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hep-th1993
Statistics in the Propositional Formulation of Quantum Mechanics
Dan Radu Grigore
We give a definition for the notion of statistics in the lattice-theoretical (or propositional) formulation of quantum mechanics of Birchoff, von Neumann and Piron. We show that th…
hep-th1993
Higher-Order Lagrangian Theories and Noetherian Symmetries
Dan Radu Grigore
A geometric global formulation of the higher-order Lagrangian formalism for systems with finite number of degrees of freedom is provided. The formalism is applied to the study of s…
hep-th1993
On the Uniqueness of the Newton-Wigner Position Operator
Dan Radu Grigore
It is shown that the quantum position operator of Newton and Wigner for non-zero mass systems is uniquely determined if one imposes a quantum ''manifest covariance'' condition of t…