Quantum physics

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[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.

[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.

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	$\neg \phi$	Nφ	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	$\Diamond \phi$	Mφ	contingent
Necessity	$\Box \phi$	Lφ	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.