Publication

Density matrix propagation and stationary absorption spectra: HCl in rare gas matrixes

Majed Chergui
1996
Conference Papers

Abstract

The computation of stationary optical spectra of mol. systems based on a wavepacket propagation on excited potential energy surfaces (PES) is extended to the condensed phase case in utilizing the d. matrix theory. As an example, a one-dimensional model is studied for the photodissocn. of matrix isolated HCl. Emphasis is put on the interplay of the cage effect and the energy dissipation into the matrix. [on SciFinder (R)]

Official source

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Majed Chergui
1996
Conference Papers

Abstract

Official source

Related concepts (32)

Matrix (mathematics)

In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a " matrix", or a matrix of dimension . Without further specifications, matrices represent linear maps, and allow explicit computations in linear algebra.

Diagonal matrix

In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices. Elements of the main diagonal can either be zero or nonzero. An example of a 2×2 diagonal matrix is , while an example of a 3×3 diagonal matrix is. An identity matrix of any size, or any multiple of it (a scalar matrix), is a diagonal matrix. A diagonal matrix is sometimes called a scaling matrix, since matrix multiplication with it results in changing scale (size).

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In mathematics, particularly in linear algebra, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix. The product of matrices A and B is denoted as AB.

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