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Characteristic Vectors of Bordered Matrices with Infinite Dimensions I
The statistical properties of the characteristic values of a matrix the elements of which show a normal (Gaussian) distribution are well known (cf. [6] Chapter XI) and have been derived, ratherExpand
On the Distribution of the Roots of Certain Symmetric Matrices
The present article is concerned with the distribution of the latent roots (characteristic values) of certain sets of real symmetric matrices of very high dimensionality. Its purpose is to point outExpand
On Unitary Representations of the Inhomogeneous Lorentz Group
It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generallyExpand
On the Contraction of Groups and Their Representations.
  • E. Inonu, E. Wigner
  • Physics, Medicine
  • Proceedings of the National Academy of Sciences…
  • 1 June 1953
The purpose of the present note is to investigate, in some generality, in which sense groups can be limiting cases of other groups, and how their representations can be obtained from the representations of the groups of which they appear as limits. Expand
On the quantum correction for thermodynamic equilibrium
The probability of a configuration is given in classical theory by the Boltzmann formula exp [— V/hT] where V is the potential energy of this configuration. For high temperatures this of course alsoExpand
On an Algebraic generalization of the quantum mechanical formalism
One of us has shown that the statistical properties of the measurements of a quantum mechanical system assume their simplest form when expressed in terms of a certain hypercomplex algebra which isExpand
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
  • E. Wigner
  • Mathematics, Philosophy
  • 1 February 1960
There is a story about two friends, who were classmates in high school, talking about their jobs. One of them became a statistician and was working on population trends. He showed a reprint to hisExpand
Remarks on the Mind-Body Question
F. Dyson, in a very thoughtful article,1 points to the everbroadening scope of scientific inquiry. Whether or not the relation of mind to body will enter the realm of scientific inquiry in the nearExpand