1,721,163 research outputs found
Geometric Derivation of the Schrodinger-equation From Classical Mechanics In Curved Weyl Spaces
No full textOSSERVAZIONE ED ANALISI DELLE DINAMICHE COMPLESSE INDOTTE IN UN CRISTALLO LIQUIDO DAL TRASFERIMENTO DI MOMENTO ANGOLARE ORBITALE E DI SPIN
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Heisenberg uncertainty relations and average space curvature in geometric quantum mechanics
No full textA relationship between the position root-mean-square deviation of a quantum particle and average space curvature is derived in the framework of non-relativistic geometric quantum mechanics. It is shown that particle localization forces the space to be curved. Heisenberg's uncertainty relations are proved to be a consequence of the more fundamental position-curvature relation, provided the operational prescriptions of standard quantum mechanics are used
Gauge-invariant Statistical-mechanics and Average Action Principle For the Klein-gordon Particle In Geometric Quantum-mechanics
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Statistical Interpretation of the Klein-gordon Equation In Terms of the Space-time Weyl Curvature
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