Generating Function Approach to Single Vibronic Level Fluorescence Spectra

2019 ◽  
Vol 10 (20) ◽  
pp. 6003-6009 ◽  
Author(s):  
Enrico Tapavicza
Keyword(s):  
Generating Function ◽  
Fluorescence Spectra ◽  
Function Approach ◽  
Vibronic Level

Single vibronic level fluorescence spectra of the F band of SO2

1996 ◽  
Vol 88 (6) ◽  
pp. 1479-1490 ◽  
Author(s):  
E. HEGAZI ◽  
A. HAMDAN ◽  
A. DASTAGEER ◽  
F. AL-ADEL
Keyword(s):  
Fluorescence Spectra ◽  
Vibronic Level

scholarly journals Labels distance in bucket recursive trees with variable capacities of buckets

2021 ◽  
Vol 13 (2) ◽  
pp. 413-426
Author(s):  
S. Naderi ◽  
R. Kazemi ◽  
M. H. Behzadi
Keyword(s):  
Partial Differential Equations ◽  
Probability Distribution ◽  
Differential Equations ◽  
Generating Function ◽  
Generating Functions ◽  
Function Approach ◽  
Closed Formula ◽  
Tree Model ◽  
Partial Differential ◽  
Recursive Trees

Abstract The bucket recursive tree is a natural multivariate structure. In this paper, we apply a trivariate generating function approach for studying of the depth and distance quantities in this tree model with variable bucket capacities and give a closed formula for the probability distribution, the expectation and the variance. We show as j → ∞, lim-iting distributions are Gaussian. The results are obtained by presenting partial differential equations for moment generating functions and solving them.

Theoretical solutions for degree distribution of decreasing random birth-and-death networks

2017 ◽  
Vol 31 (14) ◽  
pp. 1750161 ◽  
Author(s):  
Yin Long ◽  
Xiao-Jun Zhang ◽  
Kui Wang
Keyword(s):  
Steady State ◽  
Computer Simulations ◽  
Generating Function ◽  
Degree Distribution ◽  
Probability Generating Function ◽  
Function Approach ◽  
Poisson Summation

In this paper, theoretical solutions for degree distribution of decreasing random birth-and-death networks [Formula: see text] are provided. First, we prove that the degree distribution has the form of Poisson summation, for which degree distribution equations under steady state and probability generating function approach are employed. Then, based on the form of Poisson summation, we further confirm the tail characteristic of degree distribution is Poisson tail. Finally, simulations are carried out to verify these results by comparing the theoretical solutions with computer simulations.

Single vibronic level fluorescence spectra from à (1B2u) benzene: Fermi resonances and S0 IVR lifetimes

1995 ◽  
Vol 196 (1-2) ◽  
pp. 327-351 ◽  
Author(s):  
Joanne A. Nicholson ◽  
Warren D. Lawrence ◽  
Gad Fischer
Keyword(s):  
Fluorescence Spectra ◽  
Vibronic Level ◽  
Fermi Resonances
Sign in / Sign up

Export Citation Format

Share Document