NASA Technical Reports Server (NTRS) : Multivariable pdf

NASA Technical Reports Server (NTRS) : Multivariable

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Description of the Book:

The phase-space approach to classical and quantum systems demands for advanced analytical tools. Such an approach characterizes the evolution of a physical system through a set of variables, reducing to the canonically conjugate variables in the classical limit. It often happens that phase-space distributions can be written in terms of quadratic forms involving the above quoted variables. A significant analytical tool to treat these problems may come from the generalized many-variables Hermite polynomials, defined on quadratic forms in R(exp n). They form an orthonormal system in many dimensions and seem the natural tool to treat the harmonic oscillator dynamics in phase-space. In this contribution we discuss the properties of these polynomials and present some applications to physical problems

• Creator/s: NASA Technical Reports Server (NTRS
• Date: 5/1/1994
• Year: 1994
• Book Topics/Themes: NASA Technical Reports Server (NTRS), CONJUGATES, HARMONIC OSCILLATORS, HERMITIAN POLYNOMIAL, PHASE-SPACE INTEGRAL, QUADRATIC EQUATIONS, CLASSICAL MECHANICS, FUNCTIONS (MATHEMATICS), LIOUVILLE EQUATIONS, MATRICES (MATHEMATICS), Dattoli, G., Torre, Amalia, Lorenzutta, S., Maino, G., Chiccoli, C

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