Quantum‐Mechanical Formulation of a Strong Collision Theory of Unimolecular Rates

1964 ◽  
Vol 40 (11) ◽  
pp. 3425-3427 ◽  
Author(s):  
David J. Wilson ◽  
Everett Thiele
Keyword(s):  
Quantum Mechanical ◽  
Collision Theory ◽  
Mechanical Formulation

Very low energy scattering in HH+ and HD+

1978 ◽  
Vol 56 (8) ◽  
pp. 996-1020 ◽  
Author(s):  
Jon P. Davis ◽  
W. R. Thorson
Keyword(s):  
Cross Sections ◽  
Low Energy ◽  
Quantum Mechanical ◽  
Stationary States ◽  
Collision Theory ◽  
Feshbach Resonances ◽  
Total Cross Sections ◽  
Distinctive Features ◽  
Mechanical Formulation ◽  
Slow Collision

Differential and total cross sections for elastic scattering and resonant–near-resonant charge exchange have been computed for H+–H(1s) and H+–D(1s) collisions in the energy range 0 to ~0.1 eV, using a rigorous quantum mechanical formulation of slow collision theory in which all spurious couplings of the perturbed stationary states (PSS) theory are removed. Orbiting and shape resonances are described and compared in the two systems, and in addition the distinctive features of the HD+ case, such as the appearance of several Feshbach resonances in the region below the D+–H(1s) threshold, are identified and discussed. Most of the effects of the isotopic H(1s)–D(1s) splitting disappear at collision energies near the end of this range.

Quantum-mechanical formulation of the electron-monopole interaction without Dirac strings

1978 ◽  
Vol 18 (10) ◽  
pp. 3849-3857 ◽  
Author(s):  
William A. Barker ◽  
Frank Graziani
Keyword(s):  
Quantum Mechanical ◽  
Mechanical Formulation

Interpolation of matrices and matrix-valued densities: The unbalanced case

2018 ◽  
Vol 30 (3) ◽  
pp. 458-480 ◽  
Author(s):  
YONGXIN CHEN ◽  
TRYPHON T. GEORGIOU ◽  
ALLEN TANNENBAUM
Keyword(s):  
Open Quantum Systems ◽  
Wasserstein Distance ◽  
Quantum Systems ◽  
Quantum Mechanical ◽  
Frobenius Norm ◽  
Spatial Dependency ◽  
Lindblad Equation ◽  
Optimal Mass Transport ◽  
Mechanical Formulation ◽  
The Matrix

We propose unbalanced versions of the quantum mechanical version of optimal mass transport that is based on the Lindblad equation describing open quantum systems. One of them is a natural interpolation framework between matrices and matrix-valued measures via a quantum mechanical formulation of Fisher-Rao information and the matricial Wasserstein distance, and the second is an interpolation between Wasserstein distance and Frobenius norm. We also give analogous results for the matrix-valued density measures, i.e., we add a spatial dependency on the density matrices. This might extend the applications of the framework to interpolating matrix-valued densities/images with unequal masses.

Some fundamental difficulties with quantum mechanical collision theory

1978 ◽  
Vol 8 (9-10) ◽  
pp. 677-694 ◽  
Author(s):  
William Band ◽  
James L. Park
Keyword(s):  
Quantum Mechanical ◽  
Collision Theory
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