# The development of the quantum mechanical electron theory of metals: 1900-28

@article{Hoddeson1980TheDO, title={The development of the quantum mechanical electron theory of metals: 1900-28}, author={Lillian Hoddeson and Gordon Baym}, journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences}, year={1980}, volume={371}, pages={23 - 8} }

The development of the electron theory of metals from Drude’s free electron picture to Bloch’s quantum mechanical treatment of electrons in crystal lattices reflects in structure the evolution of quantum mechanics itself. As in that development, the steps leading to the quantum theory of metals may be divided into three periods: classical, 1900-26; semi-classical, 1926-8; and modern, late 1928 onwards. The classical period was dominated by the model of Drude and Lorentz in which a metal…

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## References

SHOWING 1-10 OF 50 REFERENCES

Quantum Mechanics of Many-Electron Systems

- Physics
- 1929

The general theory of quantum mechanics is now almost complete, the imperfections that still remain being in connection with the exact fitting in of the theory with relativity ideas. These give rise…

A Theory of Electrons and Protons

- Physics
- 1930

The relativity quantum theory of an electron moving in a given electromagnetic field, although successful in predicting the spin properties of the electron, yet involves one serious difficulty which…

On the Theory of quantum mechanics

- Mathematics
- 1926

The new mechanics of the atom introduced by Heisenberg may be based on the assumption that the variables that describe a dynamical system do not obey the commutative law of multiplication, but…

On the Constitution of Metallic Sodium. II

- Physics
- 1933

Previous developments in the theory of metals may be divided clearly into two parts: that based principally upon the hypothesis of free electrons and dealing with conductivity properties, and that…

The Metallic State

- ChemistryNature
- 1922

RECENT advances in our knowledge of the structure of the atom have added very little to the elucidation of the nature of the metallic state, and in this connexion a very suggestive paper by Prof. C.…

Quantised Singularities in the Electromagnetic Field

- Physics
- 1931

The steady progress of physics requires for its theoretical formulation a mathematics that gets continually more advanced. This is only natural and to be expected. What, however, was not expected by…

Some remarks on the theory of superconductivity

- Physics
- 1966

SUPERCONDUCTIVITY THEORY has been approached in several ways. The most direct but also the most difficult is the attempt to derive all facts from a detailed microscopic theory, and the most…

The electromagnetic equations of the supraconductor

- Physics
- 1935

Electric currents are commonly believed to persist in a supra-conductor without being maintained by an electromagnetic field. Thus the relation between the field strength E and the current density J…

The Dynamical Theory of Gases

- PhysicsNature
- 1905

IN a letter to NATURE (April 13) Lord Rayleigh makes a criticism on my suggested explanation of the well known difficulty connected with the specific heats of a gas. He considers a gas bounded by a…

The discovery of the diffraction of X-rays by crystals; a critique of the myths

- History
- 1969

1 The date of the discovery has, to my knowledge, not been published heretofore. (Cf., however, in note 3, below, the date of the tenth anniversary issue oiNaturwiss.) It is stated in the document…