Taketani M. — The formation and logic of quantum mechanics :: Электронная библиотека попечительского совета мехмата МГУ

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Taketani M. — The formation and logic of quantum mechanics

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Название: The formation and logic of quantum mechanics

Автор: Taketani M.

Аннотация:

This book analyzes the intricate logical process through which the quantum theory was developed, and shows that the quantum mechanics thus established is governed by stereo-structural logic. The method of analysis is based on Mituo Taketani's three-stage theory of scientific cognition, which was presented and developed in close connection with Yukawa's theory of the meson. According to the three-stage theory, scientific cognition proceeds through a series of coiling turns of the phenomenological, substantialistic and essentialistic stages. The old quantum mechanics is shown to be in a substantialistic stage, followed by the quantum mechanics in the corresponding essentialistic stage.

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Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st

Год издания: 2002

Количество страниц: 320

Добавлена в каталог: 14.11.2010

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Предметный указатель

Field quantization, germ of (Rubinowicz, Compton)      II160 243
Field quantization, of Dirac’s electron field plus electro-magnetic wave (by Heisenberg — Pauli)      III228
Field quantization, of free electromagnetic waves      III227
Field quantization, of radiation as a system of light quanta (by Dirac)      III210
Field quantization, of the charged de Broglie wave (by Jordan — Klein)      III226
Field quantization, of the de Broglie waves obeying the F — D statistics (by Jordan)      III225
Field quantization, of the de Broglie waves using anti-commutation relation (by Jordan — Wigner)      III225
Field quantization, second quantization of de Broglie waves      III208 224 225
Fine structure constant Introduction by Sommerfeld of      II127
Fine structure of relativistic energy levels      II127 III202 232
Fitzgerald mechanical model of spectral series      169
Floating magnets and Thomson’s corpuscle model of atoms      1109
Floating magnets, analogous property to the periodic law      1110
Fluctuation in the ideal gas      II259 III72
Fluctuation of oscillation energy of string      III37
Fluctuation of radiation energy      1127
Fluctuation of radiation pressure      1130
Fock relativistic wave equation and the fine structure constant      III202
Forsterling, frequency relation and theory of relativity      II231
Fowler      1189
Franck — Hertz measurement of excitation energy of atoms      II102
Frenkel derivation of spin-orbit interaction      II213
Frequency condition and relativity (F $\ddot{o}$ rsterling)      II231
Frequency condition, Bohr’s      1187 151 III20
Frequency, Larmor’s      196 II142
Frequency, of de Broglie wave      II248 259 III84
Frequency, of inneratomic electrons      II81
Fresnel band theory, similarity to quantum condition      III89
Furry support for Bohr’s reply to EPR’s question      III285
Geiger      see Bothe Elester Rutherford Geiger
Geiger detection of large-angle scatterings of $\alpha$ -rays      1207
Geiger measurement of scattering angle of $\alpha$ -rays by gold foil      1208
Ghost field, attempt to interpret wave function by      III126
Giese      178
Gordon — Dirac electron equation and the fine structure      III232
Gordon — Dirac electron equation, relativization of wave equation      III203
Goudsmit      see Uhlenbeck — Green
Goudsmit model of irreversible measuring apparatus      III290
Group velocity of de Broglie wave      II250 III71
Guiding wave in attempt to interprete wave function      II252 III127
Half-integer quantum number and anomalous Zeeman effect      II182 184 186 188
Half-integer quantum number, Bohr’s doubts on      II208
Hamilton principal function And phase of wave      III84
Hamilton principle and Fermat’s principle      II252 III80
Hamilton — Jacobi partial differential equation and the wave equation at short wavelengths      III83
Hass radius of an atom in Thomson model      1144
Heisenberg angular momentum of atomic body      II184
Heisenberg inter-atomic resonance and permutation symmetry of wave function      III143
Heisenberg negation of causality from the uncertainty relation      III247
Heisenberg Qqantum-theoretical quantum condition      III11 14
Heisenberg quantum-theoretical law of multiplication      III10
Heisenberg state probability and matrix element of canonical transformation      III172
Heisenberg symmetry of wave function and nuclear spin      III221
Heisenberg symmetry of wave function and spectral terms      III219
Heisenberg thought experiment on the uncertainty relation      III239; see Born Kramers Sommerfeld-
Heisenberg — Pauli quantization of Dirac’s electron field plus electromagnetic field      III228
Heisenberg- Jordan matrix mechanics of anomalous Zeeman effect      III31
Heisenberg’s quantum condition and dispersion relation      III23
Heisenberg’s quantum condition and the commutation relation      III22
Heitler — London quantum mechanics of covalent bond      III223
Hertz energy difference in X-ray L terms      II204; see Franck Hidden variables
Hertz problem on the existence of      III247 273
Hilbert — Neumann — Nordheim mathematical systematization of transformation Hilbert — Neumann — Nordheim theory      III190
