# Generalized quantum mechanics

@article{Mielnik1974GeneralizedQM, title={Generalized quantum mechanics}, author={Bogdan Mielnik}, journal={Communications in Mathematical Physics}, year={1974}, volume={37}, pages={221-256} }

A convex scheme of quantum theory is outlined where the states are not necessarily the density matrices in a Hilbert space. The physical interpretation of the scheme is given in terms of generalized “impossibility principles”. The geometry of the convex set of all pure and mixed states (called a statistical figure) is conditioned by the dynamics of the system. This provides a method of constructing the statistical figures for non-linear variants of quantum mechanics where the superposition…

## 207 Citations

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