Quantum theory of excess noise

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 3, 1999, Pages 2529-2533

  Bardroff, P J ^a   Stenholm, S ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000311793     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.2529     Document Type: Article

References (22)

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19. In principle we should define the magnetic field operator as well. This would require an additional set of magnetic mode functions related to the electric mode functions by a curl operation. But here we only need to consider the electric field.
20. For the case of a symmetric matrix (Formula presented) the relation between left and right eigenvectors is easy to see. However, a similar relation holds also in the case of complex mode functions (Formula presented), when the matrix (Formula presented) is Hermitian. The left eigenvectors are then given by (Formula presented) with the unitary matrix (Formula presented)
21. This is true as long as the matrix (Formula presented) has no degenerate eigenvalues. For a discussion of matrix properties see, e.g., P. Lencaster, Theory of Matrices (Academic Press, New York, 1969).
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