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Greiner W. — Relativistic quantum mechanics. Wave equations
Greiner W. — Relativistic quantum mechanics. Wave equations

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Название: Relativistic quantum mechanics. Wave equations

Автор: Greiner W.

Аннотация:

Relativistic Quantum Mechanics. Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-center Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course.This third edition has been slightly revised to bring the text up-to-date.


Язык: en

Рубрика: Физика/Общие курсы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 2000

Количество страниц: 424

Добавлена в каталог: 09.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Group-parameter      139
Gupta, Suraj Narayan      388
Gyromagnetic factor (g factor)      125
Half-density radius      55 252ff
Hamilton function, classical      12
Hamiltonian      285
Hamiltonian density      17
Hamiltonian density of the Schroedinger equation      19
Hamiltonian in $\Phi$ representation      279
Hamiltonian of the Schroedinger equation      19
Hankel function      56
Hankel function of the first kind      57
Hartree — Fock model      261
Heavy-ion accelerators      261
Heisenberg picture      68
Heisenberg representation of the Dirac equation      118
Heisenberg, Werner Karl      98
Helicity      28 109 342
Helicity, operator      110 335
Hermiticity, generalized      36
Hermiticity, ordinary      36
Hole theory      118 291ff
Hole theory and Klein's paradox      329
Homogeneous proper groups      402
Homogeneous proper groups, tensor representation      402
Hydrogen atom      290
Hylleraas basis      263
Hypercharge      28
Hyperfine structure of the muonic atoms      253
Imaginary potential      65
Impulse approximation      83 87
Infinitesimal operators      391
Infinitesimal transformation      390
Intertial system      127
Isomorphism      402
Isospin      28
Kaon spin      67
Kemmer algebra      362 370 371
Kemmer algebra, covariance of the      368ff
Kemmer equation      361ff
Kemmer equation, free      363
Kemmer, Nicholas      388
Kisslinger potential      65
Klein — Gordon equation      5
Klein — Gordon equation, Lorentz covariance of      5
Klein — Gordon equation, positive-energy and negative-energy solutions      5
Klein — Gordon equation, Schroedinger form of the      68
Klein — Gordon equation, Schroedinger formulation      23
Klein — Gordon field      10
Klein's paradox      325ff
Klein, Felix      415
Klein, Oskar Benjamin      97
Kummers' differential equation      63
Lagrange density      12
Lagrange density for the Klein — Gordon field      14
Lagrange density for the Weinberg — Shay — Good theory      381
Lagrange density of the free Dirac equation      111 114
Lagrange density of the Kemmer density      363
Lagrange density of the Kemmer theory      378
Lagrange density of the Proca equations      361 372
Lagrange formalism for the Klein — Gordon field      14
Lagrange function      12
Lagrange function, classical      12
Lagrange, Joseph Louis      97
Laguerre polynomials      64 263
Lamb shift      290
Laplace equation      96
Legendre polynomials      263
Lepton number      28
Lie group      391
Light cone in momentum space      158
Line element      127 390
Lippmann — Schwinger equations      86
Lorentz boost      396
Lorentz covariance of the Dirac equation      100
Lorentz covariance of the vector field theory      373
Lorentz force      124
Lorentz gauge      51
Lorentz group      397
Lorentz group, extended      398
Lorentz group, full      397
Lorentz group, homogeneous      390
Lorentz group, inhomogeneous      398
Lorentz group, orthochronous      398
Lorentz invariance      323
Lorentz metric      2
Lorentz rotation angle      143
Lorentz scalar      153
Lorentz transformation      127 137
Lorentz transformation, along the x axis      142
Lorentz transformation, antichronous      397
Lorentz transformation, finite      142
Lorentz transformation, improper      127 312 314 391
Lorentz transformation, infinitesimal      142
Lorentz transformation, infinitesimal special      395
Lorentz transformation, orthochronous      397
Lorentz transformation, orthogonality relations for      127
Lorentz transformation, proper      127 397
Lorentz — Lorenz correction      93
Lorentz — Lorenz effect      92
Lorentz, Hendrik Antoon      148
magnetic moment      254
Majorana representation      156
Majorana, Ettore      156
Many-electron systems      261
Many-particle picture      112
Mass of the electronic neutrino      333
Mass of the pion      45
Mass of the positron      292 299
Mass, Bargmann — Wigner particles      364
Mass-energy relation, relativistic      333
Maxwell equations      49 92 364ff 401
Maxwell equations, conformal invariance      401
Metric tensor, contravariant form      2
Metric tensor, covariant components      2
Minimal coupling      41 120 130 234 382
Minkowski space      390
Minkowski space, two-component spinors      406
Mixed tensors      392
Model for the vacuum      293
Molecular orbitals of two nuclei      261 262
Momentum density of the Schroedinger equation      20
Momentum fluxes of the Schroedinger equation      20
Momentum operator, conjugate of      72
Momentum operator, in the $\Phi$ representation      72
Monomials      404
Multiple scattering model      84
Multipole decomposition of the two-centre potential      269
Multipole expansion      267
Multipole moments      253
Multispinor      347
Multispinor of negative energy      351
Multispinor, Bargmann — Wigner      354 383
Muon number      28
Muon, mass of the      249
Muonic atoms      65 249
Muonic atoms, production of      249
Nabla dagger      129
Negative energy continuum      60
Neumann function      56
Neumann function, spherical      219
