Results 271 to 280 of about 2,486,049 (309)

Goodness‐of‐fit tests of hypothesized canonical variables

Canadian Journal of Statistics, 1979
AbstractIn the literature goodness‐of‐fit tests for canonical variables are available either in thexspace or in theyspace, see e.g., Bartlett (1951), Kshirsagar (1971, 1972), Radcliffe (1968), and Williams (1952). Here we present goodness‐of‐fit tests for canonical variables in both thexandyspaces. The results appear as extensions of the results of the
Gupta, R. D., Kabe, D. G.
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New variables for canonical supergravity

Classical and Quantum Gravity, 1988
Ashtekar's reformulation (1987) of canonical general relativity is extended to simple supergravity in four dimensions. The key idea is to use the left-handed spin connection as a complex coordinate on the phase space. The constraints are simple polynomial functions of degree four or less when expressed in terms of the new conjugate variables.
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Canonical transformation to action and angle variables and their representations

Journal of Physics A: Mathematical and General, 1979
A representation on Hilbert space of canonical transformations to action and angle variables is given for a wide class of one-dimensional periodic motions. This extends the results discussed previously for the harmonic oscillator to problems not solvable in closed form. The concepts of ambiguity group and ambiguity spin continue to play a key role.
Moshinsky, M., Seligman, T. H.
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On a Kinematic Proof of the Canonicity of Andoyer Variables

Proceedings of the Steklov Institute of Mathematics
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Canonical quantum phase variable

Il Nuovo Cimento B Series 11, 1996
The problem of a correct description of phase variable in quantum mechanics has been revisited. The existence of a unique, consistent definition for the quantum phase of the harmonic oscillator is shown starting from the correspondence principle and Born’s statistical rule. Connections with existing approaches are also reported.
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Canonical Variables for the Interacting Gravitational and Dirac Fields

Journal of Mathematical Physics, 1963
The problem of reducing the Lagrangian for the interacting gravitational and Dirac fields to canonical form is discussed, using the vierbein formalism. The arbitrary gauge variables corresponding to local Lorentz transformations of the vierbein are removed by imposing Schwinger's ``time-guage'' condition, and a further condition that the spatial part ...
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Markovian Representation of Stochastic Processes by Canonical Variables

SIAM Journal on Control, 1975
The structure of the information interface between the future and the past of a discrete-time stochastic process is analyzed by using the concepts of canonical correlation analysis. Two extreme Markovian representations are obtained with states defined by the sets of canonical variables which represent the past information projected on the future and ...
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Multiple Linear Regression on Canonical Correlation Variables

Biometrical Journal, 1999
When the explanatory variables of a linear model are split into two groups, two notions of collinearity are defined: a collinearity between the variables of each group, of which the mean is called residual collinearity, and a collinearity between the two groups called explained collinearity. Canonical correlation analysis provides information about the
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On the definition of the delaunay-similar canonical variables of scheifele

Mechanics Research Communications, 1994
For the definition of the Delaunay-similar canonical variables of Scheifele, the Deprit's technique is used. Firstly, a particular class of time-dependent generating functions involving an arbitrary function is introduced. Then, another arbitrary function is considered in the transformation of the independent variable.
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Canonical treatment of harmonic oscillator with variable mass

Physical Review A, 1986
By the use of a canonical transformation the problem of the harmonic oscillator with a time-dependent mass has been transformed to that of an oscillator with a time-dependent frequency. Pseudostationary and quasicoherent states are discussed.
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