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

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Taketani M. — The formation and logic of quantum mechanics

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

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.

Язык:

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

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Quantum condition, analogy to Frenel’s band theory of      III89
Quantum condition, and adiabatic hypothesis      II165
Quantum condition, and Balmer’s formula      II118
Quantum condition, and reflection and diffraction of -rays      II241 243
Quantum condition, and the WKB approximation      III92
Quantum condition, Brillouin’s interpretation by inneratomic elastic wave of      II244
Quantum condition, de Broglie’s interpretation by virtual (phase) wave of      II249
Quantum condition, Debye and Sommerfeld’s application to Zeeman effect of      II141 142
Quantum condition, difficulty for aperiodic motions of      II195
Quantum condition, doubt’s by Poincare on      II145
Quantum condition, equality of Sommerfeld’s and Planck’s      II140
Quantum condition, intensified (Born — Jordan)      III23
Quantum condition, Ishiwara’s      III11
Quantum condition, limitation of      II128
Quantum condition, Planck’s      II136
Quantum condition, quantum-theoretical (Heisenberg)      III11 14
Quantum condition, Rubinowicz’s application to cavity radiation of      II160
Quantum condition, Schr $\ddot{o}$ dinger’s replacement with a variation principle of      III74 77
Quantum condition, Sommerfeld, Epstein, Schwarzschild’s application to the Stark effect of      II121 132 136
Quantum condition, Sommerfeld’s      II116
Quantum condition, viewpoints from energetics and atomism of      II146
Quantum condition, Wilson’s      II108
Quantum number, as premise of the quantum condition      II116
Quantum number, Bohr’s assumption of constancy of      II218
Quantum number, Schr $\ddot{o}$ dinger’ derivation from wave equation of      III76
Quantum-theoretical multiplication formula, Heisenberg’s      III10
Quantum-theoretical quantum condition      314
Quantum-theoretical quantum condition, Heisenberg’s      III10 14
Radiation density and average energy of      030 37 II6 10
Ramusaner      II260
Rayleigh difficulty in classical theory of spectra      073
Rayleigh dynamical model of spectral series      066
Rechenberg      see Mehr-
Reciprocal theorem of balck body radiation (Kirchhoff)      6
Reciprocal theorem of the conjugate electron configuration (Pauli)      II217
Reiche      see Ladenberg-
Relativistic fine structure      II127 III202 232
Relativistic matrix mechanics      III203
Relativistic wave equation      III150 154 203 231
Resonator, entropy of      019 25 31 II15
Reyleigh — Jeans distribution formula of black body radiation      023 II12
Reyleigh — Jeans’s distribution formula and the equipartition principle of energy      037 II12
Reyleigh — Jeans’s distribution formula as limit of Planck’s formula      038
Richardson      II190
Ritz atomic magnet model of spectral series      II60
Ritz atomic magnet model of spectral series, combination rule of spectral terms      64
Ritz atomic magnet model of spectral series, plate vibration model of spectral series      II56
Ritz — Paschen spectral series      064
Robertson commutation relation and the uncertainty relation      III241
Rosen      II101; see Einstein — Rosenfeld
Rubens — Kurlbaum      024 312
Rubinowicz      II101
Rubinowicz application of quantum condition to cavity radiation      II160
Rubinowicz conservation of angular momenta and selection rule      II159
Runge final determination of model of atom with or without nucleus      205 221
Runge rule for anomalous Zeeman effect      II181; see Sommerfeld- Rutherford
Rutherford scattering formula, Gordon’s derivation by wave mechanics of      III2II
Rutherford scattering formula, Wentzel’s Born approximation calculations of      III199
Rutherford — Anderade      II156
Rydberg electron configuration in rare gas atoms      II198
Rydberg spectral series      064 65
Schott instability of Nagaoka model      0180
Schott intensity of radiation from electron rings      0197
Schott oscillation of electron rings      II70
Schr $\ddot{o}$ dinger assumption of $\psi(d\bar{\psi}/dt)$ as charge density      III110 120
Schr $\ddot{o}$ dinger assumption of $\psi\bar{\psi}$ as charge density      III120
Schr $\ddot{o}$ dinger assumption of $\psi\bar{\psi}$ as weight function      III121
Schr $\ddot{o}$ dinger attempt to interprete wave function as catalog of expectation      III269
Schr $\ddot{o}$ dinger critique of Machismic viewpoint      III101
Schr $\ddot{o}$ dinger derivation of Balmer’s formula      III76
