منابع مشابه
Quantum Transformations
We show that the stationary quantum Hamilton–Jacobi equation of non–relativistic 1D systems, underlying Bohmian mechanics, takes the classical form with ∂q replaced by ∂q̂ where dq̂ = dq √ 1−β . The β term essentially coincides with the quantum potential that, like V − E, turns out to be proportional to a curvature arising in projective geometry. In agreement with the recently formulated equivale...
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A preferred form for the path integral discretization is suggested that allows the implementation of canonical transformations in quantum theory. 1 Canonical Transformations in Quantum Theory Canonical transformations are of great utility in classical theory [Goldstein, 1980]; however they do not work so well in quantum theory, giving rise to anomalous (order h̄) potential like terms [Gervais an...
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A quantum frame is defined by a material object subject to the laws of quantum mechanics. The present paper studies the relations between quantum frames, which in the classical case are described by elements of the Poincaré group. The possibility of using a suitable quantum group is examined, but some arguments are given which show that a different mathematical structure is necessary. Some simp...
متن کاملPhysical transformations between quantum states
Given two sets of quantum states {A1, . . . , Ak} and {B1, . . . , Bk}, represented as sets as density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T , represented as a trace-preserving completely positive map, such that T (Ai) = Bi for i = 1, . . . , k. General completely positive maps without the trace-preserving requirement, and un...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1998
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(98)00723-3