PhilSci Archive

Quantum States: An Analysis via the Orthogonality Relation

Shengyang, Zhong (2021) Quantum States: An Analysis via the Orthogonality Relation. [Preprint]

WarningThere is a more recent version of this item available.
[img]
Preview
Text
Quantum States_An Analysis via the Orthogonality Relation.pdf

Download (461kB) | Preview

Abstract

From the Hilbert space formalism we note that five simple conditions are satisfied by the orthogonality relation between the (pure) states of a quantum system. We argue, by proving a mathematical theorem, that they capture the essentials of this relation. Based on this, we investigate the rationale behind these conditions in the form of six physical hypotheses. Along the way, we reveal an implicit theoretical assumption in theories of physics and prove a theorem which formalizes the idea that the Superposition Principle makes quantum physics different from classical physics. The work follows the paradigm of mathematical foundations of quantum theory, which I will argue by methodological reflection that it exemplifies a formal approach to analysing concepts in theories.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Shengyang, Zhongzhongshengyang@163.com0000-0001-5538-0002
Keywords: Orthogonality relation, Mathematical foundations of quantum theory , Quantum logic, Concept analysis
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Shengyang Zhong
Date Deposited: 19 Oct 2021 17:42
Last Modified: 19 Oct 2021 17:42
Item ID: 19700
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 15 October 2021
URI: http://philsci-archive.pitt.edu/id/eprint/19700

Available Versions of this Item

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item