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On a Kinematic Proof of the Canonicity of Andoyer Variables
Proceedings of the Steklov Institute of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Canonical quantum phase variable
Il Nuovo Cimento B Series 11, 1996The 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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Markovian Representation of Stochastic Processes by Canonical Variables
SIAM Journal on Control, 1975The 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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Canonical Variables for the Interacting Gravitational and Dirac Fields
Journal of Mathematical Physics, 1963The 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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Multiple Linear Regression on Canonical Correlation Variables
Biometrical Journal, 1999When 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, 1994For 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, 1986By 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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Phase-Space Formulation of the Dynamics of Canonical Variables
Journal of Mathematical Physics, 1964Statistical reformulation of quantum mechanics in terms of phase-space distribution functions as given by Moyal using Weyl's correspondence rule between classical functions and operators has been extended to various different correspondence rules. The dynamical bracket in the Weyl correspondence (the ``Moyal'' or the ``sine'' bracket) is shown to be a ...
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Regulation of autophagy by canonical and non-canonical ER stress responses
Seminars in Cancer Biology, 2020Costas Koumenis +2 more
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