Abstract
We look at a method developed to convert second class constraints into first class. The method involves a certain operator introduced at the classical level. For two second class constraints, this operator is a projection operator. For more than two second class constraints, more than one operator, each one a projection operator by itself, are possible. We analyse here the conditions under which combinations of such operators are also projection operators.
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Reference
A.S. Vytheeswaran, Annals of Phys. 236, 297–324 (1994)
Acknowledgements
The author thanks DAE-BRNS, India and IIT Madras, India for the opportunity to present this work at the 23rd DAE-BRNS High Energy Physics Symposium. Funding under DST-PURSE Scheme of Department of Science & Technology, Government of India, is acknowledged.
The author wishes to acknowledge Dr. R Anishetty for raising the issue of Projection operators. He also thanks the University of Madras and the Head of Department of Theoretical Physics for constant encouragement.
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Vytheeswaran, A.S. (2021). Projection Operators in Second Class Constrained Systems. In: Behera, P.K., Bhatnagar, V., Shukla, P., Sinha, R. (eds) XXIII DAE High Energy Physics Symposium. DAEBRNS HEPS 2018 2018. Springer Proceedings in Physics, vol 261. Springer, Singapore. https://doi.org/10.1007/978-981-33-4408-2_121
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DOI: https://doi.org/10.1007/978-981-33-4408-2_121
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