From atoms and molecules to the cosmos : a quasi-ergodic interpretation of quantum mechanics
著者
書誌事項
From atoms and molecules to the cosmos : a quasi-ergodic interpretation of quantum mechanics
(Lecture notes in chemistry, 68)
Springer, c1998
大学図書館所蔵 全10件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references and index
内容説明・目次
内容説明
Andre Julg has published several papers concerning the continuity of classical physics and quantum mechanics. He provides a provocative conclusion in this book: the quantum formalism can be effectively interpreted within the framework of classical physics, provided some minor rearrangements are accepted.
目次
I. The quantum formalism and its main interpretations.- The axioms and their immediate consequences. The various interpretations. Practical conclusion.- II. Proposal of a new model.- The apparent failure of the classical physics. Origin of the stability of atoms and molecules. The general properties of the universe field. Direct consequences.- III. A remark about the construction of the operators in quantum mechanics.- The operator associated with the square of the energy. The difficulties to find a general construction rule. Energy fluctuation. Case of the operators associated with Mz2 and M2 . Comparison with experiment. Conclusion.- IV. The problem of enantiomers.- The classical point of view. The quantal point of view. Our interpretation. Analogy with ferromagnetism.- V. Measurement of a property and ergodicity time.- A preliminary remark. Physical meaning of the measurement result. Some arguments for an ergodic interpretation of quantum mechanics. Estimation of the ergodicity time: A quantum approach. Orders of magnitude of the ergodicity time. Other approaches of the ergodicity time. Going back to the measurement axiom.- VI. The molecular structure.- The Born-Oppenheimer approximation. The Woolley paradox. Case of isomers. The chemical bond. The orbitals domains. Case of crystals. Does Quantum Mechanics apply to the universe as a giant molecule?.- VII. A mathematical approach.- The model. Study of the motion. First consequences. Energy balance. The virial theorem. Effect of a virtual deformation of the trajectory. The Hellmann-Feynman theorem. The charged harmonic oscillator. Case of complex particles. The angular momentum. Effect of a magnetic field. Conclusion.- VIII. Connection with the quantum formalism.- Transcription into an operator formalism. The Schroedinger equation. Coming back to the harmonic oscillator. The rigid rotator in a plane. The time-dependent Schroedinger equation. Origin of the universality of the Schroedinger Equation. Meaning of the quantum formalism. Stabilty of atoms and molecules.- IX. The electron spin.- Ambiguity of the notion. The intrinsic kinetic momentum of the electron. Intrinsic magnetic momentum of electron. Magnetic momentum of positron. The Vaschy theorem. Effect of a constant magnetic field. Correlation in a singlet state. The Bell inequality.- X. The excited states.- The quantal point of view. The excited state in our model. Theorem. Consequences. The Franck-Condon principle. Relationship between the transition energy and the frequency of the radiation. Molecular spectra. Utilizable energy carried by a radiation. Induced emission and laser effect. Connexion with the perturbation theory. Remark about the states of the continuum. Thermalization effect.- XI. Many-particle systems.- Interest of the problem. The Hartree-Fock approximation. Justification of the Hartree-Fock model. Connection between the spin and the Fermi-Dirac statistics. Coming back on the orbital domains. Slater's rules . Hund's rule. Muon-electron systems.- XII. The wave-particle duality.- Origin and interpretation of the concept. The spreading of a wave-packet. Wave associated with a particle. Electron diffraction. The particle in a box. Momentum associated with an electromagnetic radiation - Application to the Compton effect. Closed and unclosed systems.- XIII. Microreversibility and ergodicity.- The specific character of the time variable. Reversibility and irreversibility in Mechanics. Friction, irreversibility and stability. Similarity to our model. Parallelism with entropy.- XIV. Does Planck's constant vary versus time?.- The problem of the past variability of the fundamental parameters in physics. A preliminary remark. Experimental data. Choice of a unit system. Derived units. Invariance of the physical laws. Invariance of the light velocity and that of G . First consequences. Connection with the strong and weak interactions. Origin of the time-invariability of a. The principle of conservation of energy. Variation of ? versus the expansion of the universe. Consequences and various applications. Remark about the ? ? 0 limit in quantum mechanics.- Conclusion.
「Nielsen BookData」 より