Quantum-mechanical generalization of the Biot-Savart Law

Details Quantum-mechanical generalization of the Biot-Savart Law Quantum-mechanical generalization of the Biot-Savart Law

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978ncimb..45...53f&link_type=abstract

Nuovo Cimento, Sezione B, vol. 45 B, May 11, 1978, p. 53-67.

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Applications

Gravitational Collapse, Quantum Mechanics, Stellar Evolution, Stellar Magnetic Fields, Astronomical Models, Electrodynamics, Electromagnetic Fields, Loop Antennas

Scientific paper

A quantum-mechanical generalization is presented for the Biot-Savart Law, which has applications to the determination of the magnetic field created at any point in space by a current of arbitrary geometry and to the study of magnetic effects on currents. A general expression for a magnetic field generated by a quantized current is employed to analyze problems of classical electrodynamics, in particular those involving a circular loop, a solenoid or a straight wire. The quantum-mechanical version of the Biot-Savart Law also has relevance to the study of the origins of magnetic fields in collapsed stellar objects.

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