Ultimate Intelligence Part I: Physical Completeness and Objectivity
... where x ∈ D is any d-ary message written in an alphabet D, M is any physical machine (finite mechanism) that emits the message x (denoted M → x), and V (M ) is the volume of machine M . M is supposed to contain all physical computers that can emit message x. Equation 5 is too abstract and it would h ...
... where x ∈ D is any d-ary message written in an alphabet D, M is any physical machine (finite mechanism) that emits the message x (denoted M → x), and V (M ) is the volume of machine M . M is supposed to contain all physical computers that can emit message x. Equation 5 is too abstract and it would h ...
Impurity and soliton dynamics in a Fermi gas with nearest
... sites hnbj nbj+1 i and empty sites or holes hnhj nhj+1 i = h(1 − nbj )(1 − nbj+1 )i as functions of time. They correspond respectively to the distributions of solitons and antisolitons. Note that the measurement of such correlations is well within reach of experiments with quantum gas microscopes [4 ...
... sites hnbj nbj+1 i and empty sites or holes hnhj nhj+1 i = h(1 − nbj )(1 − nbj+1 )i as functions of time. They correspond respectively to the distributions of solitons and antisolitons. Note that the measurement of such correlations is well within reach of experiments with quantum gas microscopes [4 ...
Infinite Square Well.wxp
... Since we define the probability in terms of the square of the absolute magnitude of the wavefunction, the time dependent terms of a particular eigenfunction cancel so that the probability density of an eigenfunction is time independent! This is a direct consequence of the fact that the solution to S ...
... Since we define the probability in terms of the square of the absolute magnitude of the wavefunction, the time dependent terms of a particular eigenfunction cancel so that the probability density of an eigenfunction is time independent! This is a direct consequence of the fact that the solution to S ...
... especially in connection with the quantum information theories, and of projective geometries of abstract higher-dimensions (Rau, 2009). These pursuits are founded upon the probability interpretation of the quantum wave functions so that they easily involve dimensions more than four (Barut& Bracken, ...
Outline of Section 6
... The remaining approximations These results are not exact because we have made several approximations. • We have neglected the motion of the nucleus. To fix this we should replace me by the reduced mass μ. This improves agreement with experiment by an order of magnitude (simple formula gives spectra ...
... The remaining approximations These results are not exact because we have made several approximations. • We have neglected the motion of the nucleus. To fix this we should replace me by the reduced mass μ. This improves agreement with experiment by an order of magnitude (simple formula gives spectra ...
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... these, which denote as ‘classical’ light by definition{. In terms of the P-representation we then understand light as non-classical if it exhibits negative contributions. Translating this condition to the photon number statistics they become non-classical if they cannot be described by a mixture of P ...
... these, which denote as ‘classical’ light by definition{. In terms of the P-representation we then understand light as non-classical if it exhibits negative contributions. Translating this condition to the photon number statistics they become non-classical if they cannot be described by a mixture of P ...
Quantum Biology at the Cellular Level
... especially their electronic structure, electron/energy transfer kinetics, and the analysis of nonclassical forces in chemical reactions and bonding. Notably, electron tunneling has been established as a common mechanism in enzymatic reaction. Particularly striking is the apparent role of tunneling o ...
... especially their electronic structure, electron/energy transfer kinetics, and the analysis of nonclassical forces in chemical reactions and bonding. Notably, electron tunneling has been established as a common mechanism in enzymatic reaction. Particularly striking is the apparent role of tunneling o ...
Necessary and Sufficient Conditions for an Quantum Mechanical Systems
... There has been recent work translating the value assignment proofs into probabilistic inequalities (sometimes called Kochen-Specker inequalities), giving necessary conditions for noncontextuality [2,26]. Inequalities that do not use value-assignment restrictions but only the assumption of noncontext ...
... There has been recent work translating the value assignment proofs into probabilistic inequalities (sometimes called Kochen-Specker inequalities), giving necessary conditions for noncontextuality [2,26]. Inequalities that do not use value-assignment restrictions but only the assumption of noncontext ...
Quantum Symmetric States - UCLA Department of Mathematics
... The tail σ-algebra is the intersection of the σ-algebras generated by {xN , xN +1 , . . .} as N goes to ∞. Thus, the expectation E can be seen as an integral (w.r.t. a probability measure on the tail algebra) — that is, as a sort of convex combination — of expectations with respect to which the rand ...
... The tail σ-algebra is the intersection of the σ-algebras generated by {xN , xN +1 , . . .} as N goes to ∞. Thus, the expectation E can be seen as an integral (w.r.t. a probability measure on the tail algebra) — that is, as a sort of convex combination — of expectations with respect to which the rand ...
G25.2666: Quantum Mechanics II
... If the Hamiltonian is independent of spin, then it is clear that the total spin of an N -particle system S= ...
... If the Hamiltonian is independent of spin, then it is clear that the total spin of an N -particle system S= ...
Factorization Method and the Position
... The problem of describing the motion of systems endowed with position-dependent mass (PDM) has attracted interest since they appear in many physical problems. These include, e.g., the study of the electronic properties of semiconductors [1–3], quantum dots [4], the description of the dynamics of non ...
... The problem of describing the motion of systems endowed with position-dependent mass (PDM) has attracted interest since they appear in many physical problems. These include, e.g., the study of the electronic properties of semiconductors [1–3], quantum dots [4], the description of the dynamics of non ...
