Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página viii
... Continuous Systems 7.1 Introduction 7.2 The RC Line - Change of Notation 7.3 The RC Line - Transition to the Continuous Case 7.4 Solution of the Discrete Problem 7.5 Solution in the Limit ( Continuous Problem ) 7.6 The Fourier Transform ...
... Continuous Systems 7.1 Introduction 7.2 The RC Line - Change of Notation 7.3 The RC Line - Transition to the Continuous Case 7.4 Solution of the Discrete Problem 7.5 Solution in the Limit ( Continuous Problem ) 7.6 The Fourier Transform ...
Página 85
... continuous systems . Two examples of continuous systems are the finite transmission line with uniformly distributed constants and the vibrating string . The methods of Part One require modification if they are to be used in the study of ...
... continuous systems . Two examples of continuous systems are the finite transmission line with uniformly distributed constants and the vibrating string . The methods of Part One require modification if they are to be used in the study of ...
Página 89
... ( Continuous Problem ) In the work below , the process of solution given in Sec . 7.4 is repeated . Then , one step at a time , the limit is taken as Ax → 0 to compare with ... CONTINUOUS SYSTEMS 89 Solution in the Limit (Continuous Problem)
... ( Continuous Problem ) In the work below , the process of solution given in Sec . 7.4 is repeated . Then , one step at a time , the limit is taken as Ax → 0 to compare with ... CONTINUOUS SYSTEMS 89 Solution in the Limit (Continuous Problem)
Contenido
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
Derechos de autor | |
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analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх