Quantum States and Complex Projective Space

dc.creatorJia, Bei
dc.creatorLee, Xi-guo
dc.date2007-01-05
dc.date2007-03-18
dc.date.accessioned2026-07-07T07:52:19Z
dc.date.available2026-07-07T07:52:19Z
dc.descriptionIn this paper we propose the idea that there is a corresponding relation between quantum states and points of the complex projective space, given that the number of dimensions of the Hilbert space is finite. We check this idea through analyzing some of the basic principles and concepts of quantum mechanics, including the principle of superposition, representations and inner product of quantum states, and give some interesting examples. Based on our point of views we are able to generate the evolution equation of quantum states -- the Heisenberg equation. We also discuss the act of dynamical operators on quantum states.
dc.description7 pages; some minor errors about format and typing are corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0701011
dc.identifierhttp://arxiv.org/abs/math-ph/0701011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125835
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleQuantum States and Complex Projective Space
dc.typetext

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