Erratum: Spin‐spin and spin‐other‐orbital integrals for diatomic molecules

1974 ◽  
Vol 61 (2) ◽  
pp. 754-754 ◽  
Author(s):  
R. H. Pritchard ◽  
C. W. Kern
Keyword(s):  
Diatomic Molecules ◽  
Orbital Integrals

Density functionals and chemical bond, diatomic molecules

1989 ◽  
Vol 86 ◽  
pp. 853-859 ◽  
Author(s):  
Federico Moscardó ◽  
José Pérez-Jordá ◽  
Emilio San-Fabián
Keyword(s):  
Chemical Bond ◽  
Diatomic Molecules ◽  
Density Functionals

Hypoelliptic Laplacian and Orbital Integrals (AM-177)

2011 ◽  
Author(s):  
Jean-Michel Bismut
Keyword(s):  
Fixed Point ◽  
Symmetric Space ◽  
Heat Kernel ◽  
Geodesic Flow ◽  
Casimir Operator ◽  
Index Theory ◽  
Weighted Sum ◽  
Orbital Integrals ◽  
Hypoelliptic Heat Kernel ◽  
Wave Kernel

This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. It is essentially the weighted sum of a harmonic oscillator along the fiber of the tangent bundle, and of the generator of the geodesic flow. In this book, semisimple orbital integrals associated with the heat kernel of the Casimir operator are shown to be invariant under a suitable hypoelliptic deformation, which is constructed using the Dirac operator of Kostant. Their explicit evaluation is obtained by localization on geodesics in the symmetric space, in a formula closely related to the Atiyah-Bott fixed point formulas. Orbital integrals associated with the wave kernel are also computed. Estimates on the hypoelliptic heat kernel play a key role in the proofs, and are obtained by combining analytic, geometric, and probabilistic techniques. Analytic techniques emphasize the wavelike aspects of the hypoelliptic heat kernel, while geometrical considerations are needed to obtain proper control of the hypoelliptic heat kernel, especially in the localization process near the geodesics. Probabilistic techniques are especially relevant, because underlying the hypoelliptic deformation is a deformation of dynamical systems on the symmetric space, which interpolates between Brownian motion and the geodesic flow. The Malliavin calculus is used at critical stages of the proof.

Vibrationally Enhanced Dissociation of Diatomic Molecules.

1985 ◽  
Author(s):  
B. C. Garrett ◽  
L. T. Redmon ◽  
M. J. Redmon
Keyword(s):  
Diatomic Molecules

Halogens molecular modifications with high pressure: the case of iodine

2021 ◽  
Author(s):  
Jingming Shi ◽  
Emiliano Fonda ◽  
Silvana Botti ◽  
Miguel A. L. Marques ◽  
Toru Shinmei ◽  
...  
Keyword(s):  
High Pressure ◽  
Absorption Spectroscopy ◽  
Diatomic Molecules ◽  
Giant Planets ◽  
Atomistic Modeling ◽  
X Ray ◽  
X Ray Absorption

Metallization and dissociation are key transformations in diatomic molecules at high densities particularly significant for modeling giant planets. Using X-ray absorption spectroscopy and atomistic modeling, we demonstrate that in halogens,...

Strong-field ionization of heteronuclear diatomic molecules using an orthogonally polarized two-color laser field

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
D. Habibović ◽  
A. Gazibegović-Busuladžić ◽  
M. Busuladžić ◽  
D. B. Milošević
Keyword(s):  
Laser Field ◽  
Strong Field ◽  
Diatomic Molecules ◽  
Field Ionization ◽  
Strong Field Ionization

The effect of collisions on the rotational angular momentum of diatomic molecules studied using polarized light

2020 ◽  
Vol 153 (18) ◽  
pp. 184310
Author(s):  
P. T. Arndt ◽  
J. Huennekens ◽  
C. Packard ◽  
V. Tran ◽  
J. Carey ◽  
...  
Keyword(s):  
Angular Momentum ◽  
Diatomic Molecules ◽  
Polarized Light ◽  
Rotational Angular Momentum
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