Quadratic and cubic invariants in classical mechanics
نویسندگان
چکیده
منابع مشابه
Quadratic and Cubic Invariants of Unipotent Affine Automorphisms
Let K be an arbitrary field of characteristic zero,
متن کامل2 00 0 Invariants in Supersymmetric Classical Mechanics
The bosonic second invariant of SuperLiouville models in supersymmetric classical mechanics is described.
متن کاملNoncommutative Classical and Quantum Mechanics for Quadratic Lagrangians (Hamiltonians)
We consider classical and quantum mechanics for an extended Heisenberg algebra with additional canonical commutation relations for position and momentum coordinates. In our approach this additional noncommutativity is removed from the algebra by linear transformation of coordinates and transmitted to the Hamiltonian (Lagrangian). Since linear transformations do not change the quadratic form of ...
متن کاملInvariants of Cubic Similarity
The question about polynomial maps F : C → C, first raised by Keller [1] in 1939 for polynomials over the integers but now also raised for complex polynomials and, as such, known as The Jacobian Conjecture (JC), asks whether a polynomial map F with nonzero constant Jacobian determinant detF (x) need be a polyomorphism: Injective and also surjective with polynomial inverse. The known reductions ...
متن کاملQuantum mechanics as the quadratic Taylor approximation of classical mechanics: the finite dimensional case
We show that, in spite of a rather common opinion, quantum mechanics can be represented as an approximation of classical statistical mechanics. The approximation under consideration is based on the ordinary Taylor expansion of physical variables. The quantum contribution is given by the term of the second order. To escape technical difficulties related to the infinite dimension of phase space f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1980
ISSN: 0022-247X
DOI: 10.1016/0022-247x(80)90132-8