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Beard D.B. — Quantum Mechanics
Beard D.B. — Quantum Mechanics



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Íàçâàíèå: Quantum Mechanics

Àâòîð: Beard D.B.

Àííîòàöèÿ:

This book was written with the aim of providing an alternative to the postulatory approach currently used in many introductory quantum mechanics courses. Thus the first chapters are designed to familiarize the reader with the mathematical treatment and particular properties of ordinary wave motion which apply also to particle motion and have crucial importance to the subsequent development of the subject. The close relation of quantum theory to physical optics is stressed, and by use of Feynman's derivation of quantum mechanics, the wave theory for particles is made to appear as inevitable and necessary as Huygens wave theory for light.


ßçûê: en

Ðóáðèêà: Ôèçèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 1970

Êîëè÷åñòâî ñòðàíèö: 309

Äîáàâëåíà â êàòàëîã: 16.04.2010

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Absorption, radiation      190—192
Absorption, radiation with ionization      203—205
Absorption, rate per unit volume      199
Action, classical      56
Alpha particle decay      91 92 122
Amplitude      see "Probability amplitude"
Angular momentum and spin addition      259 260
Angular momentum, addition of      254—260
Angular momentum, commutation relations      136—138
Angular momentum, eigenvalues      132—133 140
Angular momentum, light      194—195
Angular momentum, matrix representation      235—238
Angular momentum, operators      130—132
Angular wave functions in spherical coordinates      127—129
Antisymmetric spin state      246
Antisymmetric wave function      246
Antisymmetric wave function, first excited state of helium atom      221—222
Approximation, Born scattering cross-sections      269—279
Approximation, slowly varying potential (semiclassical)      110—117
Approximation, time dependent perturbation theory      184—198
Approximation, time independent perturbation theory      161—175
Approximation, variational method      179—182
Approximation, Wentzel — Kramers — Brillouin (WKB)      110—117
Associated Laguerre functions      148
Associated Legendre functions      127—129 134—136 139
Associated spherical harmonics      126—129
Atomic excitation by ion bombardment      188—190
Atomic excitation, radiative absorption      190—192
Atomic form factor      278 279
Average energy of mode of oscillation      8—12
Average value      68
Azimuthal angular wave function      127
Babinet's theorem      268
Balmer formula      148 149
Band theory of metals      99—106
Barrier penetration, square barrier      85—92
Barrier penetration, WKB approximation      121—123
Bessel function, one-half order      142—145
Bessel function, one-third order      113 114
Bessel function, spherical      142—145
Beta-decay, conservation of parity      252—254
BKW approximation      110—117 see
Bloch wave function      102—104
Bohr — Sommerfeld quantum conditions      117—120
Bohr, Niels, atomic orbits      46
Bohr, Niels, description of light diffraction      41
Bohr, Niels, frequency condition      187
Boltzmann constant      8
Born approximation      269—279
Bound particles in a square well      94—98
boundary conditions      4 12
Bra-vector      216—217
Bragg x-ray diffraction      46
Center of mass coordinates      78—81
Center of mass motion equation      80
Characteristic functions      13 see
Characteristic values      13 see
Chemical binding      208—209
Classical action      56
Classical path taken by particle or light ray      111
Clebsch — Gordon coefficients      254—260
Commutation relations      71—76
Commutation relations between coordinate and momentum      72
Commutation relations, angular momentum      136—138
Commutation relations, spin      243
Commutator      72
Commuting operators, diagonal representation      238—245
Complementary variables      16 34
Complete set      158 159
Compton effect      36—38
Compton wavelength      38
Continuity equation      77 78
Cosine series      17—19
Coulomb integrals      218 219
Coulomb integrals, hydrogen molecule      224—225
Coulomb potential, scattering cross-section      275 276
Currents, particles      77 78
Davisson — Germer experiment      45 46 49—52
de Broglie wavelength      46
Degeneracy in spherical harmonic oscillator      154
Degenerate perturbation theory      171—175
Degenerate perturbation theory, harmonic oscillators      213—216
Degenerate perturbation theory, helium atom, first excited state      218—222
Degenerate perturbation theory, hydrogen molecule      222—226
Delta-function, Dirac      21
