sigma11-032. 807KB Jun 04 2011 12:10:50 AM
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Shoikhet’s holomorphic noncommutative residue of a holomorphic differential operator D on E for the case when E is an arbitrary vector bundle over an arbitrary compact complex
For this reason we coined the name of “quantum toboggan models” (QTM) for all of the models supported by a topologically nontrivial (i.e., multisheeted) integration curve C along
Considering one-dimensional (1D) quantum [1] and classical [2] Hamiltonians with polynomial ladder operators (i.e. polynomial in the momenta) satisfying a polynomial Heisenberg
On the other hand, it is important to remember that the first-order transformations induced in the new potential a delta term with an opposite sign compared with the initial
In Section 6 we examine the quantum version of the hidden symmetries and analyze the gravitational and axial anomalies connected with quantum symme- try operators for Klein–Gordon
We describe a procedure to construct polynomial in the momenta first integrals of arbitrarily high degree for natural Hamiltonians H obtained as one-dimensional extensions of
ˇ Cap generalized to arbitrary parabolic geometries a bijective correspondence between conformal vector fields and adjoint tractors (sections of the associated bundle to the
These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.. Key words: Casoratian;
