Grosse H., Martin A. — Particle Physics and the Schroedinger Equation :: Электронная библиотека попечительского совета мехмата МГУ

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Grosse H., Martin A. — Particle Physics and the Schroedinger Equation

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Название: Particle Physics and the Schroedinger Equation

Авторы: Grosse H., Martin A.

Аннотация:

This monograph introduces modern developments on the bound state problem in SchrГ¶dinger potential theory and its applications in particle physics. The SchrГ¶dinger equation provides a framework for dealing with energy levels of N-body systems. It was a cornerstone of the quantum revolution in physics of the twenties but re-emerged in the eighties as a powerful tool in the study of spectra and decay properties of mesons and baryons. This book begins with a detailed study of two-body problems, including discussion of general properties, level ordering problems, energy level spacing and decay properties. Following chapters treat relativistic generalisations, and the inverse problem. Finally, 3-body problems and N-body problems are dealt with. Applications in particle and atomic physics are considered, including quarkonium spectroscopy. The emphasis throughout is on showing how the theory can be tested by experiment. Many references are provided.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 180

Добавлена в каталог: 17.11.2014

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Предметный указатель

Abel integral equation      107
asymptotic freedom      4 12
Atoms, alkaline      15 19 35 61 93
Atoms, muonic      2 13 17—19 35 47 48 61 62 89 93
Atoms, pionic      2 89
B-quark      3 73 137
Baryons      1 8 22 136 137 145
Birman — Schwinger bound      127
Bound states, absence of      155
Bound states, counting      126
Bound states, positive energy      25 126
C-quark      3 73 137
Chadan class      134
Chebyshev inequality      60 61 63 153 154
Darboux      33 149
Dipole matrix elements      67 82
Dirac equation      2 14 20—22 85 95 96
Dirac — Coulomb problem      90
Energy levels, order of      1 42
Energy levels, spacing of      5 56 59 80
Factorization method      90 91 146 149
Feynman — Hellmann theorem      26 54 59 68 86 108 142
Gauss's law      14 93
Gelfand — Levitan equation      103—105
Hartree approximation      2 15 19 35 36 93
Inverse problem      64 96 97 101 103 107—109 111 123
kinetic energy      8 27 49 59 67 68 70 72—77 89 111 121 124 127 141 142 155
Klein — Gordon equation      1 20 85—89 96
Ladder operators      51 52 90 92
Landau levels      49
Laplacian      12 14 20 31 32 34 36 56—58 60 63 68 74 79 81 87 89 92 93 123
Leptonic width      7 80
Lithium sequence      19
Mean square radius      67 68 73
Min-max principle      2 38 125

Moments      29 49 56—58 67 81 83 107 122 128 131 154
n-body problem      145
Omega baryon      8
One-dimensional problem      96 131 149
P-state splitting of $c\bar{c}$       20
Potential, confining      44 96 97 107 114
Potential, Coulomb      12 20 28 30 32 34 36 38 39 69 78 80 85 86 88 90 93 95
Potential, harmonic oscillator      1
Potential, oscillating      134
Potential, power      11 38 41 44 64 68 78 80 115 141 143 144
Potential, regular      23 24 28
Quantum Hall effect      49
Quark mass      11 77 78
Quarkonium      1 3 8 12 13 29 35 47 48 61 67 76—79 85 89 96 139
Quarks      3 7 8 12 22 67 68 136 137 139
Rearrangement theorem      156
Regge trajectories      25 30 64 114
Scaling      26—28 78 80 122 125 141
Sobolev inequality      155
Sodium sequence      19
Spin-orbit      20 90
Spin-spin      5 9 10 20
Stability of matter      1 2 107 121
Sturm — Liouville theory      11 30
Sum rules      28 29 52 73
Supersymmetric quantum mechanics      33 146 149 150
Thomas — Reiche — Kuhn sum rule      73
Three-body problem      145
Top quark      3
Two-dimensional problem      26
Van Royen — Weisskopf formula      76 77
Variational approach      132
Virial theorem      27 28 79 89
Wave function at the origin      67 68 71 75 96
WKB approximation      32 44 66 71 72 100 105

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