Hamiltonization of the Singular Systems with Hessian Variable Rank

An Min Wang, Tu Nan Ruan · Communications in Theoretical Physics · 1996

The difficulties in Dirac's algorithm of Hamiltonization are discussed. By comparison of Sudarshan and Mukunda's approach dealing with the singular systems with Hessian variable rank, we study in detail the validity, application and presupposition of our extended Dirac's consistency conditions. It is given and shown that the Hamiltonization of the general singular systems with the varying rank Hessian matrix can be carried out by the algorithm of the extended Dirac's consistency conditions.

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