The Collected Works of Eugene Paul Wigner: Part A: The Scientific PapersSpringer Science & Business Media, 11 lis 2013 - 719 Eugene Wigner is one of the few giants of 20th-century physics. His early work helped to shape quantum mechanics, he laid the foundations of nuclear physics and nuclear engineering, and he contributed significantly to solid-state physics. His philosophical and political writings are widely known. All his works will be reprinted in Eugene Paul Wigner's Collected Workstogether with descriptive annotations by outstanding scientists. The present volume begins with a short biographical sketch followed by Wigner's papers on group theory, an extremely powerful tool he created for theoretical quantum physics. They are presented in two parts. The first, annotated by B. Judd, covers applications to atomic and molecular spectra, term structure, time reversal and spin. In the second, G. Mackey introduces to the reader the mathematical papers, many of which are outstanding contributions to the theory of unitary representations of groups, including the famous paper on the Lorentz group. |
Spis treści
| 3 | |
| 16 | |
| 31 | |
Some Consequences of the Schrödinger Theory for the Term Structure | 53 |
Some Consequences of the Schrödinger | 82 |
On the Explanation of Some Properties of Spectra in the Quantum | 91 |
On the Pauli Exclusion Principle Über das Paulische | 109 |
On the Explanation of Some Properties of Spectra in the Quantum | 130 |
with E Inönü | 488 |
On a Particular Type of Convergence to a Singular Matrix | 503 |
Characteristic Vectors of Bordered Matrices with | 524 |
On a Theorem of Magnus with Edwin Hewitt | 546 |
Phenomenological Distinction Between Unitary and Antiunitary | 556 |
Unitary Representations of the Inhomogenous Lorentz Group | 564 |
On the Matrices Which Reduce the Kronecker Products | 608 |
209 | 633 |
On the Structure of Diatomic Molecular Spectra in Quantum | 169 |
On the Elastic Eigenvibrations of Symmetric Systems | 197 |
On a Sharpened Sum Rule Über eine Verschärfung | 209 |
On the Operation of Time Reversal in Quantum Mechanics | 215 |
On the Experimental Test of the Conservation Law of Spin | 227 |
Separation of Rotational Coordinates from the Schrödinger | 237 |
On the Contraction of Groups and Their Representations | 289 |
167 | 352 |
195 | 380 |
PART III | 654 |
Unimodular Matrices Homomorphic to Lorentz Transformations | 655 |
On a Generalization of Eulers Angles | 662 |
Condition That the Irreducible Representations of a Group | 673 |
Orthogonalization Methods with H C Schweinler | 679 |
Condition That All Irreducible Representations of a Compact | 690 |
Reduction of Direct Products and Restriction of Representations | 697 |
On Remarkable Discrete Eigenvalues Über merkwürdige diskrete | 714 |
Kluczowe wyrazy i wyrażenia
algebra antiunitary Anzahl Atome characteristic values characteristic vectors commute complex converges corresponding Darstellung defined definite denoted diagonal dimensional E. P. Wigner Eigenfunktion Eigenfunktionen Eigenwerte einiger Elektron Elektronen elementary equation erhalten ersten factor finite follows Funktionen gilt gleich Gleichung Gruppe Hence Hilbert space imaginary infinitesimal operators inhomogeneous Lorentz group integral interval invariant irreducible representations Jordan können Kronecker product linear Lorentz group Lorentz transformation Math matrix multiplication muß N₁ N₁(e Neumann normalized null vector obtained operators orthogonal P. A. M. Dirac particle Phys plane Poincaré group poles positive proof Quantenmechanik Quantenzahl quantum mechanical real axis restricted subclasses subgroup symmetry Teil Teilchen theorem theory three-j-symbols tion unimodular unit element UNITARY REPRESENTATIONS v₁ wave functions zero Zustand zwei Ζμ Κμ