Schr $\ddot{o}$ dinger dispersion formula in wave mechanics      III118
Schr $\ddot{o}$ dinger example of a cat (critique of observation theories of v. Neumann-type)      III268
Schr $\ddot{o}$ dinger light quantum and Doppler effect      II231
Schr $\ddot{o}$ dinger mathematical equality of matrix and wave mechanics      III96 101
Schr $\ddot{o}$ dinger objective interaction as origin of statistical nature of quantum mechanics      III271
Schr $\ddot{o}$ dinger relative intensity of Stark effect      III112
Schr $\ddot{o}$ dinger relativitization of wave equation      III155
Schr $\ddot{o}$ dinger replacement of quantum condition using variation principle      III74 77
Schr $\ddot{o}$ dinger theory of gases by means of de Broglie waves      III64
Schr $\ddot{o}$ dinger time-dependent wave equation      III115 155 181
Schr $\ddot{o}$ dinger time-independent wave equation      III77
Schuster      078
Schwartzschild quantum condition and Stark effect      II136
Second quantization of Dirac electron wave equation      III228 234
Second quantization, quantization of de Broglie wave field      III208 225 226
Selection rule and conservation of angular momentum      II159
Selection rule and internal quantum number      II186
Selection rule, derivation by matrix mechanics of      III30
Selection rule, derivation from correspondence principle      II163
Shimizu      II221
Siegbahn measurement of characteristic X-rays      II130
Signal velocity      see Group velocity
Simon      see Compton-
Slater idea of virtual radiation      II262; see Bohr-
Smekal aperiodicity of translational motion in magnetic field      II195
Smekal light quanta and normal and anomalous scatterings of light      II278
Sommerfeld derivaiton of formula for spectral terms      II179
Sommerfeld hypothesis of action integral      II48
Sommerfeld introduction of internal quantum number      II181
Sommerfeld introduction of quantum condition      II116
Sommerfeld magneto-optical anomaly of -factor of -terms      II191
Sommerfeld permanence of multiplicity      II180 186
Sommerfeld provisional selection rule      II120 129
Sommerfeld quantum condition and Balmer’s formula      II118
Sommerfeld quantum condition and quantization of direction      II123
Sommerfeld quantum condition and Stark effect      121
Sommerfeld quantum condition and Zeeman effect      II142
Sommerfeld theory of relativistic fine structure      II127
Sommerfeld — Heisenberg selection rule for internal quantum number      II186
Sommerfeld — Kossel displacement law of spectral series      II180
Sommerfeld — Runge wave equation of light of short      316
Sommerfeld — Runge wavelengths      III83
Sommerfeld’s      II179
Sommerfeld’s in the Bohr model      II88
Sommerfeld’s Kayser — Ringe’s      065
Sommerfeld’s provisional      II120 129
Sommerfeld’s, Balmer’s      063
Sommerfeld’s, Rydberg’s      064 65
Specialty of spin angular momentum (Jordan)      III218
Specialty of spin angular momentum (Jordan), Uhlenbeck — Goudsmidt’s introduction of      II219
Specific charge measurement by Thomson of cathode-ray electron      01II 105
Specific charge measurement by Wien of anode-ray particle      0196
Specific charge measurement by Zeeman of electron      94
Specific heat of solids, Born — K $\acute{a}$ rm $\acute{a}$ n’s theory of      II24
Specific heat of solids, Debye’s theory of      II23
Specific heat of solids, Einstein’s theory of      II19 21
Spectral term formula, Ritz’s      II63
Spectrum theory, breakdown for oscillation of electron rings of      0206
Spectrum theory, difficulty in the classical theory of      74
Spectrum theory, Nicholson’s      II67
Spectrum theory, Ritz’s      II56 60
Spin and magneto-mechanical anomaly      II221
Spin, Darwin’s attempt to introduce vector-type      III214
Spin, Pauli’s introduction of wave function for      III215
Spin-orbit interaction in Dirac electron wave equation      III232
Spin-orbit interaction, Thomas — Frenkel’s      II223
Stark effect, Bohr’s treatment by a pre-correspondence-principle of      II143
Stark effect, Pauli’s application of matrix mechanics to      III42
Stark effect, relative intensity by correspondence principle (Kramers) in      II171
Stark effect, relative intensity by wave mechanics (Schr $\ddot{o}$ dinger) in      III112
Stark effect, Sommerfeld, Epstein and Schwartzschild’s application of quantum condition to      II121 132 136
Stark effect, Wentzel’s and Schr $\ddot{o}$ dinger’s application of wave mechanics to      III92 108
State as an essentialistic concept      III273
State probability and matrix element of canonical transformation      III172
State probability, introduction by Born of      III129 162
State vector and unified formulation of matrix and wave mechanics      III193 197

