Quantum logic

by Peter Mittelstaedt

[目次]

  • 1 / The Hilbert Space Formulation of Quantum Physics.- 1.1 The Hilbert Space.- 1.2 The Lattice of Subspaces of Hilbert Space.- 1.3 Projection Operators.- 1.4 States and Properties of a Physical System.- 2 / The Logical Interpretation of the Lattice Lq.- 2.1 The Quasimodular Lattice Lq.- 2.2 The Relation of Commensurability.- 2.3 The Material Quasi-implication.- 2.4 The Relation between Lattice Theory and Logic.- 3 / The Material Propositions of Quantum Physics.- 3.1 Elements of a Language of Quantum Physics.- 3.2 Argument-rules for Compound Propositions.- 3.3 Commensurability and Incommensurability.- 3.4 The Material Dialog-game.- 4 / The Calculus of Effective Quantum Logic.- 4.1 Formally True Propositions.- 4.2 Formal Dialogs with Material Commensurabilities.- 4.3 The Formal Dialog-game.- 4.4 The Calculus Qeff of Effective Quantum Logic.- 5 / The Lattice of Effective Quantum Logic.- 5.1 The Quasi-implicative Lattice Lqi.- 5.2 Properties of the Lattice Lqi.- 5.3 The Relation between Lqi and the Lattice Li.- 5.4 The Relation between Lqi and the Lattice Lq.- 6 / The Calculus of Full Quantum Logic.- 6.1 Value-definite Material Propositions.- 6.2 The Value-definiteness of Compound Propositions.- 6.3 The Extension of the Calculus Qeff.- 6.4 The Principle of Excluded Middle.- Concluding Remarks: Classical Logic and Quantum Logic.

「Nielsen BookData」より

[目次]

  • 1 / The Hilbert Space Formulation of Quantum Physics.- 1.1 The Hilbert Space.- 1.2 The Lattice of Subspaces of Hilbert Space.- 1.3 Projection Operators.- 1.4 States and Properties of a Physical System.- 2 / The Logical Interpretation of the Lattice Lq.- 2.1 The Quasimodular Lattice Lq.- 2.2 The Relation of Commensurability.- 2.3 The Material Quasi-implication.- 2.4 The Relation between Lattice Theory and Logic.- 3 / The Material Propositions of Quantum Physics.- 3.1 Elements of a Language of Quantum Physics.- 3.2 Argument-rules for Compound Propositions.- 3.3 Commensurability and Incommensurability.- 3.4 The Material Dialog-game.- 4 / The Calculus of Effective Quantum Logic.- 4.1 Formally True Propositions.- 4.2 Formal Dialogs with Material Commensurabilities.- 4.3 The Formal Dialog-game.- 4.4 The Calculus Qeff of Effective Quantum Logic.- 5 / The Lattice of Effective Quantum Logic.- 5.1 The Quasi-implicative Lattice Lqi.- 5.2 Properties of the Lattice Lqi.- 5.3 The Relation between Lqi and the Lattice Li.- 5.4 The Relation between Lqi and the Lattice Lq.- 6 / The Calculus of Full Quantum Logic.- 6.1 Value-definite Material Propositions.- 6.2 The Value-definiteness of Compound Propositions.- 6.3 The Extension of the Calculus Qeff.- 6.4 The Principle of Excluded Middle.- Concluding Remarks: Classical Logic and Quantum Logic.

「Nielsen BookData」より

この本の情報

書名 Quantum logic
著作者等 Mittelstaedt, Peter
シリーズ名 Synthese library
出版元 D. Reidel
刊行年月 c1978
ページ数 viii, 149 p.
大きさ 23 cm
ISBN 9789400998735
NCID BA05158276
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言語 英語
出版国 オランダ
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