A solvable quantum-mechanical model with nonlinear transformation laws

Velo, G.; Wess, J.

doi:10.1007/BF02722620

A solvable quantum-mechanical model with nonlinear transformation laws

1971

11 pages

Published in:

Nuovo Cim.A 1 (1971) 177-187

DOI:

10.1007/BF02722620

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Abstract: (Springer)

A quantum-mechanical model with three degrees of freedom and a nonlinearly realized Lorentz group is solved exactly. Moreover, it is shown that even after breaking the symmetry by a linearly transforming term the model remains solvable. In both cases the spectrum of the Hamiltonian is investigated and found to be positive.

quantum mechanics: model
transformation
group theory: lorentz
symmetry: broken

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