scholarly journals Linear absorption spectrum of a quantum two-dimensional rotator calculated using a rotationally invariant system-bath Hamiltonian

2018 ◽  
Vol 149 (8) ◽  
pp. 084110 ◽  
Author(s):  
Yuki Iwamoto ◽  
Yoshitaka Tanimura
Keyword(s):  
Absorption Spectrum ◽  
Two Dimensional ◽  
Invariant System ◽  
Linear Absorption ◽  
Rotationally Invariant

scholarly journals Spectral line shapes in linear absorption and two-dimensional spectroscopy with skewed frequency distributions

2017 ◽  
Vol 146 (23) ◽  
pp. 234201 ◽  
Author(s):  
Marwa H. Farag ◽  
Bernhard J. Hoenders ◽  
Jasper Knoester ◽  
Thomas L. C. Jansen
Keyword(s):  
Spectral Line ◽  
Two Dimensional ◽  
Linear Absorption ◽  
Frequency Distributions ◽  
Line Shapes

Efficient two-dimensional atom localization in a five-level conductive chiral atomic medium via birefringence beam absorption spectrum

2020 ◽  
Vol 73 (1) ◽  
pp. 015102
Author(s):  
Sajid Ali ◽  
Muhammad Idrees ◽  
Bakth Amin Bacha ◽  
Arif Ullah ◽  
Muhammad Haneef
Keyword(s):  
Absorption Spectrum ◽  
Two Dimensional ◽  
Atomic Medium ◽  
Atom Localization

scholarly journals Particle-hole Pfaffian order in a translationally and rotationally invariant system

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Chen Sun ◽  
Ken K. W. Ma ◽  
D. E. Feldman
Keyword(s):  
Invariant System ◽  
Rotationally Invariant

On isotropic rank 1 convex functions

1999 ◽  
Vol 129 (5) ◽  
pp. 1081-1105 ◽  
Author(s):  
Miroslav Šilhavý
Keyword(s):  
Arbitrary Dimension ◽  
Sufficient Conditions ◽  
Singular Values ◽  
Invariant Function ◽  
Two Dimensional ◽  
Rank 1 Convexity ◽  
Definition Of ◽  
Necessary And Sufficient ◽  
Rotationally Invariant ◽  
Positive Determinant

Let f be a rotationally invariant function defined on the set Lin+ of all tensors with positive determinant on a vector space of arbitrary dimension. Necessary and sufficient conditions are given for the rank 1 convexity of f in terms of its representation through the singular values. For the global rank 1 convexity on Lin+, the result is a generalization of a two-dimensional result of Aubert. Generally, the inequality on contains products of singular values of the type encountered in the definition of polyconvexity, but is weaker. It is also shown that the rank 1 convexity is equivalent to a restricted ordinary convexity when f is expressed in terms of signed invariants of the deformation.

scholarly journals Effective Excitation of High Vibrational States of SF6 Molecules in a Beam by a Multiple-frequency IR Radiation

1985 ◽  
Vol 5 (4) ◽  
pp. 231-237 ◽  
Author(s):  
Valentin M. Apatin ◽  
Valerii N. Lokhman ◽  
Grigorii N. Makarov
Keyword(s):  
Absorption Spectrum ◽  
Multiple Frequency ◽  
Effective Population ◽  
Vibrational States ◽  
Ir Radiation ◽  
Linear Absorption ◽  
Photon Excitation ◽  
First Results ◽  
Excited Molecules ◽  
Effective Excitation

Presented here are the first results of experiments on multiple-photon excitation (MPE) of molecules upon their being concurrently irradiated by several IR pulses differing in frequency. Effective population of the high vibrational states (HVS) of SF6 was found to occur even when the frequencies of exciting pulses were fairly far (10–20 cm–1) from the linear absorption spectrum (LAS) of the molecules. The method enables one to obtain narrow vibrational distributions of excited molecules (VDEM) and make a wider use of the capabilities of IR lasers for selective photochemistry purposes.

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