Use of Green Functions in Atomic and Molecular Calculations. VI. The First‐Order Perturbation to the Eigenfunction of the Helium‐Atom Ground State

1969 ◽  
Vol 51 (3) ◽  
pp. 1148-1155 ◽  
Author(s):  
H. F. Hameka
Keyword(s):  
Helium Atom ◽  
Ground State ◽  
Order Perturbation ◽  
Green Functions ◽  
First Order ◽  
Molecular Calculations ◽  
First Order Perturbation

scholarly journals WHICH CAUSALITY? DIFFERENCES BETWEEN TRAJECTORY AND COPENHAGEN ANALYSES OF AN IMPULSIVE PERTURBATION

1999 ◽  
Vol 14 (07) ◽  
pp. 1111-1124 ◽  
Author(s):  
EDWARD R. FLOYD
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Temporal Change ◽  
Order Perturbation ◽  
First Order ◽  
Trajectory Representation ◽  
Square Well ◽  
Impulsive Perturbations ◽  
Theoretical Results ◽  
First Order Perturbation

The trajectory and Copenhagen representations render different predictions for impulsive perturbations. The different predictions are due to the different roles that causality plays in the trajectory and Copenhagen interpretations. We investigate a small perturbing impulse acting on the ground state of an infinitely deep square well. For the two representations, the first-order perturbation calculations for the temporal change in energy differ. This temporal change in energy for the trajectory representation is dependent upon the microstate of the wave function. We show that even under Copenhagen epistemology, the two representations predict different theoretical results.

Note on Interference Effects in Two-Step Reaction Processes

1975 ◽  
Vol 53 (23) ◽  
pp. 2590-2592
Author(s):  
J. Cejpek ◽  
J. Dobeš
Keyword(s):  
Perturbation Theory ◽  
Point Of View ◽  
Order Perturbation ◽  
Interference Effects ◽  
Qualitative Explanation ◽  
First Order ◽  
One Step ◽  
Step Transition ◽  
Reaction Processes ◽  
First Order Perturbation

The reaction processes in which a one-step transition is forbidden are analyzed from the point of view of the first order perturbation theory. The interference between two competing two-step reaction paths is found to be always constructive. A qualitative explanation of the experimentally observed reaction intensities is presented.

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