1.

Record Nr.

UNINA9910823750503321

Titolo

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

Pubbl/distr/stampa

River Edge, NJ, : World Scientific, c2002

ISBN

981-277-802-0

Edizione

[1st ed.]

Descrizione fisica

1 online resource (401 p.)

Altri autori (Persone)

AertsDiederik <1953->

CzachorMarek

DurtThomas

Disciplina

530.12

Soggetti

Quantum theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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

Sommario/riassunto

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