On Unitary Evolution in Quantum Field Theory in
... new perspective on their dynamics [6-10]. In particular, this means that a priori there is not any single Hilbert space of states for the quantum field theory. Instead, a Hilbert space of states is associated with each hypersurface in spacetime. In the present paper these will be leaves of a certain ...
... new perspective on their dynamics [6-10]. In particular, this means that a priori there is not any single Hilbert space of states for the quantum field theory. Instead, a Hilbert space of states is associated with each hypersurface in spacetime. In the present paper these will be leaves of a certain ...
arXiv:1501.01373v2 [physics.hist
... t’Hooft in his most recent paper [9], (see also [10]), where discussing the mapping between the Bosonic quantum fields and the cellular automaton in two space-time dimensions, concluded that: “The states of the cellular automaton can be used as a basis for the description of the quantum field theory ...
... t’Hooft in his most recent paper [9], (see also [10]), where discussing the mapping between the Bosonic quantum fields and the cellular automaton in two space-time dimensions, concluded that: “The states of the cellular automaton can be used as a basis for the description of the quantum field theory ...
Uncertainty principle in view of quantum estimation theory
... Here, X in the left hand side of (17) is to be understood as a di erential operator, and (3) is de ned as (j ()i) = (). jli()i is de ned to be a horizontal lift of @i 2 T()(M) . It is proved that SLD CR bound is attainable i hlj jli i is real for any i; j . When SLD-CR bound is attainable, ...
... Here, X in the left hand side of (17) is to be understood as a di erential operator, and (3) is de ned as (j ()i) = (). jli()i is de ned to be a horizontal lift of @i 2 T()(M) . It is proved that SLD CR bound is attainable i hlj jli i is real for any i; j . When SLD-CR bound is attainable, ...
