Abstract
A new form of the variation principle is given using the sum T of the Lagrangian L and the Hamiltonian as an action function. This new form of the variational principle enables us to find a new special action function, which conserves the chief features of Born's theory while changing some of its former results. To a given charge correspond two static solutions with central symmetry, one giving a finite, the other an infinite energy. The potential of the one (light) particle is analogous to that in Born's theory while the potential of the other resembles a potential barrier. Also, by using the new action function, the symmetry between electric and magnetic fields ceases to exist.
Dates
Type | When |
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Created | 16 years, 9 months ago (Nov. 7, 2008, 6:02 a.m.) |
Deposited | 6 years, 2 months ago (June 8, 2019, 12:28 p.m.) |
Indexed | 1 month, 4 weeks ago (July 7, 2025, 4:25 a.m.) |
Issued | 89 years, 8 months ago (Jan. 1, 1936) |
Published | 89 years, 8 months ago (Jan. 1, 1936) |
Published Online | 16 years, 10 months ago (Oct. 24, 2008) |
Published Print | 89 years, 8 months ago (Jan. 1, 1936) |
@article{Infeld_1936, title={The New Action Function and the Unitary Field Theory}, volume={32}, ISSN={1469-8064}, url={http://dx.doi.org/10.1017/s0305004100018922}, DOI={10.1017/s0305004100018922}, number={1}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Infeld, L.}, year={1936}, month=jan, pages={127–137} }