Hori      III222
Hund symmetry property of molecular wave functions      III220
Hydrogen atom, Bohr’s Application of the Bohr model to      1184
Hydrogen atom, Bohr’s determination of number of electron in      1228
Hydrogen atom, Dirac’s and Gordon’s application of the Dirac electron equation to      III232
Hydrogen atom, Dirac’s attempt to apply -algebra to      III50
Hydrogen atom, Fock’s application of the relativistic wave equation to      III202
Hydrogen atom, Ishiwara’s application of the quantum condition to      II113
Hydrogen atom, Pauli’s application of matrix mechanism to      III38
Hydrogen atom, Schrdinger’s application of wave mechanism to      III74
Hydrogen atom, Sommerfeld’s application of the quantum condition to      II117 125
Hypothesis of action integral Sommefeld’s      1148
Hypothesis of elementary action and anharmonic oscillation      III 15
Hypothesis of elementary action and rotational motion      II115
Hypothesis of elementary action, Planck’s      1147
In-radiation and absorption and induced emission of light      II149
Inneratomic elastic wave And the quantum condition (Brillouin)      II245
Intensified quantum condition Born — Jordan’s (commutation relation)      III24
Intensity of radiation from ring of electrons (Schott)      1197 206
Intensity of radiation of Stark effect by correspondence principle      II171
Intensity of radiation of Stark effect in wave mechanics      III112
Internal quantum number, introduction by Sommerfeld of      II181
Internal quantum number, of half-integer (Land $\acute{e}$ )      II182
Internal quantum number, selection rule for      II186
Irreversible measuring apparatus Green’s model of      III290
Irreversible process in measuring apparatus      III275 289
Ishino      II235
Ishiwara derivation of Balmer-like formula      II113
Ishiwara quantum condition of      II111
Jammer      II88 101 157
Jeans attempt to defend classical radiation theory      II14; see Rayleigh
Jordan irreversible process and observation apparatus      III289
Jordan quantization of de Broglie waves obeying FD statistics      III225
Jordan speciality of spin angular momentum      III218
Jordan transformation theory by means of probability amplitudes      III184; see Born Heisenberg-
Jordan — Klein quantization of charged de Broglie waves      III226
Jordan — Pauli quantization of free magnetic waves      III227
Jordan — Wigner quantization of de Brogie waves using anticommutation relation      III225
K $\acute{a}$ rm $\acute{a}$ n      see Born-
Kamerlingh Onnes      see Ehrenfest Kelvin
Kamerlingh Onnes, Ether vortex model of atoms      175 76
Kamerlingh Onnes, mechanical model of spectral series      169
Kamerlingh Onnes, model of atoms without nucleus interms of electrions      1117
Kelvin model and property of matter      1124
Kelvin model, characteristics of      1127
Kelvin model, stability of      1122
Kennard commutation relation and uncertainty relation      III241
Kirchhoff law of black body radiation      15
Kiuti      III91
Klein relativitization of wave equation      III202; see Jordan-
Klein — Nishina calculation of compton effect by Dirac’s electron wave equation      III232
Kopenhagen spirit      see Copenhagen spirit
Kossel analysis of characteristic X-rays      II130
Kossel electron configuration of atoms      II196; see Sommerfeld-
Kramers calculation of intensity of Start effect using correspondence principle      II171
Kramers dispersion formula and induced radiation      II273
Kramers WKB approximation of wave equation      III92; see Bohr-
Kramers — Heisenberg generalization of dispersion formula      II282
Kuhn sum rule      III13
Kunsman      see Davisson-
Kurlbaum      see Rubens-
Ladenberg — Reiche dispersion formula and transition probability      II272
Lamor discussion on stability of atoms      199
Lamor general theory of Zeeman effect based on electron theory      195
Lamor precession and antimagnetism      1137
Lamor precession in the Zeeman effect      195
Lamor radiation theory in terms of electron motion      198
Lanczos attempt to formulate matrix mechanics by integral equation      III57 174 189
Lanczos’s integral equation and the wave equation      III61
Lanczos’s unit integration kernel and $\delta$ -function      III60 174
Land $\acute{e}$ anomalous -factor of s terms and the magneto-mechanical anomaly      II183
Land $\acute{e}$ anomalous -factor of s terms, -factor of multiplet terms      II187
Land $\acute{e}$ anomalous -factor of s terms, half-integer quantum number and Land $\acute{e}$ anomalous -factor of s terms, -factor      II182
Land $\acute{e}$ anomalous -factor of s terms, similarity of X-ray and optical doublet terms      II209
Langevin Lamor precession and antimagnetism      1137
Langmuir improvement of Lewis’s octet theory      II198
Langmuir value of chemical combination heat of hydrogen molecule      1199
Larmor frequency of Zeeman effect      195 II142
Laser beams, Nagasaki’s analysis of interference of      III298
Lenard cathode rays and Larmor ray      11II
Lenard measurement of absorptive power for cathode rays      1164
Lenard model of atoms in terms of Dynamiden      1163
Lenard quantitative study of photoelectric effect      134 46
Lewis octet theory of electron configuration      II197
Light quantum and anomalous and normal scatterings of light (Smekal)      II279
Light quantum and Compton effect      II236
Light quantum and Doppler effect (Schr $\ddot{o}$ dinger)      II233

