Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página viii
... SYSTEMS WITH AN INFINITE NUMBER OF DEGREES OF FREEDOM Chapter 7 The Transition to 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 ...
... SYSTEMS WITH AN INFINITE NUMBER OF DEGREES OF FREEDOM Chapter 7 The Transition to 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 ...
Página 85
Gerald Goertzel, Nunzio Tralli. CHAPTER 7 The Transition to Continuous Systems 7.1 Introduction The theory of n - dimensional vector spaces developed in Part One was devised to treat systems with a finite number of degrees of freedom ...
Gerald Goertzel, Nunzio Tralli. CHAPTER 7 The Transition to Continuous Systems 7.1 Introduction The theory of n - dimensional vector spaces developed in Part One was devised to treat systems with a finite number of degrees of freedom ...
Página 96
Gerald Goertzel, Nunzio Tralli. CHAPTER 8 Operators in Continuous Systems 8.1 Introduction In the last chapter there were indications as to how one might extend the matrix concepts of Part One to continuous systems . In the present ...
Gerald Goertzel, Nunzio Tralli. CHAPTER 8 Operators in Continuous Systems 8.1 Introduction In the last chapter there were indications as to how one might extend the matrix concepts of Part One to continuous systems . In the present ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх