# The many body problem in relativistic quantum mechanics

@article{Moshinsky2005TheMB, title={The many body problem in relativistic quantum mechanics}, author={Marcos Moshinsky and A. G. Nikitin}, journal={arXiv: High Energy Physics - Phenomenology}, year={2005} }

We discusse a relativistic Hamiltonian for an n-body problem in which all the masses are equal and all spins take value 1/2. In the frame of reference in which the total momentum $\v{P}=0$, the Foldy-Wouthuysen transformation is applies and the positive energy part of the Hamiltonian is separated. The Hamiltonian with unharmonic oscillator potential is applied to describe mass differences for charmonium and bottonium states.

## 9 Citations

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We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of proba- bility and Poincare…

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