Wigners 1935 paper

Wigner s contribution to Brillouin-Wigner perturbation theory appeared some 2 years after Brillouin s paper in 1935. It was published in Mathematischer und Naturwissenschaftlicher Anzeiger der Ungarischen Akademie der Wi -senschaften. Wigner cites the earlier work of Brillouin but not that of Lennard-Jones. The first part of Wigner s paper is in Hungarian  

A Rayleigh—Schrodinger-fele perturbacio-elmelet egy modositasarol Wigner Jeno-tol 

V6giil a nyert kozelito kifejezes egy Mathieu egyenletre alkalmaztatik peldak6ppen. 

On a modification of the Rayleigh—Schrodinger perturbation theory Eugene Wigner 

From the meeting of the Illrd class of the Hungarian Academy of Sciences on the 12th November 1934 

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One other classical pair of papers should be mentioned here. Eugene Wigner, an immigrant physicist of Hungarian birth, and his student Frederick Seitz whom we... 

Working first with Polanyi, Weissenberg, and Brill, and later as the leader of the Textile Chemistry Section, Mark successively published papers on the crystal structures of hexamethylenetetramine, pentaerythritol, zinc salts, tin, urea, tin salts, triphenylmethane, bismuth, graphite, sulfur, oxalic acid, acetaldehyde, ammonia, ethane, diborane, carbon dioxide, and some aluminum silicates. Each paper showed his and the laboratory s increasing sophistication in the technique of X-ray diffraction. Their work over the period broadened to include contributions to the theories of atomic and molecular structure and X-ray scattering theory. A number of his papers were particularly notable including his work with Polanyi on the structure of white tin ( 3, 4 ), E. Wigner on the structure of rhombic sulfur (5), and E. Pohland on the low temperature crystal structure of ammonia and carbon dioxide (6, 7). The Mark-Szilard effect, a classical component of X-ray physics, was a result of his collaboration with Leo Szilard (8). And his work with E. A. Hauser (9, 10, 11) on rubber and J. R. 

Owing to the ease of preparation and purification, the chemical and explosive properties of mannitol hexanitrate have been thoroughly investigated. The following papers are worth attention Sokolov [12], Berthelot [13], Sarrau and Vieille [14], Wigner [15], C. Taylor and Rinkenbach [16], Medard [16a]. 

R. A. Marcus It certainly is a good point that transition state theory, and hence RRKM, provides an upper bound to the reactive flux (apart from nuclear tunneling) as Wigner has noted. Steve Klippenstein [1] in recent papers has explored the question of the best reaction coordinate, e.g., in the case of a unimolecular reaction ABC — AB + C, where A, B, C can be any combination of atoms and groups, whether the BC distance is the best choice for defining the transition state, or the distance between C and the center of mass of AB, or some other combination. The best combination is the one which yields the minimum flux. In recent articles Steve Klippenstein has provided a method of determining the best (in coordinate space) transition state [1]. 

R. A. Marcus My interests in variational microcanonical transition state theory with J conservation goes back to a J. Chem. Phys. 1965 paper [1], and perhaps I could make a few comments. First, using a variational treatment we showed with Steve Klippenstein a few years ago that the transition-state switching mentioned by Prof. Lorquet poses no major problem The calculations sometimes reveal two, instead of one, bottlenecks (transition states, position of minimum entropy along the reaction coordinate) [2], and then one can use a method described by Miller and partly anticipated by Wigner and Hirschfelder to calculate the net dux. 

Wigner in 1963 [11] concluded that the standard theory of measurement remains the only one that is compatible with the QM. This is a strong statement made by one of the pioneers that should be nuanced by supplementing with another comment made in the same paper "This is a legitimate statement if we acknowledge that the interpretation is sustained by the idea that QM describes the states of objects (entities) in real space. A measurement put the object in a particular eigenstate of the observable one selects the linear superposition collapse as it were [11]."... 

The final and most fundamental impact of Wigner s paper lies in the impetus that it gave to formulating a rigorous quantum theory of the chemical rate constant, without the need to solve the full state to state scattering problem. Early work by McLafferty and Pechukas concluded that can be no... 

Probably one of the first physics paper that analyzed an atomic system in a bounded region was the work of Wigner and Seitz [1,2] on the theory of periodic structures, published in 1933-1934. The Schrodinger equation for an atom in a lattice was studied with the Neumann boundary conditions (named in honor of Carl Neumann, who had studied the differential equations and potential theory for such problems at the end of 19th century). 

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