Physics – Quantum Physics
Scientific paper
1997-05-07
J.Math.Phys. 38 (1997) 6072-6100
Physics
Quantum Physics
39 pages, 3 PostScript figures; sub2.eps may stall some printers and should then be printed out separately; ghostview is o.k
Scientific paper
10.1063/1.532203
In analogy to Gamow vectors that are obtained from first order resonance poles of the S-matrix, one can also define higher order Gamow vectors which are derived from higher order poles of the S-matrix. An S-matrix pole of r-th order at z_R=E_R-i\Gamma/2 leads to r generalized eigenvectors of order k= 0, 1, ... , r-1, which are also Jordan vectors of degree (k+1) with generalized eigenvalue (E_R-i\Gamma/2). The Gamow-Jordan vectors are elements of a generalized complex eigenvector expansion, whose form suggests the definition of a state operator (density matrix) for the microphysical decaying state of this higher order pole. This microphysical state is a mixture of non-reducible components. In spite of the fact that the k-th order Gamow-Jordan vectors has the polynomial time-dependence which one always associates with higher order poles, the microphysical state obeys a purely exponential decay law.
Böhm Alexander
Gadella Manuel
Loewe Marcelo
Maxson Steven
Patuleanu P.
No associations
LandOfFree
Gamow-Jordan Vectors and Non-Reducible Density Operators from Higher Order S-Matrix Poles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gamow-Jordan Vectors and Non-Reducible Density Operators from Higher Order S-Matrix Poles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gamow-Jordan Vectors and Non-Reducible Density Operators from Higher Order S-Matrix Poles will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-205642