NDLI: Foundations of Quantum Physics: A General Realistic and Operational Approach

Content Provider	Springer Nature Link
Author	Aerts, Diederik
Copyright Year	1999
Abstract	We present a general formalism with the aim ofdescribing the situation of an entity, how it is, how itreacts to experiments, how we can make statistics withit, and how it ‘changes’ under the influence of the rest of the universe. Therefore we baseour formalism on the following basic notions: (1) thestates of the entity, which describe the modes of beingof the entity, (2) the experiments that can be performed on the entity, which describe how weact upon and collect knowledge about the entity, (3) theoutcomes of our experiments, which describe how theentity and the experiments "are" and “behave” together, (4) theprobabilities, which describe our repeated experimentsand the statistics of these repeated experiments, and(5) the symmetries, which describe the interactions ofthe entity with the external world without beingexperimented upon. Starting from these basic notions weformulate the necessary derived notions: mixed states,mixed experiments and events, an eigenclosure structure describing the properties of theentity, an orthoclosure structure introducing anorthocomplementation, outcome determination, experimentdetermination, state determination, and atomicity giving rise to some of the topological separationaxioms for the closures. We define the notion ofsubentity in a general way and identify the morphisms ofour structure. We study specific examples in detail in the light of this formalism: a classicaldeterministic entity and a quantum entity described bythe standard quantum mechanical formalism. We present apossible solution to the problem of the description of subentities within the standard quantummechanical procedure using the tensor product of theHilbert spaces, by introducing a new completed quantummechanics in Hilbert space, were new ‘pure’states are introduced, not represented by rays of theHilbert space.
Starting Page	289
Ending Page	358
Page Count	70
File Format	PDF
ISSN	00207748
Journal	International Journal of Theoretical Physics
Volume Number	38
Issue Number	1
e-ISSN	15729575
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	1999-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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