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Diagonal harmonious state representations

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Abstract

For simple unweighted shift operators a family of complex eigenvalue eigenstates of the shift down operators, called theharmonious states, is constructed. Every density matrix is realized as a weighted sum of projections to the harmonious states; and the weight distributions serve as quasiprobability densities for normal ordered operators.

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Sudarshan, E.C.G. Diagonal harmonious state representations. Int J Theor Phys 32, 1069–1076 (1993). https://doi.org/10.1007/BF00671789

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Density Matrix
  • State Representation