Light quantum and photoelectric effect (Einstein)      144
Light quantum and recoil of atom (Einstein)      II151
Light quantum and reflection and diffraction of X-rays (Duane, Compton)      II223 241 2442
Light quantum and Stokes law (Einstein)      143
Light quantum de Broglie’s assumption of a minute least mass for light quantum      II248
Limit of observation, difference with the limit of cognition of      III272 274
Lindemarn — Nernst      1122
Lodge confirmation of Zeeman effect      194
Lodge Eether montistic theory of atoms      176
London indication of wave function as state quantity in Hilbert space      III169
London wave equation and canonical transformation      III166; see Heitler-
Lorentz’s paradoxes of      1134
Lorentz’s paradoxes of Bose statistical mechanics for      II255 258
Lorentz’s paradoxes of Einstein’s presentation of the hypothesis of      143
Lorentz’s paradoxes of quantization of radiation as aggregate of      III206
Lummer — Pringsheim      123 32
Lyman spectral series      164
Machismic viewpoint, critique by Schr $\ddot{o}$ dinger of      III1II
Magneto-mechanical anomaly and electron spin      II222
Magneto-mechanical anomaly of electron specific charge      II190 214
Magneto-optical anomaly of -factor of -terms      II191
Magyar — Mandel      III296
Mandel      see Magyar- Pfleegor-
Mardenberg      1121
Margenau, necessary condition of measurement      III289
Marsden      see Geiger — Matrix element
Marsden and representation of -number      III50
Marsden representation by wave function of      III95 119
Matrix mechanics and angular momenta      III29
Matrix mechanics and anomalous Zeeman effect      III31
Matrix mechanics and Stark and Zeeman effects      III42
Matrix mechanics, application to vibration of string      III35
Matrix mechanics, Born — Wiener’s attempt at application to aperiodic motion of      III61 129
Matrix mechanics, difficulty in the case of many body of      III140 147
Matrix mechanics, dirac’s generalization to aperiodic motion of      III 173
Matrix mechanics, Lanczos attempt at treatment in terms of integral equation of      III57
Matrix mechanics, mathematical equivalence to wave mechanics of (Schr $\ddot{o}$ dinger)      III97 101
Matrix mechanics, of many-body systems (Born — Heisenberg — Jordan)      III26
Matrix mechanics, of systems of one degree of freedom (Born — Jordan)      III19
Matrix mechanics, Pauli’s application to hydrogen atoms of      III38
Matrix mechanics, relativization of (Dirac)      III203
Mayer floating magnets      1108
Mehra — Rechenberg      1188 206
Michelson confirmation of Zeeman effect      094
Micheson’s distribution formula, improvement by Wien of      014 II8
Millikan — Bowen critique of Bohr — Coster’s theory      II210
Millikan — Bowen critique of Bohr — Coster’s theory, similarity of X-ray and optical doublet terms      II209
Mixture as statistical agggregate (v. Neumann)      III260
Model of atom Bohr’s      II82
Model of atom Bohr’s, final determination of the models of atom with and without nucleus      0207 221
Model of atom Bohr’s, Kelvin’s ether voltex      075 76
Model of atom Bohr’s, with nucleus by Nagaoka      0169
Model of atom Bohr’s, without nucleus by Thomson      0106 129 140
Model of atom Bohr’s, without nucleus in terms of electrions by Kelvin      0117
Molecular-theoretical derivation of      013 II7
Moseley verification of the Bohr model      II99
Multiple scattering and $\beta$ -ray scattering (Crowther)      0207 218
Multiple scattering, Thomson’s theory of      0207 218
Multiplet lines Sommerfeld’s displacement law of      II180
Nagaoka model and ideal atoms      0181
Nagaoka model and intensity of spectral lines      0197 206
Nagaoka model and line- and band-spectra      0169 177
Nagaoka model and radioactivity      0165 175
Nagaoka model, problem of stability of      0180
Nagaoka model, quantity of central charge in      0171
Nagaoka model, quantity of central mass in      0181
Nagaoka presentation of model of atom with nucleus      0169
Nagaoka reply to Schott’s scritique      0180
Nagasaki analysis of interference of two laser beams      III298
Natural radiation Planck’s      II10
Negation by Pauli of      II216
Negation of causality, Bohr’s support for      III249
Negation of causality, on the basis of uncertainty relation (Heisenberg)      III247
Nernst      see Lindemann Nicholson
Nernst indication of quantum nature of angular momentum      II77
Nernst radius of an atom of the Nagaoka type      II72 73
Nernst theory of corona spectra      II67