Delta-function, Kronecker      17
Deuteron      97 98
Diagonal operators, commutation of      238
Diagonalization of an operator      234
Diffraction, electrons      45—46 49—52
Diffraction, light (interference of photons)      38—41 52—54
Diffraction, particles      45 46 54—58
Dipole transitions      192—196
Dirac delta-function      21
Dirac notation      216 217
Eckart — Bethe potential      118—120
Effective range      293—294 296
Eigenfunctions      13
Eigenvalues      13 67
Eigenvalues, angular momentum      132 133 140
Einstein A and B coefficients      198—200
Electromagnetic waves in a box      1—6 see
Electron, angular momentum operator      244—245
Electron, diffraction      45—52
Electron, emission from metals      122 123
Electron, interaction in atoms, general discussion      227—230
Electron, wave functions and energies in a metal      99—106
Emission of radiation      198—200
Energy levels, atomic      148
Energy levels, bound particle in a potential      111
Energy levels, degenerate perturbation theory      171—175
Energy levels, harmonic oscillator, linear      155
Energy levels, harmonic oscillator, spherical      153 154
Energy levels, hydrogen      148
Energy levels, nuclear potential      118—120 154
Energy levels, splitting due to mutual repulsion of electrons      178
Energy levels, splitting due to mutual repulsion of electrons, helium atom      217—222
Energy levels, splitting due to spin orbit force      176—178
Energy levels, square well, spherical      145
Energy operator      68
Exchange integrals      218 219
Exchange integrals, hydrogen molecule      224—225
Exchange operation      245—246
Excitation, atomic by ion bombardment      188—190
Excitation, atomic by radiation      190—192
Exclusion principle, Pauli      247
Expectation      68—70
Expectation of coordinates      68
Expectation of coordinates, time derivative      74 75
Expectation of operator      72
Expectation, energy      73
Expectation, momentum operator      69
Expectation, momentum operator, derivative      75
Expectation, time derivative      73 74
Expected value      68
Fermat's principle      111
Fermi level, Fermi energy      102
Fermi scattering length      288 296
Fine structure      175—178
Fine structure, hydrogen atom      176—178
Form factor, atomic      278 279
Fourier series      17—19
Fourier transform      20—26 271—273
Fourier transform, Gaussian distribution function      24—30
Franck and Hertz experiment      35 36
Frequency spread and time duration      23—26
Gaussian distribution, Fourier transform      20 30
Gaussian wave packet      29 30 65 66
Group velocity      28 65 66
Hamilton's principle function      56 111
Hamiltonian      69
Harmonic oscillator, coupled, classical      209—211
Harmonic oscillator, coupled, quantum mechanical      212—216
Harmonic oscillator, linear      155
Harmonic oscillator, selection rules      196 197
Harmonic oscillator, spherical      150—154
Heisenberg uncertainty principle      see "Uncertainty principle"
Heitler — London theory, calculation of the hydrogen molecule      222—226
Helium atom, first excited state      217—222
Helium atom, ground state, first order perturbation theory      164—168
Helium atom, ground state, variational method      181 182
Hermite polynomials      154
Hermitian operators      75 76
Hund's rule      248 249
Hydrogen atom      146—150
Hydrogen atom, fine structure      176—178
Hydrogen atom, selection rules      197 198
Hydrogen atom, wave functions      146 148
hydrogen molecule      222—226
Indices of refraction, particles and light      65
Induced emission      200
Interference of photons      38—41
j-j coupling      230
Ket-vector      217
Kronecker delta      17
Kronnig — Penney potential      102—106
L*S coupling      175—178 229 230
Lagrangian      56
Laguerre functions and polynomials      148
Legendre polynomials      see "Associated Legendre functions"
Lienard — Wiechart retarded potential      270—272
Light, angular momentum      194 195
Light, probability amplitude      52—54
Linear independence      171
London — Heitler theory of hydrogen molecule      222—226
Matrices, spin      242—245
Matrix representation, angular momentum      235—238
Matrix representation, operators on eigenfunctions      232—234 235
Maxwell — Boltzmann energy distribution      8
Maxwell's equations      2
Microscope experiment      41—43
Momentum operator      68 70
Momentum transfer      273
Mott scattering      280—281
Neutron-proton scattering cross-section      277
Newton's second law, quantum mechanical version      75
Normalization of wave functions      158
Nuclear potential      118—120
Nuclear potential, energy levels      117—120 154
