Hypercomplex Representations of the Heisenberg Group and Mechanics
نویسندگان
چکیده
منابع مشابه
Hypercomplex Quantum Mechanics
The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions). The projective geometry of the weakly modular orthocomplemented lattice of propositions may be imbedded in a complex Hilbert space; this is the structure which has traditiona...
متن کاملcompactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولThe small Heisenberg group and `-adic representations from Hurwitz spaces
The Hurwitz space approach to the regular Inverse Galois Problem was the only successful approach to Galois group realizations beyond nilpotent groups. It gave regular realizations of many series of groups. More significantly, the M(odular) T(ower) program identified obstructions to systematically finding regular realizations. Finding a way around those obstructions generalize renown results on...
متن کاملMultiparticle Susy Quantum Mechanics and the Representations of Permutation Group
The method of multidimensional SUSY Quantum Mechanics is applied to the investigation of supersymmetrical N−particle systems on a line for the case of separable center-of-mass motion. New decomposition of the superhamiltonian into block-diagonal form with elementary matrix components is constructed. Matrices of coefficients of these minimal blocks are shown to coincide with matrices of irreduci...
متن کاملDeformation of Outer Representations of Galois Group
To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than t...
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: International Journal of Theoretical Physics
سال: 2011
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-011-0970-0