Stationary state, assumption in the Bohr model of      86
Statistical aggregation, introduction by v. Neumann of      III257
Statistical nature (in quantum mechanics), making much in the Copenhagen spirit of      III252
Statistical nature (in quantum mechanics), objective interaction as origin of      III271
Statistical operator introduction by v. Neumann of      III258
Stefan — Boltzman law of the black body radiation      07
Stereo-structural logic of quantum mechanics (Taketani)      317 III272 275
Stern — Gerlach’s experiment and the anomalous Zeeman effect      II195
Stern — Gerlach’s experiment, difficulty of interpretation of      II192
Stewart      II190
Stieltijes’s integral-in v. Neumann’s formulation      III195
Stokes — Law of photoelectric effect      044
Stoner Rrvision of Bohr’s electron configuration      II211
Sucksmith — Bates      II191
Sugiura-calculation of covalent bonds      III223
Sum rule, Kuhn’s and Thomas’s      III13
Sutherland      II21
Taketani conflict between field and matter      225 III235
Taketani critique of Bohr’s complementarity      III253
Taketani irreversible process and the objective boundary in observation      III275
Taketani stereo-structural logic in quantum mechanics      III271 275
Tamm calculation of Compton effect by quantum field theory      III233
Theory of electron Lorentz’s      077
Theory of magnetic body      0128 136
Theory of multiple scattering      0207 218
Thomas, L. H. derivation of spin-orbit interaction      II222
Thomas, W. sum rule      III14
Thomson analogy of floating magnets and periodic law      0108
Thomson determination of Avogadro’s number (by method of electrolysis)      0112
Thomson equality of positive and negative elementary charges      0114
Thomson measurement of elementary electric charge (by method of gas ionization)      0111
Thomson measurement of specific charge of free chathode ray electron      01II 104
Thomson model and construction of periodic system      150
Thomson model and electron mass as origin of atomic mass      0158
Thomson model and electron temperature      0159
Thomson model and intensity of radiation      0135
Thomson model and intensity of spectral lines      0198 206
Thomson model and oscillation of inneratomic electrons      0154
Thomson model and radioactivity      0161
Thomson model and valence      0156
Thomson model of atoms without nucleus by corpuscles      0106 129 141
Thomson model, stability condition and oscillation modes of      0141 150
Thomson specific charge of anode ray particle and mass of positively charged particle      0196
Townsend equality of positive and negative elementary charges      0114
Townsend measurement of elementary charge (by method of ion diffusion)      0113
Transformation function and Born’s scattering probability (Dirac)      III182
Transformation function, introduciton by Dirac of      III176
Transformation function, wave function as      III179 318
Transformation theory, Dirac’s, Jordan’s      III179 189
Transition probability and correspondence principle      III70
Transition probability and dispersion formula      II272 274
Transition probability and quantum theoretical amplitude      III7
Transition probability of absorption and induced emission of light in wave mechanics      III158 164
Transition probability of spontaneous emission of light in quantum mechanics      III212
Transition probability, introduction by Einstein of      II149
Transition probability, reversibility of (Born)      III165
Uhlenbek- Goudsmit introduction of electron spin      II219
Uncertainty principle, arbitrary interpretation in philosophical discussions of      III244
Uncertainty principle, name of the uncertainty relation      III244
Uncertainty relation, derivation from commutation relation of      III242
Uncertainty relation, Heisenberg’s derivation by means of thought experiments      III240
Uncertainty relation, negation of causality on the basis of (Heisenberg)      III247
Unification, framework of      III164
Unification, moment of      III180
Unified formulation of matrix and wave mechanics      III193 197
Uniform aggregation as a statistical aggregation (v. Neumann)      III259
Uniformising variable for multi-periodic system      III49
Unit operator, splitting in v. Neumann’s theory of      III195
v. Neumann mixed aggregation as a statistical aggregate      III260
v. Neumann statistical aggregation      III257
v. Neumann statistical operator      III259
v. Neumann theory of observation based on principle of psycho-physical parallelism      III261
v. Neumann unified formulation of matrix and wave mechanics      III193 197
