Quantum States for Quantum Measurements
2011 (English)In: ADVANCES IN QUANTUM CHEMISTRY, VOL. 61 / [ed] John Sabin and Erkki Brandas, Elsevier , 2011, 49-106 p.Chapter in book (Refereed)
This work introduces a different way to understand the concept of quantum state (QS) with incidence on the concept of measurement. The mathematical architecture is unchanged; abstract QSs are elements of a linear vector space over the field of complex numbers. Inertial frames mediate introduction of configuration space (CS); the number of degrees of freedom defining the material system characterizes the CS dimension. A rigged Hilbert space permits projecting abstract quantum states leading to generalized wavefunctions. CS coordinates do not map out particle positions, but wavefunctions retain the character of abstract quantum states; operators act on QS can yield new quantum states. Given a basis, quantum states are defined by the set of nonzero amplitudes. QSs are submitted to quantum probing; amplitudes control response to external probes. QSs are sustained by the material system, yet they are not attributes (properties) of their elementary constituents; these latter must be present yet not necessarily localized. With respect to previous views on quantum measurement, the one presented here shows characteristic differences, some of which are discussed below.
Place, publisher, year, edition, pages
Elsevier , 2011. 49-106 p.
, Advances in Quantum Chemistry, ISSN 0065-3276 ; 61
IdentifiersURN: urn:nbn:se:uu:diva-259896DOI: 10.1016/B978-0-12-386013-2.00002-4ISI: 000293197900002ISBN: 978-0-12-386013-2OAI: oai:DiVA.org:uu-259896DiVA: diva2:845841