• DOI:10.1007/978-1-4612-1422-9_3
Corpus ID: 6655727

Geometrical Formulation of Quantum Mechanics

@article{Ashtekar1999GeometricalFO,
  title={Geometrical Formulation of Quantum Mechanics},
  author={A. Ashtekar and Troy A. Schilling},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={1999},
  pages={23-65}
}

A. Ashtekar, Troy A. Schilling

Published 1999

Physics

arXiv: General Relativity and Quantum Cosmology

States of a quantum mechanical system are represented by rays in a complex Hilbert space. The space of rays has, naturally, the structure of a Uhler manifold. This leads to a geometrical formulation of the postulates of quantum mechanics which, although equivalent to the standard algebraic formulation, has a very different appearance. In particular, states are now represented by points of a symplectic manifold (which happens to have in addition a compatible Riemannian metric), observables are… CONTINUE READING

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