A singular Lagrangian model for N-body relativistic interactions. (English) Zbl 0592.70014
Summary: We reformulate a multitemporal model for N-particles by means of a constrained system described by a singular Lagrangian. We deduce the canonical transformation adapted to second-class constraints and discuss the quantization of the model.
MSC:
| 70F10 | \(n\)-body problems |
| 83C40 | Gravitational energy and conservation laws; groups of motions |
| 81V70 | Many-body theory; quantum Hall effect |
| 70H05 | Hamilton’s equations |
| 37J99 | Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems |
Keywords:
two particle harmonic oscillator; weak quantization; non-separable; interaction; bound stable problem; multitemporal model for N-particles; constrained system; singular Lagrangian; canonical transformation; second-class constraints; quantizationReferences:
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