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Research on boundary control of vehicle-mounted flexible manipulator based on partial differential equations. [PDF]
Tang Y.
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Derivations of the Total Radiation Belt Electron Content. [PDF]
Pitzel JC +7 more
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Linearization of the Hamilton–Jacobi equation
Journal of Mathematical Physics, 1986Through a canonoid transformation the integration for the Hamilton–Jacobi equations is transformed into a two step procedure: the first being a linear problem and the second a quasilinear one. Examples are given.
Espindola, Maria L. +2 more
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2001
We already know that canonical transformations are useful for solving mechanical problems. We now want to look for a canonical transformation that transforms the 2N coordinates (q i , p i ) to 2N constant values (Q i , P i ), e.g., to the 2N initial values \((q_{i}^{0},p_{i}^{0})\) at time t = 0.
Walter Dittrich, Martin Reuter
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We already know that canonical transformations are useful for solving mechanical problems. We now want to look for a canonical transformation that transforms the 2N coordinates (q i , p i ) to 2N constant values (Q i , P i ), e.g., to the 2N initial values \((q_{i}^{0},p_{i}^{0})\) at time t = 0.
Walter Dittrich, Martin Reuter
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Hamilton-Dirac Theory of Hamilton's Equations
Journal of Mathematical Physics, 1969It is shown that in a very general way two distinct canonical formalisms can be used to describe a classical system. No corresponding nonuniqueness is introduced into the canonical quantization procedure if the Dirac bracket correspondence to the quantum-mechanical commutators is employed.
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Relaxation of Hamilton-Jacobi Equations
Archive for Rational Mechanics and Analysis, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hitoshi Ishii, LORETI, Paola
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Tensor formulation of Hamilton’s equations
Journal of Mathematical Physics, 1988Hamilton’s equations are presented in manifestly covariant form. The resulting equations of motion are solved via a covariant Hamilton–Jacobi scheme. A covariant correspondence principle is introduced, and it is employed to quantize the equations.
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