A case of analytical solution of the Griffin-Hill-Wheeler equation: The ground state of the hydrogen atom with a Gaussian Generator function

1985 ◽  
Vol 322 (4) ◽  
pp. 535-537 ◽  
Author(s):  
J. R. Mohallem ◽  
M. Trsic
Keyword(s):  
Hydrogen Atom ◽  
Analytical Solution ◽  
Ground State ◽  
Generator Function

scholarly journals Trends in Ground-State Entropies for Transition Metal Based Hydrogen Atom Transfer Reactions

2009 ◽  
Vol 131 (12) ◽  
pp. 4335-4345 ◽  
Author(s):  
Elizabeth A. Mader ◽  
Virginia W. Manner ◽  
Todd F. Markle ◽  
Adam Wu ◽  
James A. Franz ◽  
...  
Keyword(s):  
Hydrogen Atom ◽  
Transition Metal ◽  
Ground State ◽  
Hydrogen Atom Transfer ◽  
Transfer Reactions ◽  
Atom Transfer ◽  
Atom Transfer Reactions

HYPERSPHERICAL APPROACH TO STUDY THE SCHRÖDINGER EQUATION FOR AN N-PARTICLE SYSTEM

2009 ◽  
Vol 18 (07) ◽  
pp. 1497-1502
Author(s):  
H. HASSANABADI ◽  
A. A. RAJABI ◽  
M. M. SHOJAEI
Keyword(s):  
Analytical Solution ◽  
Schrödinger Equation ◽  
Excited States ◽  
Ground State ◽  
Schrodinger Equation ◽  
Particle System ◽  
Exact Analytical Solution ◽  
Hyperspherical Approach

In the present work we give an exact analytical solution of the Schrödinger equation for an N-particle system by using the hyperspherical approach, in the presence of the hypercentral potential of form V(R) = a1R2+b1R-4+c1R-6 for both the ground state and the excited states.

scholarly journals Ground state of the hydrogen atom via Dirac equation in a minimal-length scenario

2013 ◽  
Vol 73 (7) ◽  
Author(s):  
T. L. Antonacci Oakes ◽  
R. O. Francisco ◽  
J. C. Fabris ◽  
J. A. Nogueira
Keyword(s):  
Hydrogen Atom ◽  
Dirac Equation ◽  
Ground State ◽  
Minimal Length

Radiation and Radiationless Processes in 2,3-Pentanedione; Phosphorescence Lifetime in the Gas Phase

1971 ◽  
Vol 49 (7) ◽  
pp. 987-993 ◽  
Author(s):  
A. W. Jackson ◽  
A. J. Yarwood
Keyword(s):  
Hydrogen Atom ◽  
Triplet State ◽  
Gas Phase ◽  
Ground State ◽  
Hydrogen Atom Abstraction ◽  
Intersystem Crossing ◽  
Phosphorescence Lifetime ◽  
Gaseous State ◽  
Methyl Group ◽  
Intramolecular Hydrogen

Fluorescence and phosphorescence are observed when 2,3-pentanedione in the gaseous state is excited at 365, 405, and 436°nm. The phosphorescence lifetime has been investigated as a function of temperature (298 to 363 °K) and concentration of the diketone (0.5 to 90 × 10−4 M). A mechanism that explains the experimental data is proposed. Apart from the radiative process and an intersystem crossing to the ground state, the triplet state 2,3-pentanedione molecules are removed by two other processes. One is a unimolecular reaction with a rate constant of 1 × 1011 exp (−11.0/RT) s−1 (consistent with an intramolecular hydrogen atom abstraction), and the other is an interaction with ground state molecules. The photochemistry of the triplet state of 2,3-pentanedione is compared with that of biacetyl to consider the effect of substitution of a hydrogen atom by the methyl group on the radiationless processes in diketones.

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