Quantization, symmetry, and natural polarization

V. Aldaya; J. A. de Azcárraga; K. B. Wolf

doi:10.1063/1.526200

Quantization, symmetry, and natural polarization

Journal of Mathematical Physics ◽

10.1063/1.526200 ◽

1984 ◽

Vol 25 (3) ◽

pp. 506-512 ◽

Cited By ~ 14

Author(s):

V. Aldaya ◽

J. A. de Azcárraga ◽

K. B. Wolf

Keyword(s):

Natural Polarization

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Compact representation of generalized molecular polarizabilities and efficient calculation of polarization energy in an arbitrary electric field

10.22541/au.162194953.36562067/v1 ◽

2021 ◽

Author(s):

Krzysztof Wolinski ◽

Peter Pulay

Keyword(s):

Electric Field ◽

Compact Representation ◽

Efficient Calculation ◽

Density Response Function ◽

Molecular Charge ◽

Order Of Magnitude ◽

Speed Up ◽

Molecular Polarizabilities ◽

Polarizability Matrix ◽

Natural Polarization

Generalized polarizabilities and the molecular charge distribution can describe the response of a molecule in an arbitrary static electric field up to second order. Depending on the expansion functions used to describe the perturbing potential, the generalized polarizability matrix can have rather large dimension (~1000). This matrix is the discretized version of the density response function or electronic susceptibility. Diagonalizing and truncating it can lead to significant (over an order of magnitude) speed-up in simulations. We have analyzed the convergence behavior of the generalized polarizability using a plane wave basis for the potential. The eigenfunctions of the generalized polarizability matrix are the natural polarization potentials. They are potentially useful to construct efficient polarizability models for molecules.

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Stability of the parabolic Poincaré bundle

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887818500810 ◽

2018 ◽

Vol 15 (05) ◽

pp. 1850081

Author(s):

Suratno Basu ◽

Indranil Biswas ◽

Krishanu Dan

Keyword(s):

Riemann Surface ◽

Moduli Space ◽

Compact Riemann Surface ◽

Stable Bundles ◽

Parabolic Bundle ◽

Natural Polarization

Given a compact Riemann surface [Formula: see text] and a moduli space [Formula: see text] of parabolic stable bundles on it of fixed determinant of complete parabolic flags, we prove that the Poincaré parabolic bundle on [Formula: see text] is parabolic stable with respect to a natural polarization on [Formula: see text].

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