TitleQuantum states: an analysis via the orthogonality relation
AuthorsZhong, Shengyang
AffiliationPeking Univ, Inst Foreign Philosophy, Dept Philosophy & Religious Studies, Beijing, Peoples R China
KeywordsLOGIC
THEOREM
SPACES
Issue DateOct-2021
PublisherSYNTHESE
AbstractFrom 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.
URIhttp://hdl.handle.net/20.500.11897/628741
ISSN0039-7857
DOI10.1007/s11229-021-03453-5
IndexedA&HCI
SCI(E)
SSCI
Appears in Collections:哲学系(宗教学系)

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