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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
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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
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On the Contraction of Groups and Their Representations.
  • E. Inonu, E. Wigner
  • Physics, Medicine
  • Proceedings of the National Academy of Sciences…
  • 1 June 1953
Classical mechanics is a limiting case of relativistic mechanics. Hence the group of the former, the Galilei group, must be in some sense a limiting case of the relativistic mechanics’ group, theExpand
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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
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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
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On the statistical distribution of the widths and spacings of nuclear resonance levels
If the average spacing of the resonance levels is very small as compared with the range of energy in which the spacing or width of the levels changes appreciably on the average, one can speak of aExpand
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Lower Limit for the Energy Derivative of the Scattering Phase Shift
It is shown that the derivative of the scattering phase shift with respect to energy, dn/dE, must exceed a certain limit if the interaction of scattered particle and scatterer vanishes beyond aExpand
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Localized States for Elementary Systems
It is attempted to formulate the properties of localized states on the basis of natural invariance requirements. Chief of these is that a state, localized at a certain point, becomes, after aExpand
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