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ADELES IN MATHEMATICAL PHYSICS
, 707
"... on the occasion of his 60th birthday Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented. ..."
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on the occasion of his 60th birthday Application of adeles in modern mathematical physics is briefly reviewed. In particular, some adelic products are presented.
SOME ASPECTS OF NONCOMMUTATIVITY ON REAL, pADIC AND ADELIC SPACES ∗
"... Classical and quantum mechanics for an extended Heisenberg algebra with canonical commutation relations for position and momentum coordinates are considered. In this approach additional noncommutativity is removed from the algebra by linear transformation of phase space coordinates and transmitted t ..."
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Classical and quantum mechanics for an extended Heisenberg algebra with canonical commutation relations for position and momentum coordinates are considered. In this approach additional noncommutativity is removed from the algebra by linear transformation of phase space coordinates and transmitted to the Hamiltonian (Lagrangian). This transformation does not change the quadratic form of Hamiltonian (Lagrangian) and Feynman’s path integral maintains its wellknown exact expression for quadratic systems. The compact matrix formalism is presented and can be easily employed in particular cases. Some padic and adelic aspects of noncommutativity are also considered. 1.