v. Neumann uniform aggregation as a statistical aggregate      III259; see Hilbert-
v. Neumann’s type of measurement apparatus, conditions for      III263 287 292
Viewpoint of atomism about the quantum condition      II146
Viewpoint of atomism about thermal phenomena      06 17
Viewpoint of energetics about quantum condition      II146
Viewpoint of energetics about thermal phenomena      06 17
Villard      II156
Virtual orbit Bleit’s      II275
Virtual oscillator, Bohr — Kramers — Slator’s      II267 275
Virtual radiation field Slator’s      II265
Voigt model of Paschen — Back effect of Na — D line      II183
Vortex atom, Kelvin’s      075 76
Wave equation and photoelectric effect      III2II
Wave equation, Dirac, Schr $\ddot{o}$ dinger, Klein, Fock, Gordon’s relativization of      III150 155 202
Wave equation, Dirac’s relativistic electron      III231
Wave equation, number representation of (Dirac)      III209
Wave equation, Schr $\ddot{o}$ dinger’s and Dirac’s time-dependent      III116 154 181 319
Wave equation, Schr $\ddot{o}$ dinger’s time-independent      III76
Wave function as a state quantity in Hilbert space (London)      III 169
Wave function as a transformation function (Dirac)      III179
Wave function as expectation catalog (Schr $\ddot{o}$ dinger)      III269
Wave function as probability amplitude (Pauli)      III183
Wave function as probability amplitude transformation in theory (Jordan)      III184
Wave function, attempt at interpretation as ghost field of      III126
Wave function, attempt at interpretation as guiding wave of      II251 III126
Wave function, Born’s assumption of $\psi\bar{\psi}$ as probability of existence      III129 162
Wave function, of spin (Pauli)      III216
Wave function, permutation property and nuclear spins      III221
Wave function, permutation property and spectral terms      III219
Wave function, permutation property for a many-body system      III144 149
Wave function, Schr $\ddot{o}$ dinger’s assumption of $\psi(d\bar{\psi}/dt)$ \propto$ density of electric charge      III110 118
Wave function, Schr $\ddot{o}$ dinger’s assumption of $\psi\bar{\psi}$ $\infty$ density of electric charge      III118
Wave function, Schr $\ddot{o}$ dinger’s assumption of $\psi\bar{\psi}$ weight function      III121
Wave function, Schr $\ddot{o}$ dinger’s representation of matrix element by      III95 119
Wave mechanics, applied to diatomic molecules      III88
Wave mechanics, applied to hydrogen atom      III74
Wave mechanics, applied to Planck’s oscillator      III88
Wave mechanics, Born’s application to scattering problem of      III131
Wave mechanics, Born’s introduction of particle nature to      III129 135
Wave mechanics, mathematical equality to matrix mechanics of (Schr $\ddot{o}$ dinger)      III97 101
Weight function as an interpretation of $\psi\bar{\psi}$ (Schr $\ddot{o}$ dinger)      III121
Weiss molecular magnetic field of gases      60
Wentzel Born approximation of Rutherford scattering formula      III199
Wentzel regular and irregular doublet -ray terms      II205
Weyl commutation relation and uncertainty relation      III241
Whiddington discussion of velocity loss of charged particles      0222
Whiddington energy of generating characteristic X-rays      II81 98
Whole and parts in quantum mechanics      III273
Whole and parts in quantum mechanics (Weyl)      III273
Wien anode rays      0196
Wien displacement law of black body      08 8
Wien distribution formula of black body radiation      016 II8
Wien improvement of Michelson’s distribution formula      II8
Wien measurement of specific charge of      320
Wiener      see Born — Wien’s formula Jordan-Wilson H.
Wiener and hypothesis of light quanta      043
Wiener as a limit of Planck’s formula      049
Wigner development of cloud chamber      0110 111
Wigner measurement of elementary charge (by method of falling drop)      0113
Wilson, W. quantum condition      II108
WKB approximation for Stark effect      III91
WKB approximation for wave equation      III90 92
WKB approximation, applied to Stark effect      III891
WKB approximation, for wave equation      III86 91
Wright      II71
Zeeman effect and Larmor frequency      096 II142
Zeeman effect and verification of Lorentz electron theory      091
Zeeman effect, Bohr’s pre-correspondence-principal treatment of      II143
Zeeman effect, Debye and Sommerfeld’s application of quantum condition to      II141 142
Zeeman effect, Pauli’s application of matrix mechanics to      III42
Zeeman effect, relative intensity by matrix mechanics of      III30
Zeeman measurement of specific charge of electron      094
Zeeman, discovery of Zeeman effect      085

1 2 3

О проекте