Twistor theory and quantum mechanics

C. Oleari

doi:10.1007/bf02737688

Twistor theory and quantum mechanics

Il Nuovo Cimento B ◽

10.1007/bf02737688 ◽

1975 ◽

Vol 25 (1) ◽

pp. 390-398

Author(s):

C. Oleari

Keyword(s):

Quantum Mechanics ◽

Twistor Theory

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Massive particles, Kerr–Minkowski fields and singularity removal in relativistic quantum mechanics

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2007.1853 ◽

2007 ◽

Vol 463 (2083) ◽

pp. 1815-1826

Author(s):

Brian Bramson

Keyword(s):

General Relativity ◽

Quantum Mechanics ◽

Relativistic Quantum ◽

Radial Distance ◽

Unitary Representations ◽

Relativistic Quantum Mechanics ◽

Twistor Theory ◽

Kerr Field ◽

Singularity Removal ◽

Bounded Below

This paper concerns the spacetime locations of massive spinning particles in relativistic quantum mechanics. Using techniques from twistor theory and the unitary representations of the Lorentz group, it is shown that, for a particle of mass m and spin j , the radial distance from the particle to the observer is bounded below by . If the particle is the source of a Kerr–Minkowski field, the analogue of a Kerr field in general relativity, it is further shown that quantization removes the ring singularity if j is Fermionic or zero.

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Quantum-mechanical, gravitating Kerr–Newton particles

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1992.0149 ◽

1992 ◽

Vol 439 (1906) ◽

pp. 271-278 ◽

Cited By ~ 3

Keyword(s):

General Relativity ◽

Quantum Mechanics ◽

Relativistic Quantum ◽

Relativistic Quantum Mechanics ◽

Quantum Mechanical ◽

Twistor Theory ◽

Theory Of Gravitation

Newton’s theory of gravitation is extended to allow for sources with spin. Ideas from twistor theory are used while the laplacian relation between source and potential is retained. The resulting gravitational potentials display singularity structures analogous to those found in Kerr’s solutions in general relativity. However, incorporating the effects of non-relativistic quantum mechanics removes the singularity for sources with spins 1/2, 3/2, 5/2...

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