Influence of Attractive Forces on the Quantum‐Mechanical Transition Probabilities for Atom‐Diatomic Oscillator Collisions

1972 ◽  
Vol 57 (7) ◽  
pp. 2998-3002 ◽  
Author(s):  
R. E. Roberts ◽  
D. J. Diestler
Keyword(s):  
Transition Probabilities ◽  
Quantum Mechanical ◽  
Mechanical Transition

scholarly journals Quantum Probability's Algebraic Origin

2020 ◽  
Author(s):  
Gerd Niestegge
Keyword(s):  
Transition Probabilities ◽  
Transition Probability ◽  
Wave Functions ◽  
Quantum Mechanical ◽  
Statistical Interpretation ◽  
Quantum Probabilities ◽  
Mechanical Transition ◽  
Definition Of ◽  
Different Origins ◽  
Quantum Indeterminacy

Max Born's statistical interpretation made probabilities play a major role in quantum theory. Here we show that these quantum probabilities and the classical probabilities have very different origins. While the lat- ter always result from an assumed probability measure, the first include transition probabilities with a purely algebraic origin. Moreover, the gen- eral definition of transition probability introduced here comprises not only the well-known quantum mechanical transition probabilities between pure states or wave functions, but further novel cases. A transition probability that differs from 0 and 1 manifests the typical quantum indeterminacy in a similar way as Heisenberg's and others' un- certainty relations and, furthermore, rules out deterministic states in the same way as the Bell-Kochen-Specker theorem. However, the transition probability defined here achieves a lot more beyond that: it demonstrates that the algebraic structure of the Hilbert space quantum logic dictates the precise values of certain probabilities and it provides an unexpected access to these quantum probabilities that does not rely on states or wave functions.

QUANTUM CALCULATIONS OF HARMONIC-VIBRATIONAL TRANSITION PROBABILITIES IN COLLINEAR X2Y2 + X2Z2COLLISIONS

1991 ◽  
Vol 06 (26) ◽  
pp. 4681-4686
Author(s):  
FAHRETTIN GÖGTAŞ ◽  
NURI KOLSUZ
Keyword(s):  
Transition Probabilities ◽  
Quantum Mechanical ◽  
Vibrational Transition ◽  
Quantum Calculations ◽  
Quantum Mechanical Calculations ◽  
Degenerate States

Quantum-mechanical calculations of harmonic-vibrational transition probabilities were reported for nonreactive collinear X2Y2 + X2Z2 collisions. Calculations are carried out for C2H2 + C2H2, C2H2 + C2D2 and C2D2 + C2D2 systems. The dependence of transition probabilities on doubly and triply degenerate states was investigated.

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