| Subject classification: this is an information technology resource. | | Educational level: this is a tertiary (university) resource. | | Subject classification: this is a physics resource. | | Subject classification: this is a chemistry resource. | | Subject classification: this is a mathematics resource. | | Physics portal | | Mathematics portal | Welcome to the Department of Quantum Physics! COLLEGE OF SCIENCES School of Physical Sciences · School of Life Sciences · SchoolEngineering and Technology · School of Mathematics Biology · Chemistry · Computer Science ·Economics · Mathematics· Physics and Astronomy · * * Quantum physics, Wikiversity projects on the interpretation of quantum theories: * Département:Mécanique quantique * Département:Logique quantique * Quantum computing * Quantum Logics * w.Quantum Logics * Quantum physics at Wikipedia Feynman Diagram for Gluon Radiation Welcome also to the School of Physical Sciences! Welcome! 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See you around Wikiversity! --~~~~ ## Contents * 1 External links * 2 Bibliography * 3 Quantum Logics * 3.1 Notation Table * 4 See also ## External links[edit | edit source] * Quantum Physics Collaboration * Quanta- a new OJS journal * PlanetPhysics.org' MediaWiki version 1.17 Quantum Book Projects * Applied Quantum Systems and Quantum Theory Foundations--A PlanetPhysics.org collaboration * Q-logics of Quantum Automata * Quantum Algebra Textbook:"Quantum Algebra, Quantum Computers and Symmetries", 2011. 727 pages, free downloads, OpenSource, 27Mb PDF file * Łukasiewicz, or Polish, Notation ## Bibliography[edit | edit source] * [1]Chester, Marvin (1987) Primer of Quantum Mechanics. John Wiley. ISBN 0-486-42878-8 * [2] Griffiths, David J. (2004). Introduction to Quantum Mechanics (2nd ed.). Prentice Hall. ISBN 0-13-111892-7. OCLC 40251748. A standard undergraduate text. * [3] Richard Feynman, 1985. QED: The Strange Theory of Light and Matter, w:Princeton University Press. ISBN 0-691-08388-6. Four elementary lectures on w:quantum electrodynamics and w:quantum field theory, yet containing many insights for the expert. * [4] Dirac, P. A. M. (1930). The Principles of Quantum Mechanics. ISBN 0-19-852011-5. The beginning chapters make up a very clear and comprehensible introduction. * [5] Albert Messiah, 1966. Quantum Mechanics (Vol. I), English translation from French by G. M. Temmer. North Holland, John Wiley & Sons. Cf. chpt. IV, section III. * [6] Omnès, Roland (1999). Understanding Quantum Mechanics. Princeton University Press. ISBN 0-691-00435-8. OCLC 39849482. * [7] von Neumann, John (1955). Mathematical Foundations of Quantum Mechanics. Princeton University Press. ISBN 0-691-02893-1. * [8] Hermann Klaus Hugo Weyl, FRS, 1950. The Theory of Groups and Quantum Mechanics, Dover Publications. * [9] D. Greenberger, K. Hentschel, F. Weinert, eds., 2009. Compendium of quantum physics, Concepts, experiments, history and philosophy, Springer-Verlag, Berlin, Heidelberg. * ... more to come * [12] Brown R (2004) Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems. In: Proceedings of the Fields Institute Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories, September 23-28, 2004, Fields Institute Communications 43:101-130. * [13] Brown R, Hardie K A, Kamps K H, and Porter T (2002) A homotopy double groupoid of a Hausdorff space. Theory and Applications of Categories 10:71-93. * [14] Georgescu G, and Popescu D (1968) On Algebraic Categories. Revue Roumaine de Mathematiques Pures et Appliquées 13:337-342. * [15] Georgescu G, and Vraciu C (1970) On the Characterization of Łukasiewicz Algebras. J. Algebra, 16 (4):486-495. * [16] Georgescu G (2006) N-valued Logics and Łukasiewicz-Moisil Algebras. Axiomathes 16 (1-2): 123-136. * [17] Landsman N P (1998) Mathematical topics between classical and quantum mechanics. Springer Verlag, New York. ## Quantum Logics[edit | edit source] ### Notation Table[edit | edit source] Polish- or Łukasiewicz's notation for logic * The table below shows the core of w:Jan Łukasiewicz's notation for w:sentential logic, or Propositional Logic. The "conventional" notation did not become so until the 1970s and 80s. Some letters in the Polish notation table means a certain word in Polish, as shown: Concept | Conventional notation | Polish notation | Polish / English word | | | w:Negation | ¬ ϕ {\displaystyle \neg \phi } | Nφ | negation (No)} Conjunction | ϕ ∧ ψ {\displaystyle \phi \land \psi } | Kφψ | conjunction w:Disjunction | ϕ ∨ ψ {\displaystyle \phi \lor \psi } | Aφψ | alternate OR=disjunction w:Material conditional | ϕ -> ψ {\displaystyle \phi \to \psi } | Cφψ | implication w:Biconditional | ϕ ↔ ψ {\displaystyle \phi \leftrightarrow \psi } | Eφψ | equivalence' w:Falsum | ⊥ {\displaystyle \bot } | O | False value w:Sheffer stroke | ϕ ∣ ψ {\displaystyle \phi \mid \psi } | Dφψ | Sheffer stroke Possibility | ◊ ϕ {\displaystyle \Diamond \phi } | Mφ | contingent Necessity | ◻ ϕ {\displaystyle \Box \phi } | Lφ | Necessary condition w:Universal quantifier | Πpφ | kwantyfikator ogólny | ANY: For all p, \phi|Universal quantifier Existential quantifier | ∃ p ϕ {\displaystyle \exists p\,\phi } | Σpφ | Exists * Note that the quantifiers ranged over propositional values in Łukasiewicz's work on many-valued logics. * Portal:Mathematics * Portal:Physical Sciences ## See also[edit | edit source] * Quantum mechanics * Quantum biology * Quantum mechanics * Photosynthesis * Mathematical biophysics * Logique quantique, in Faculté de Physique