C
Carl Eckart
Researcher at University of Chicago
Publications - 52
Citations - 12226
Carl Eckart is an academic researcher from University of Chicago. The author has contributed to research in topics: Low voltage & Quantum dynamics. The author has an hindex of 26, co-authored 52 publications receiving 11165 citations. Previous affiliations of Carl Eckart include University of California, Santa Barbara & California Institute of Technology.
Papers
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The approximation of one matrix by another of lower rank
Carl Eckart,Gale Young +1 more
TL;DR: In this paper, the problem of approximating one matrix by another of lower rank is formulated as a least-squares problem, and the normal equations cannot be immediately written down, since the elements of the approximate matrix are not independent of one another.
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The Penetration of a Potential Barrier by Electrons
TL;DR: In this paper, the Schrodinger equation associated to the potential barrier is solved in terms of hypergeometric functions, and the coefficient of reflection for electrons approaching the barrier with energy $W$ is calculable.
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The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
TL;DR: In this paper, it was shown that the first law of thermodynamics is a scalar equation, and not the fourth component of the energy-momentum principle, and temperature and entropy also prove to be scalars.
The Physical Principles of Quantum Theory
TL;DR: It was in fact he who first saw clearly that in the older forms of quantum theory we were describing our spectra in terms of atomic mechanisms regarding which we could gain no definite knowledge, and who first found a way to interpret (or at least describe) spectroscopic phenomena without assuming the existence of such atomic mechanisms.
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Some Studies Concerning Rotating Axes and Polyatomic Molecules
TL;DR: In this article, the Brester-Wigner theory of small vibrations when the potential energy is invariant under the rotation displacement group is developed, and it is shown that the use of these coordinates implies the use a particular (normal) system of rotating axes whose construction is given.