Geodesic
Relativistic string with massive ends
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 291-299

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Classical and quantum theory of relativistic string with point masses at the ends is considered. Solutions of dynamic equations are found for a class of motions, for which the parameter of time evolution $\tau$ is proportional to the proper time of each of particles at the ends of the string. In this case solution of the linear boundary problem is expressed in terms of the Fourier series. Restrictions on the Fourier amplitudes which follow from the orthogonal gauge conditions, are very different from the conditions for free string. The mass, momentum and angular momentum of the system are evaluated. 
@article{TMF_1977_31_3_a0,
     author = {B. M. Barbashov and V. V. Nesterenko},
     title = {Relativistic string with massive ends},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {291--299},
     publisher = {mathdoc},
     volume = {31},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a0/}
}
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B. M. Barbashov; V. V. Nesterenko. Relativistic string with massive ends. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 291-299. http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a0/