On the meaning of the string-inspired noncommutativity and its implications | Zendy

G. D. Barbosa | Zendy

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On the meaning of the string-inspired noncommutativity and its implications

Author(s) -

G. D. Barbosa

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/05/024

Subject(s) - noncommutative geometry , noncommutative quantum field theory , interpretations of quantum mechanics , physics , theoretical physics , consistent histories , commutative property , relational quantum mechanics , observable , quantum mechanics , minority interpretations of quantum mechanics , quantum field theory , quantization (signal processing) , classical mechanics , quantum process , quantum dynamics , quantum , mathematical physics , mathematics , algorithm , pure mathematics

We propose an alternative interpretation for the meaning of noncommutativityof the string-inspired field theories and quantum mechanics. Arguments arepresented to show that the noncommutativity generated in the stringy contextshould be assumed to be only between the particle coordinate observables, andnot of the spacetime coordinates. Some implications of this fact fornoncomutative field theories and quantum mechanics are discussed. Inparticular, a consistent interpretation is given for the wavefunction inquantum mechanics. An analysis of the noncommutative theories in theSchr\"odinger formulation is performed employing a generalized quantumHamilton-Jacobi formalism. A formal structure for noncommutative quantummechanics, richer than the one of noncommutative quantum field theory, comesout. Conditions for the classical and commutative limits of these theories havealso been determined and applied in some examples.Comment: References, comments, and footnotes are included; some changes in section

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