Neutrino      29 333
Neutrino current      336
Neutrino state      336
Neutrino, left-handed      340
Newton's classical equation      70
Noether theorem      16
Nonlocal potential      89
Nonrelativistic limit      256
Nonrelativistic limit of the Dirac equation      120
Nonrelativistic limit of the Klein — Gordon equation      7 26 50
Normal ordering      321
Normalization      42
Normalization box      9
Normalization condition for free Dirac spinors      166ff
Normalization of a continuum wave function      246
Normalization of a wave packet      189
Normalization of the Klein — Gordon field      25
Nuclear deformation in muonic atoms      252
Nuclear polarization      253
One-particle interpretation      68
One-particle operators      68
Operator of angular momentum      411
Operator of kinetic energy      264
Operator of time inversion      309
Operator, even      71 113 279
Operator, odd      71 113 279
Optical potential      87
Optical potential, higher-order correction      94
Orbital angular momentum      272
Ordinary scalar product      36
Orthogonal transformations      389ff
Orthogonal transformations, defining condition for      389
Orthogonal transformations, group of the four-dimensional, complex      389
Orthogonality relations      402
Orthogonality relations of the unit spinors      170
Orthonormality relations      111
Oscillator potential      53
Pair annihilation      292
Pair creation      55
Parity      272
Parity in the weak interaction      323
Parity invariance      313
Parity of the pion      67
Parity operator      210
Parity operator of the Kemmer theory      370
Parity transformation      312
Parity violation      333
Particle-antiparticle conjugation symmetry      28
Pauli equation      100 120
Pauli matrices      22 102 334 350
Pauli matrices, spin-1 analogues of the      374
Pauli principle      55 292
Pauli spinor      145
Pauli's fundamental theorem      132
Periodic system      262
Phase shift      203ff 222ff 259
Pion      8
pion condensate      58
Pion, spin of      67
Pion-nucleon forward scattering amplitude      90
Pionic atoms      45 53 65
Pionic deuteron atom      67
Poincare group, inhomogeneous Lorentz group      398
Poincare, Henri Jules      415
Poisson equation      55
Polar coordinates      79
Polarization of muons      254
Polarization of pions      254
Polarization vectors      295
Polarizibility      92
Position operator      121
Positron      112 182
Positron theory      322
Positron, polarized      176
Potential barrier      328
Potential resonance      199ff 224
Potential well, overcritical      200
Potential well, supercritical      203
Probability current density      104
probability density      148 168
Probability density of the Klein — Gordon equation      6
Probability interpretation      293
Proca equations      360ff
Proca equations, inhomogeneous      362
Projection operators      283 338
Projection operators for eigenstates with positive/negative energy      177
Projection operators for spin eigenstates (spin projection)      178ff
Projection operators on negative/positive energy states      113
Projection operators, properties of the      178
Prolate deformation      253
Prolate elliptic (spherical) coordinates      263
Quadrupole interaction      249
Quantized radiation field, fluctuation of the      290
Quantum electrodynamics      294
Quantum numbers      28
Quantum numbers, external      29
Quantum numbers, intrinsic      29
Quarks      382
Quasimolecular orbitals      262
Quasimolecules, superheavy      262
Radial differential equation      44
Radial wave functions of the Dirac equation      214
Radial wave functions, normalized      231
Radiation catastrophe      291
Rarita — Schwinger equation      386ff
Re-gauging      365
Recoil effect on muonic atoms      250ff
Reduced mass approximation for muonic atoms      250
Reflection coefficient      328
Reflection symmetry      339
Refractive index      93
Refractive index, complex      94
Renormalization      293
Renormalization in quantum electrodynamics      311
Representation, irreducible      403
Representation, reducible      403
Representation, scalar      403
Representation, spinor      403 408 410 414
Representation, tensor      403 407ff 410 414
Representation, vector      403
Repulsive potential      199ff
Resolvents      84
Resonance catastrophe      94
Retardation effect on muonic atoms      250
Rotation about the infinitesimal angle      395
Rotation operator      174
Scalar coupling      61 206
Scalar interaction      61
Scalar potential      234
Scale transformations      400
Scattering of pions at atomic nuclei      83
Scattering phase shifts of the continuum      222
Scattering states      200 207
Schiff — Snyder — Weinberg effect      59
Schiff, Leonard Isaac      98
Schroedinger equation      4
Schroedinger picture      68
Schroedinger type      131
Schroedinger, Erwin      97
Schwinger, Julian Seymour      388
Screening by electrons in muonic atoms      251
Screening potential, caused by electrons in muonic atoms      251
Self-energy      251ff 290
Self-representation      414
Self-representation of three-dimensional rotations      413
Separation ansatz      59
Sign operator      112 281
Single-electron two-centre problem, nonrelativistic      261
Single-electron two-centre problem, relativistic corrections of the      261
Single-particle interpretation      44
Single-particle interpretation, limits of the      124
Solution of the Klein — Gordon equation      39
Solution of the Proca equation      375
Sommerfeld's fine structure, constant      59 63
Sommerfeld's fine structure, formula      231 238
Space inversion      67 153 339
Space-time translation      398
Spatial inversion      314
Spatial reflection      149
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