scholarly journals An intertwined method for making low-rank, sum-of-product basis functions that makes it possible to compute vibrational spectra of molecules with more than 10 atoms

2017 ◽  
Vol 146 (20) ◽  
pp. 204110 ◽  
Author(s):  
Phillip S. Thomas ◽  
Tucker Carrington
Keyword(s):  
Vibrational Spectra ◽  
Basis Functions ◽  
Low Rank

scholarly journals Comparison of different eigensolvers for calculating vibrational spectra using low-rank, sum-of-product basis functions

2016 ◽  
Vol 115 (15-16) ◽  
pp. 1740-1749 ◽  
Author(s):  
Arnaud Leclerc ◽  
Phillip S. Thomas ◽  
Tucker Carrington
Keyword(s):  
Vibrational Spectra ◽  
Basis Functions ◽  
Low Rank

scholarly journals A 3D personalized cardiac myocyte aggregate orientation model using MRI data-driven low-rank basis functions

2021 ◽  
pp. 102064
Author(s):  
Johanna Stimm ◽  
Stefano Buoso ◽  
Ezgi Berberoğlu ◽  
Sebastian Kozerke ◽  
Martin Genet ◽  
...  
Keyword(s):  
Cardiac Myocyte ◽  
Basis Functions ◽  
Data Driven ◽  
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Orientation Model

Other Applications of Neural Networks to Quantum Mechanical Problems

2012 ◽  
Author(s):  
Lionel Raff ◽  
Ranga Komanduri ◽  
Martin Hagan ◽  
Satish Bukkapatnam
Keyword(s):  
Neural Networks ◽  
Wave Function ◽  
Linear Combination ◽  
Vibrational Spectra ◽  
Schrodinger Equation ◽  
Usual Method ◽  
Basis Functions ◽  
Wave Functions ◽  
Quantum Mechanical ◽  
Vibrational Wave Function

The usual method for solving the vibrational Schrödinger equation to obtain molecular vibrational spectra and the associated wave functions generally involves the expansion of the vibrational wave function, ψk(y), in terms of a linear combination of a set of basis functions.

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