Quantisation of Hamiltonians from highorder lagrangians
Abstract
There is yet to be a complete quantum mechanical version of the FokkerFeynman model for manyparticle systems with interactions of electromagnetic origin, because the corresponding Lagrangian is of infinite order. It is still an open question as to how the resultant Hamiltonian should be quantised. It is shown, using a simple illustrative example, that a straightforward means of quantising such systems exists, leading to a natural extension of standard quantum mechanics.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 March 1989
 DOI:
 10.1016/09205632(89)904982
 Bibcode:
 1989NuPhS...6..455S