On the Wave Aspect of Relativistic Quantum Fields | Zendy

M. Omote | Zendy; S. Kamefuchi | Zendy

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On the Wave Aspect of Relativistic Quantum Fields

Author(s) -

M. Omote,

S. Kamefuchi

Publication year - 2006

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.115.951

Subject(s) - physics , fock space , eigenvalues and eigenvectors , basis (linear algebra) , scalar (mathematics) , quantum mechanics , scalar field , wave function , representation (politics) , fock state , classical mechanics , field (mathematics) , coherent states , theoretical physics , quantum , geometry , mathematics , politics , political science , pure mathematics , law

In the state-vector space for relativistic quantum fields a new set of basisvectors are introduced, which are taken to be eigenstates of the fieldoperators themselves. The corresponding eigenvalues are then interpreted asrepresenting matter waves associated with the respective quantum fields. Therepresentation, based on such basis vectors, or the wave-representationnaturally emphasizes the wave aspect of the system, in contrast with the usual,Fock or particle-representation emphasizing the particle aspect. For the caseof a relativistic, free neutral field, the wave-representation is explicitlyconstructed, and its mathematical properties as well as physical implicationsare studied in detail. It is expected that such an approach will find usefulapplications, e.g., in quantum optics.Comment: 33 pages, no figur

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