Nishina      see Klein-
Nonmechanical compulsion to lighting electrons (Bohr)      II209 216 III103
Nordheim      see Hilbert — Nuclear spin
Nordheim and symmetry of wave function (Heisenberg)      III221
Nordheim, Dennison’s experimental value for hydrogen atom of      III222
Number of electrons Drude’s determination about atoms of      1191
Number of electrons, determination about hydrogen atom of (Bohr)      0229 II80
Number of electrons, investigation about atoms of (Thomson)      0182 193
Number representation of the wave equation (Dirac)      III209
Objective interaction as origin of statistical nature of quantum mechanics      III271
Observation apparatus, boundary between object of observation and      III261 274 275 312
Observation apparatus, conditions for v. Neumann type of      III263 287 292
Observation apparatus, Green’s model of      III290
Observation apparatus, of the so-called negative experiment type      III293
Observation apparatus, Pauli’s model of      III277
Observation in quantum mechanics Necessary condition for      III276 288
Observation theory on the basis of principle of psycho-physical parallelism (v. Neumann)      III261
Octet theory about electron configurations by Lewis      II197
Octet theory, improvement by Langmuir of      II198
Ortho-helium      II201
Out-radiation similarity to radioactivity      II149
Par-helium      II201
Paschen      II183 218 222;
Pauli conjugate configuration of electrons and reciprocal theorem      II217
Pauli indication of the doubleness of electron      II215
Pauli introduction of spin wave function      III216
Pauli matrix mechanics of hydrogen atom      III38
Pauli matrix mechanics of Stark and Zeeman effects      III42
Pauli model of measuring apparatus      III277
Pauli negation of Bohr’s idea of nonmechanical compulsion      II216
Perihelion of relativistic electron orbit      II125
Person magnetic force between self-rotating electrons      II220
Perturbational method in matrix mechanics      III28
Perturbational method in wave mechanics (time-dependent)      III158 163
Perturbational method in wave mechanics (time-independent)      III107
Pfieegor — Mandel      III296
Pfund spectral series      063
Phase of wave and Hamilton’s principal function      III84
Phase velocity of the de Broglie wave      II250 III70
Phase wave (virtual wave) de Broglie’s      II250 III85
Photoelectric effect and Stokes law      043
Photoelectric effect and the hypothesis of light quantum      44
Photoelectric effect, derivation by wave mechanics (Wentzel)      III2II
Photoelectric effect, quantitative study of (Lenard)      034 46
Physical mechanics, name of wave mechanics (Schr $\ddot{o}$ dinger)      III93
Pickerling      1189
Planck complexion number      028 II15
Planck constant      see Elementary action
Planck distribution formula of the black body radiation      025 II11
Planck hypothesis of elementary action      II47
Planck hypothesis of natural radiation      II10 313
Planck quantum condition      II136
Planck resonator      017 24 II9
Planck’s distribution formula, and the entropy of resonators      025 39 II11 15
Planck’s distribution formula, derivation by Bose of      II255
Planck’s distribution formula, derivation by Debye of      II18 261
Planck’s distribution formula, derivation by Einstein of      II150 258
Planck’s distribution formula, two limits of      037 49
Podolsky      see Einstein-
Poincare doubts on quantum condition      II145
Poisson bracket equation and the commutation relation      III47
Positive electron, Dirac’s theory of      III234
Presentation of the exclusition principle (the general rule)      II217 219
Presentation of the exclusition principle (the general rule), quantization of direction and magnetization of gas      II192
Presentation of the exclusition principle (the general rule), relativistic correction of -factor      II213
Presentation of the exclusition principle (the general rule), wave function as probability amplitude      III180; see Heisenberg- Jordan
Principle of psycho-physical parallelism in the Copenhagen spirit      III252
Pringsheim      see Lummer-
Probability amplitude as interpretation of wave function (Pauli)      III183
Probability amplitude, Jordan’s transformation theory by means of      III184
Quantization of direction and magnetization of gas      II192
Quantization of direction and Stern — Gerlach’s experiment      II192
Quantization of direction, Sommerfeld’s intorduction of      II123

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