scholarly journals Molecular response properties from a Hermitian eigenvalue equation for a time-periodic Hamiltonian

2015 ◽  
Vol 142 (11) ◽  
pp. 114109 ◽  
Author(s):  
Filip Pawłowski ◽  
Jeppe Olsen ◽  
Poul Jørgensen
Keyword(s):  
Eigenvalue Equation ◽  
Molecular Response ◽  
Response Properties ◽  
Time Periodic

Spatially growing wave trails of an inviscid fluid discontinuity

1973 ◽  
Vol 58 (4) ◽  
pp. 669-675
Author(s):  
Peter Freymuth
Keyword(s):  
Flow Direction ◽  
Three Dimensional ◽  
Amplitude Distribution ◽  
Eigenvalue Equation ◽  
Inviscid Fluid ◽  
Gravitational Acceleration ◽  
Constant Amplitude ◽  
Periodic Disturbance ◽  
Time Periodic

The eigenvalue equation for three-dimensional waves in parallel and cross flows parallel to a fluid discontinuity has been considered for spatially growing waves. The discontinuity plane (x, y plane) is perpendicular to the gravitational acceleration and consists in general of a jump in speed, in flow direction and in density. With the assumption of waves which are periodic in time and periodic in the y direction, the eigenvalue equation is solved for the complex wavenumber α in the x direction. These waves are used to Fourier synthesize the wave trails generated by a time-periodic disturbance with a Gaussian amplitude distribution e−δy2 along the y axis. Lines of constant phase and lines of constant amplitude within the wave trail have been illustrated for some examples.

The calculation of molecular response properties using perturbed spin‐coupled wave functions. I. Basic theory

1994 ◽  
Vol 100 (6) ◽  
pp. 4408-4416 ◽  
Author(s):  
Peter A. Hyams ◽  
Joseph Gerratt ◽  
David L. Cooper ◽  
Mario Raimondi
Keyword(s):  
Wave Functions ◽  
Basic Theory ◽  
Molecular Response ◽  
Response Properties ◽  
Coupled Wave
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