Nuclear potential, wave functions in a harmonic oscillator potential      151—155
Nuclear potential, wave functions in a square well      141—145
Observables, physical      67—71 75 76
Octupole transition      195
Operation      12
Operator      12 67—71
Operator, angular momentum      130—132
Operator, diagonalization      234
Operator, energy      68
Operator, hermitian      75 76
Operator, matrix representation      232 234 235
Operator, momentum      68 70
Operator, position      71
Optical analogue of quantum mechanics      90 91
Orthogonal functions      16 17
Orthogonality      16 17
Orthogonality of wave functions      158—161
Orthogonality of wave functions, degenerate      171—172
Orthogonalization of eigenfunctions belonging to a degenerate energy level      171 172
oscillators      see "Harmonic oscillators"
Oscillators, coupled, classical      209—212
Oscillators, coupled, quantum mechanical      212—216
Parity      249—254
Parity of eigenfunctions      232
Parity, angular momentum and spin      250
Parity, conservation      250—254
Parity, conservation, beta decay      252—254
Partial waves, scattering theory      281—288
Particle, current density      77 78
Particle, probability amplitudes      54—58
Particle, wave characteristics of      41—43
Particle, wave packet      65 66
Particle, waves      64—66
Pauli exclusion principle      247
Pauli theory of spin (spin matrices)      242—245
Penetration through a barrier, square barrier      85—92
Penetration through a barrier, WKB approximation      121—123
Perturbation theory, degenerate      171—175
Perturbation theory, degenerate, harmonic oscillators      213—216
Perturbation theory, degenerate, helium atom, first excited state      218—222
Perturbation theory, time dependent, first order      184—187
Perturbation theory, time dependent, second order      201—203
Perturbation theory, time independent, first order      161—164
Perturbation theory, time independent, second order      169—170
phase velocity      28
Photolectric effect      35 45
photons      33—40
Photons, diffraction and interference      38—41
Photons, probability amplitude      52—54
Planck black body distribution      9 11
Planck's constant      10 11
Plane wave in a string      299—301
Plane wave, expansion in complete orthonormal set      284
Plane wave, expansion in set of spherical harmonic wave functions      195
Position operator      71
Probability amplitude, light      52—54
Probability amplitude, particle      54—58
Probability in volume of momentum space      71
Pseudoscalars      252—253
Pseudovectors      252
Quadrupole transition      195
Quanta      33—40
Radiation, Energy density      8—12
Radiation, number of modes of vibration      6—7
Radiation, pressure      36 37
Radiation, transitions      190—192
Ramsauer effect      93 94
Rayleigh — Jean's law      9
Reduced mass      79
Reduced mass, effect in scattering cross-sections      274
Refraction index      65
Relative motion equation      80
Resonance classical      207 208 211 212
Resonance integrals      218 219 224 225
Resonance, energy      220—221
Resonance, helium atom, first excited state      218—222
Resonance, quantum mechanical oscillators      212—216
Rigid rotator      139 140
Russell — Saunders coupling      230 249
Rutherford's experiment      44
Scattering cross-sections      263—265
Scattering cross-sections, alpha particles      279
Scattering cross-sections, atomic by the Born approximation      277—279
Scattering cross-sections, Born approximation      269—279
Scattering cross-sections, classical limit      290
Scattering cross-sections, constant potential by Born approximation      279
Scattering cross-sections, Coulomb potential by Born approximation      275—279
Scattering cross-sections, differential scattering cross-sections      264—265
Scattering cross-sections, effective range theory      291—296
Scattering cross-sections, Fermi scattering length      288 296
Scattering cross-sections, general formulation      268 269
Scattering cross-sections, identical particles      280—281
Scattering cross-sections, inelastic scattering      263 265 269
Scattering cross-sections, neutron scattering      266—268
Scattering cross-sections, neutron-proton      277
Scattering cross-sections, partial waves      281—288
Scattering cross-sections, particle waves of high angular momentum      288—290
Scattering cross-sections, path integral formulation      265—268
Scattering cross-sections, phase shift analysis      281—288
Scattering cross-sections, Scattering cross-sections, billiard ball collision by Born approximation      279
Scattering cross-sections, shadow      268 290
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