On the Choice of Gauge Conditions for Systems with Secondary First Class Constraints | Zendy

Reiji Sugano | Zendy; Toshiei Kimura | Zendy

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On the Choice of Gauge Conditions for Systems with Secondary First Class Constraints

Author(s) -

Reiji Sugano,

Toshiei Kimura

Publication year - 1983

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.69.1256

Subject(s) - gauge (firearms) , physics , phase space , class (philosophy) , hamiltonian (control theory) , gauge theory , hamiltonian lattice gauge theory , space (punctuation) , mathematics , theoretical physics , mathematical physics , mathematical optimization , quantum mechanics , computer science , archaeology , artificial intelligence , history , operating system

A general formula is developed to consistently choose the gauge conditions by which the required number of descendant constraints is obtained through the algorithm for their stationar· ity and all first class constraints are converted to the second class ones. The gauge functions in the total HamiltOIi.ian of the system are determined at the final step after repeating, the same times as the number of secondary first class constraints, the algorithm with respect to the stationarity of the gauge constraints. The existence of such gauge constraints is really proved. The formulations are carried out not only in the phase space but also in the velocity phase space. Several examples are presented to illustrate the general formula.

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