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  2. Quantum cognition - Wikipedia

    en.wikipedia.org/wiki/Quantum_cognition

    Quantum cognition uses the mathematical formalism of quantum probability theory to model psychology phenomena when classical probability theory fails. [1] The field focuses on modeling phenomena in cognitive science that have resisted traditional techniques or where traditional models seem to have reached a barrier (e.g., human memory), [2] and modeling preferences in decision theory that seem ...

  3. Quantum logic - Wikipedia

    en.wikipedia.org/wiki/Quantum_logic

    Modern philosophers reject quantum logic as a basis for reasoning, because it lacks a material conditional; a common alternative is the system of linear logic, of which quantum logic is a fragment. Mathematically, quantum logic is formulated by weakening the distributive law for a Boolean algebra, resulting in an ortho­complemented lattice.

  4. Interaction picture - Wikipedia

    en.wikipedia.org/wiki/Interaction_picture

    By utilizing the interaction picture, one can use time-dependent perturbation theory to find the effect of H 1,I, [15]: 355ff e.g., in the derivation of Fermi's golden rule, [15]: 359–363 or the Dyson series [15]: 355–357 in quantum field theory: in 1947, Shin'ichirō Tomonaga and Julian Schwinger appreciated that covariant perturbation ...

  5. Atomistix ToolKit - Wikipedia

    en.wikipedia.org/wiki/Atomistix_ToolKit

    Atomistix ToolKit is a further development of TranSIESTA-C, which in turn in based on the technology, models, and algorithms developed in the academic codes TranSIESTA, [3] and McDCal, [4] employing localized basis sets as developed in SIESTA.

  6. Counterfactual definiteness - Wikipedia

    en.wikipedia.org/wiki/Counterfactual_definiteness

    The subject of counterfactual definiteness receives attention in the study of quantum mechanics because it is argued that, when challenged by the findings of quantum mechanics, classical physics must give up its claim to one of three assumptions: locality (no "spooky action at a distance"), no-conspiracy (called also "asymmetry of time"), [4] [5] or counterfactual definiteness (or "non ...

  7. Fock state - Wikipedia

    en.wikipedia.org/wiki/Fock_state

    A quantum state in the Fock space is called a Fock state if it is an element of the occupancy number basis. A Fock state satisfies an important criterion: for each i , the state is an eigenstate of the particle number operator N k i ^ {\displaystyle {\widehat {N_{{\mathbf {k} }_{i}}}}} corresponding to the i -th elementary state k i .

  8. Mathematical formulation of quantum mechanics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    The phenomenology of quantum physics arose roughly between 1895 and 1915, and for the 10 to 15 years before the development of quantum mechanics (around 1925) physicists continued to think of quantum theory within the confines of what is now called classical physics, and in particular within the same mathematical structures.

  9. Spontaneous parametric down-conversion - Wikipedia

    en.wikipedia.org/wiki/Spontaneous_parametric...

    Schematic of SPDC process. Note that conservation laws are with respect to energy and momentum inside the crystal.. Spontaneous parametric down-conversion (also known as SPDC, parametric fluorescence or parametric scattering) is a nonlinear instant optical process that converts one photon of higher energy (namely, a pump photon) into a pair of photons (namely, a signal photon, and an idler ...