Probing the structure of quantum mechanics : nonlinearity, nonlocality, computation, axiomatics : Brussels, Belgium, June 2000 / editors, Diederik Aerts, Marek Czachor, Thomas Durt.

Format:

Book

Contributor:

Aerts, Diederik, 1953-

Czachor, Marek.

Durt, Thomas.

Language:

English

Subjects (All):

Quantum theory.

Physical Description:

1 online resource (401 p.)

Edition:

1st ed.

Other Title:

Quantum mechanics

Place of Publication:

River Edge, NJ : World Scientific, c2002.

Language Note:

English

Summary:

During the last decade, scientists working in quantum theory have been engaging in promising new fields such as quantum computation and quantum information processing, and have also been reflecting on the possibilities of nonlinear behavior on the quantum level. These are challenging undertakings because (1) they will result in new solutions to important technical and practical problems that were unsolvable by the classical approaches (for example, quantum computers can calculate problems that are intractable if one uses classical computers); and (2) they open up new 'hard' problems of a fund

Contents:

CONTENTS ; Probing the Structure of Quantum Mechanics ; References ; The Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities ; 1 Introduction ; 2 Quantum Axiomatics ; 3 The Representation Theorem

4 The Two Failing Axioms of Standard Quantum Mechanics 5 Attempts and Perspectives for Solutions ; References ; Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities ; 1 Introduction ; 2 A Single Spin 1/2 System

3 The Separated Product of Two Spin 1/2 Systems 4 The Orthogonality Relation ; 5 Sasaki Regularity ; 6 Discussion ; References ; Being and Change: Foundations of a Realistic Operational Formalism ; 1 Introduction ; 2 Foundations of the Formalism ; 3 Classical and Quantum Entities

4 Pre-Order Structures 5 Experiments And Preparations ; 6 Meet Properties and Join States ; 7 Operationality ; 8 Conclusion ; References ; The Classical Limit of the Lattice-Theoretical Orthocomplementation in the Framework of the Hidden-Measurement Approach ; 1 Introduction

2 The e-Model 3 Structures on the Set of Properties ; 4 Physically Denned Orthogonality Relations ; 5 The N-Model: A Model with Vanishing State Transitions in the Classical Limit ; 6 The G-Z Orthogonality Relation for a General Physical System ; References

State Property Systems and Closure Spaces: Extracting the Classical en Non-Classical Parts

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9789812778024

9812778020

OCLC:

879025243