[PDF] Top 20 Hilbert Space Quantum Mechanics is Contextual (Reply to R. B. Griffiths)

... In QM, contrary to the classical scheme, physical magnitudes are rep- resented by operators on H that, in general, do not commute. This math- ematical fact has extremely problematic interpretational consequences for it ... See full document

... in quantum mechanics is usually a rough procedure that destroys many properties of the ...the Hilbert space construction, as in the language of Hilbert spaces, measurement conducted on ... See full document

... approaching quantum/noncommutative models for the deep micro- scopic spacetime in mind, and inspired by our recent picture of the (projec- tive) Hilbert space as the model of physical space ... See full document

... the Hilbert-space model to generate its own structure of mutually exclusive events does not mean that one has eventually disclosed how an essentially wave-like interferring reality may have emergent ... See full document

... abstract space like metric, Hilbert, or Banach spaces without physical or experimental ...physical space, in addition to the logical and theoretical approach, an experimental or physical ... See full document

... a quantum state ...a quantum state using the mutual information between different factors in Hilbert ...a quantum state evolving in Hilbert space, show how the geometry of ... See full document

... information space we show that the hidden variable are not ...a quantum expected val- ue under an assumption about the existence of the Bloch sphere in N spin-1/2 ...of quantum mechanics does ... See full document

... classical mechanics, new compactified trigonometric Ruijsenaars–Schneider n-particle systems, with phase space symplectomorphic to the (n− 1)-dimensional complex projective ...corresponding quantum ... See full document

... of quantum mechanics as there was need for description of physical ...mathematics, quantum mechanics began at the time of Von Neumann when he introduced the concept of a finite dimensional ... See full document

... two‐Hilbert space formalism is first used to develop a general class of representations for the quantum mechanics of N‐particle reactive ...N‐particle Hilbert space HN is ... See full document

... of quantum mechanics by Werner Heisenberg is "Principle of uncertainty", which carries his ...by quantum theory (experiments statistically ...of quantum mechanics can be ... See full document

... treated as a classical, coherent field. On the other hand, the Husimi distribution is the coherent state expectation value of the density matrix. In a sense, the Husimi distribution aims to maximize the classical aspects ... See full document

... just the field’s vector potential. The field energies are discretized by Plank’s theory, corresponding to quanta called photons by Einstein. Dirac first recognized that the dynamical properties of light wave functions ... See full document

... A : We provide exact analytical solutions for a two dimensional explicitly time- dependent non-Hermitian quantum system. While the time-independent variant of the model studied is in the broken PT-symmetric phase ... See full document

... in Hilbert space in this paper, and also in Aerts et ...in Hilbert space and quantum collapse, as a ‘change of state of the considered concepts ... See full document

... ‘topos quantum theory’ (TQT) is actually only one of several attempts to use topos theory to gain new insight into the mathematical and conceptual structure of quan- tum theory (see ... See full document

... quantum-mechanical statistics. Contrary to the Albert-Loewer many-minds interpretation, there is just one mind per observer, and contrary to the Albert-Loewer single-mind interpretation, the experiences that the ... See full document

... a quantum violation of the weak equivalence principle following from the explicit coupling of curvature with the mass-dependent reduced Compton wavelength ¯ λ, along with a simultaneous prediction of a ... See full document

... on Hilbert space to its fuzzy version over fuzzy number space embedded with fuzzy number ...fuzzy Hilbert space over fuzzy number space with fuzzy number ...fuzzy Hilbert ... See full document

... Everettian quantum mechanics, there is another way to achieve a quantum theory without observers available that takes a completely different direction: instead of starting from the quantum ... See full document