Eigenforms, Discrete Processes and Quantum Processes
نویسندگان
چکیده
منابع مشابه
Discrete Quantum Processes
A discrete quantum process is defined as a sequence of local states ρt, t = 0, 1, 2, . . ., satisfying certain conditions on an L2 Hilbert space H. If ρ = lim ρt exists, then ρ is called a global state for the system. In important cases, the global state does not exist and we must then work with the local states. In a natural way, the local states generate a sequence of quantum measures which i...
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We define thermodynamic configurations and identify two primitives of discrete quantum processes between configurations for which heat and work can be defined in a natural way. This allows us to uncover a general second law for any discrete trajectory that consists of a sequence of these primitives, linking both equilibrium and non-equilibrium configurations. Moreover, in the limit of a discret...
متن کاملEigenforms and Quantum Physics
Our essay begins with explication of the notion of eigenform as pioneered by Heinz von Foerster in his papers (Foerster, 1981, pp. 258–271, pp. 274–285, pp. 288–309) and explored in papers of the author (Kauffman, 2003, pp. 73–90, 2005, pp. 129–150; 2009, pp. 121–137, 2010, pp. 48–89). In Foerster (1981, pp. 274–285) the familiar objects of our existence can be seen as tokens for the behaviors ...
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A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.
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– We calculate the quantum variance for the modular surface. This variance, introduced by S. Zelditch, describes the fluctuations of a quantum observable. The resulting quadratic form is then compared with the classical variance. The expectation that these two coincide only becomes true after inserting certain subtle arithmetic factors, specifically the central values of corresponding L-functio...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2012
ISSN: 1742-6596
DOI: 10.1088/1742-6596/361/1/012034