite quadratic form whose matrix is called the matrix of potential energy. Hence, the problem is to find a matrix belonging to the class of all positive definite matrices. This is the main difference between inverse problems studied in this book and the inverse problems for discrete analogues of the Schrödinger operators, where only the class of tridiagonal Hermitian matrices are considered.
Detail Book of Inverse Problems in the Theory of Small Oscillations PDF
- Author : Vladimir Marchenko
- Release : 12 December 2018
- Publisher : American Mathematical Soc.
- ISBN : 9781470448905
- Genre : Frequencies of oscillating systems
- Total Page : 158 pages
- Language : English
- PDF File Size : 7,9 Mb
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