Semiclassical Transition Probabilities (S Matrix) of Vibrational—Translational Energy Transfer

Nonequilibrium random matrix theory: Transition probabilities.

In this paper we present an analytic method for calculating the transition probability between two random Gaussian matrices with given eigenvalue spectra in the context of Dyson Brownian motion. We show that in the Coulomb gas language, in large N limit, memory of the initial state is preserved in the form of a universal linear potential acting on the eigenvalues. We compute the likelihood of a...

On Prohorov ’ S Theorem for Transition Probabilities ∗

In this paper we settle the open problem of proving Prohorov’s theorem for transition probabilities (alias Young measures) in its most general form, viz. in the case where the transition probabilities act into a completely regular Suslin space. Among others, the present author and C. Castaing have considered this problem (in [9, p. 5.17] it is said to seem ”difficult”). Versions of Prohorov’s t...

Energy spectra and quadrupole transition probabilities

In this paper, we have studied the energy spectra and B(E2) transition probabilities of 124-130 Ba isotopes in the shape phase transition region between the spherical and gamma unstable deformed shapes. We have used a transitional Interacting Boson Model Hamiltonian which is based on affine SU(1,1) Lie Algebra in the both IBM-1 and 2 versions and also the Catastrophe theory in combination with ...

Semiclassical Calculation of Cumulative Reaction Probabilities

Theory of Semiclassical Transition Probabilities for Inelastic and Reactive Collisions. V. Uniform Approximation in Multidimensional Systems*

para.meter, but this term can be eliminated from the energy level analysis by the proper choice of coordinate axes. This involves a rotation about the c axis and results in no loss of generality in the energy level analysis. Discussion of this point can be found in J. L. Prather, Nat!. Bur. Std. (U.S.) Monograph 19 (1961), or Appendix A of Ref. 39. 31 B. G. Wybourne, Spectroscopic Properties of...