Possibility of Geometrical Interpretation of Quantum Mechanics and Geometrical Meaning of “Hidden Variables”
نویسندگان
چکیده
منابع مشابه
Geometrical Formulation of Quantum Mechanics
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 Kähler 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 sy...
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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 KK ahler manifold. This leads to a geometrical formulation of the postulates of quantum mechanics which, although equivalent to the standard algebraic formulation , has a very diierent appearance. In particular, states are now represented by points of a ...
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The standard approach to classical dynamics is to form a Lagrangian which is a function of n generalized coordinates qi, n generalized velocities q̇i and parameter τ . The 2n variables qi, q̇i form the tangent bundle TQ. The passage from TQ to the cotangent bundle T ∗Q is achieved by introducing generalized momenta and a Hamiltonian. However, this procedure requires that the rank of Hessian matrix
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ژورنال
عنوان ژورنال: Journal of Modern Physics
سال: 2021
ISSN: 2153-1196,2153-120X
DOI: 10.4236/jmp.2021.123025