* 1868 – Arnold Sommerfeld, German physicist ( d. 1951 )

Sommerfeld ( 1910 ) gave a trigonometric formulation of velocities, and Vladimir Varićak ( 1912 ) emphasized the similarity of this formulation to ( Bolyai-Lobachevskian ) hyperbolic geometry and tried to reformulate relativity using that non-euclidean geometry.

So the built output of Bauhaus architecture in these years is the output of Gropius: the Sommerfeld house in Berlin, the Otte house in Berlin, the Auerbach house in Jena, and the competition design for the Chicago Tribune Tower, which brought the school much attention.

The most sophisticated example of this is the Sommerfeld – Wilson – Ishiwara quantization rule, which was formulated entirely on the classical phase space.

The first hypothesis regarding faster-than-light particles is sometimes attributed to German physicist Arnold Sommerfeld in 1904, and more recent discussions happened in 1962 and 1969.

Thus the Green's function describes the influence at of the data f and g. For the case of the interior of a sphere of radius a, the Green's function may be obtained by means of a reflection ( Sommerfeld, 1949 ): the source point P at distance ρ from the center of the sphere is reflected along its radial line to a point P that is at a distance

The knife-edge effect is an outgrowth of the half-plane problem, originally solved by Arnold Sommerfeld using a plane wave spectrum formulation.

It is possible to rotate objects with discrete orientations to produce superpositions of other discrete orientations, and this resolves the intuitive paradoxes of the Sommerfeld model.

He is known for his theory of the chemical bond ( ionic bond / octet rule ), the Sommerfeld – Kossel displacement law, and other achievements.

Here, z < sub > S </ sub > is the universal constant ( called here the Sommerfeld supply density ):

Since, for a free-electron model, the contribution to the current density is directly proportional to the area in energy space ( with the Sommerfeld supply density z < sub > S </ sub > as the constant of proportionality ), it is useful to think of the ECD as drawn from electron states in an area of size d < sub > F </ sub >< sup > 2 </ sup > ( measured in eV < sup > 2 </ sup >) in the energy-space diagram.

The Bogomol ' nyi – Prasad – Sommerfeld bound ( named after Eugène Bogomolny, Manoj Prasad, and Charles Sommerfield ) is a series of inequalities for solutions of partial differential equations depending on the homotopy class of the solution at infinity.

The model was extended in 1905 by Hendrik Antoon Lorentz ( and hence is also known as the Drude – Lorentz model ) and was supplemented with the results of quantum theory in 1933 by Arnold Sommerfeld and Hans Bethe.

It is worth noting that this expression was first obtained by A. Sommerfeld based on the old Bohr theory, i. e., before the modern quantum mechanics was formulated.

It was developed principally by Arnold Sommerfeld who combined the classical Drude model with quantum mechanical Fermi-Dirac statistics and hence it is also known as the Drude – Sommerfeld model.

It lies just to the northeast of the crater Sommerfeld, and Hippocrates is located to the east-northeast.

Due north of Rowland, within one crater diameter, is Sommerfeld.

In order to solve this equation uniquely, one needs to specify a boundary condition at infinity, which is typically the Sommerfeld radiation condition

The semiclassical hydrogen atom is called the Sommerfeld model, and its orbits are ellipses of various sizes at discrete inclinations.

Bohr – Sommerfeld theory is a part of the development of quantum mechanics and describes the possibility of atomic energy levels being split by a magnetic field.

This determined the form of the Bohr – Sommerfeld quantization rule: the quantum number is the area in phase space of the classical orbit.

Sommerfeld is a large lunar crater that is located in the far northern latitudes of the Moon.

* Sommerfeld radiation condition

For infinite exterior domains, a radiation condition may also be required ( Sommerfeld, 1949 ).

Gropius's design for the Dessau facilities was a return to the futuristic Gropius of 1914 that had more in common with the International style lines of the Fagus Factory than the stripped down Neo-classical of the Werkbund pavilion or the Völkisch Sommerfeld House.

The Sommerfeld model and spin models for ferromagnetism illustrated the successful application of quantum mechanics to condensed matter problems in the 1930s.

* 1921 Sommerfeld House, Berlin, Germany designed for Adolf Sommerfeld

This step was taken by Sommerfeld, who proposed the general quantization rule for an integrable system:

The connection between the An: Anum list and the list in Enuma Elish were established by Walther Sommerfeld ( 1982 ), who used the correspondence to argue for a Kassite period composition date of the Enuma elish, although the direct derivation of the Enuma elish list from the An: Anum one was disputed in a review by Wilfred Lambert ( 1984 ).

In the period 1911 to 1930, as physical understanding of the behaviour of electrons in metals increased, various different theoretical expressions ( based on different physical assumptions ) were put forwards for A < sub > G </ sub >, by Richardson, Saul Dushman, Ralph H. Fowler, Arnold Sommerfeld and Lothar Wolfgang Nordheim.

The Zephyr Development Team ( Mark W. Eichin, Robert S. French, David C. Jedlinsky, John T. Kohl, William E. Sommerfeld ) was responsible for the creation of the initial code-base and the subsequent releases that were issued throughout the late 1980s.

* Arnold Sommerfeld Center for Theoretical Physics

While a professor in Königsberg, Lindemann acted as supervisor for the doctoral theses of David Hilbert, Hermann Minkowski, and Arnold Sommerfeld.

In 1907, he continued his mathematical studies at the Ludwig Maximilians University of Munich ( LMU ), under Arnold Sommerfeld at his Institute for Theoretical Physics.

It was not until June of that year that Ewald heard Sommerfeld report to the Physikalische Gesellschaft of Göttingen on the successful diffraction of X-rays by Max von Laue, Paul Knipping and Walter Friedrich at LMU, for which Laue would be awarded the Nobel Prize in Physics, in 1914.

In 1912, Hilbert asked his friend and colleague Arnold Sommerfeld to send him a special assistant for physics.

Sommerfeld sent Ewald, who was dubbed as “ Hilbert ’ s tutor for physics ,” and he performed this function until 1913, when Sommerfeld sent another one of his students, Alfred Landé.

This ignited a major new area of research for Sommerfeld and his students – the study and interpretation of atomic spectra and molecular band spectroscopy and theoretical modeling of atomic and molecular structure.

The institute was modeled after Sommerfeld ’ s Institute for Theoretical Physics at Munich, in that it would conduct theoretical work as well as have space and equipment for experimental work.

Main predictions of the free-electron model are derived by the Sommerfeld expansion of the Fermi-Dirac occupancy for energies around the Fermi level.

The main tool was Bohr – Sommerfeld quantization, a procedure for selecting out certain discrete set of states of a classical integrable motion as allowed states.