Quantum physics

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Welcome to the Department of Quantum Physics!
COLLEGE OF SCIENCES
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Feynman Diagram for Gluon Radiation


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Contents

External links [edit]

Bibliography [edit]


  • ... 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]

Notation Table [edit]

Polish- or Łukasiewicz's notation for logic

Concept Conventional
notation
Polish
notation
Polish / English
word
w:Negation \neg\phi negation (No)}
Conjunction \phi\land\psi Kφψ conjunction
w:Disjunction \phi\lor\psi Aφψ alternate OR=disjunction
w:Material conditional \phi\to\psi Cφψ implication
w:Biconditional \phi\leftrightarrow\psi Eφψ equivalence'
w:Falsum \bot O False value
w:Sheffer stroke \phi\mid\psi Dφψ Sheffer stroke
Possibility \Diamond\phi contingent
Necessity \Box\phi Necessary condition
w:Universal quantifier Πpφ kwantyfikator ogólny ANY:

For all p, \phi|Universal quantifier

Existential quantifier \exists p\,\phi Σpφ Exists
  • Note that the quantifiers ranged over propositional values in Łukasiewicz's work on many-valued logics.

See also [edit]