Abstract
Exact classical solutions of the equations of motion for the infinite relativistic string loaded with a point-like mass are obtained in terms of the Fourier integrals. The gauge when the time evolution parameter τ is proportional to the proper time of a point-like particle is used. The gauge conditions in this case are the second-class constraints. So in the quantum case the commutators of the dynamical variables have to be defined by the Dirac brackets.
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References
NumbuY., Phys. Rev. D10, 4262 (1974);
BarsI., Nucl. Phys. B111, 413 (1976).
ChodosA. and ThornC.B., Nucl. Phys. B72, 509 (1974);
FramptonP.H., Phys. Rev. D12, 538 (1975).
BarbashovB.M. and NesterenkoV.V., Theoretical and Mathematical Physics (in Russian) 31, 291 (1977);
BarbashovB.M., Nucl. Phys. B129, 175 (1977).
BarbashovB.M. and ChernikovN.A., Soviet Physics JETP 23, 861 (1966).
DiracP.A.M., Lectures on Quantum Mechanics, Belfer Graduate School of Science, Yeshiva University, New York, 1964.
Hanson, A.J., Regge, T., and Teitelboim, C., Constrained Hamiltonian Systems, Princeton Preprint, 1975.
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Barbashov, B.M., Nesterenko, V.V. & Chervjakov, A.M. Infinite relativistic string with a point-like mass. Lett Math Phys 2, 291–295 (1978). https://doi.org/10.1007/BF00419617
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DOI: https://doi.org/10.1007/BF00419617