354
Index
Fresnel approximation, 199
Fresnel–Kirchoff relation, 197
Generating function for a canonical transformation, 112
Golden rule, 269
Green’s function, 191, 258
Group velocity, 149
Hamilton’s characteristic function, 114, 170
Hamilton’s equations of motion,
42, 110
Hamilton’s principal function,
113, 167
Hamilton’s principle of least action, 23
Hamilton–Jacobi equation, 167
Hamilton–Jacobi theory, 109
Hamiltonian, 168
Hamiltonian function, 26
Heisenberg uncertainty principle, 151
Heisenberg’s uncertainty principle, 229
Helmholtz equation, 191
Herschel’s condition, 40
Huygens’ principle, 186
Illumination, coherent, 210
Illumination, incoherent, 210
Image force, 300
Index of refraction, 32, 46
Inelastic scattering, 234, 272
Intensity point spread function,
88
Interference, 147, 188, 229
Kinematics of scattering, 236
Klein–Gordon equation, 179
Lab frame, 22, 236
Lagrange invariant, 36
Lagrangian, 21, 23, 163
Law of Helmholtz–Lagrange, 38
Legendre transformation, 26,
40, 112
Lens, thin, 56
Lens, weak, 56
Liouville’s theorem, 43
Lorentz force, 25
Lorentz transformation, 25
Markov’s method of random
flights, 101
Modulation transfer function,
219
Momentum space, 146
Momentum, canonical, 26, 168
Momentum, kinetic, 25, 54
Monte Carlo simulation, 95
Natural units, 49
Operators in quantum mechanics, 125
Optical transfer function, 219
Optical transformation, 210
Orthonormality of eigenfunctions, 132
Paraxial approximation, 55
Parseval’s theorem, 146, 334
Particle scattering, 233
Path integral formulation of
quantum mechanics, 158
Periodic boundary conditions,
131
Index
Fresnel approximation, 199
Fresnel–Kirchoff relation, 197
Generating function for a canonical transformation, 112
Golden rule, 269
Green’s function, 191, 258
Group velocity, 149
Hamilton’s characteristic function, 114, 170
Hamilton’s equations of motion,
42, 110
Hamilton’s principal function,
113, 167
Hamilton’s principle of least action, 23
Hamilton–Jacobi equation, 167
Hamilton–Jacobi theory, 109
Hamiltonian, 168
Hamiltonian function, 26
Heisenberg uncertainty principle, 151
Heisenberg’s uncertainty principle, 229
Helmholtz equation, 191
Herschel’s condition, 40
Huygens’ principle, 186
Illumination, coherent, 210
Illumination, incoherent, 210
Image force, 300
Index of refraction, 32, 46
Inelastic scattering, 234, 272
Intensity point spread function,
88
Interference, 147, 188, 229
Kinematics of scattering, 236
Klein–Gordon equation, 179
Lab frame, 22, 236
Lagrange invariant, 36
Lagrangian, 21, 23, 163
Law of Helmholtz–Lagrange, 38
Legendre transformation, 26,
40, 112
Lens, thin, 56
Lens, weak, 56
Liouville’s theorem, 43
Lorentz force, 25
Lorentz transformation, 25
Markov’s method of random
flights, 101
Modulation transfer function,
219
Momentum space, 146
Momentum, canonical, 26, 168
Momentum, kinetic, 25, 54
Monte Carlo simulation, 95
Natural units, 49
Operators in quantum mechanics, 125
Optical transfer function, 219
Optical transformation, 210
Orthonormality of eigenfunctions, 132
Paraxial approximation, 55
Parseval’s theorem, 146, 334
Particle scattering, 233
Path integral formulation of
quantum mechanics, 158
Periodic boundary conditions,
131