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math-ph2007
Integral-free Wigner functions
A. Tegmen
Wigner phase space quasi-probability distribution function is a Fourier transform related to a given quantum mechanical wave function. It is shown that for the wave functions of ty…
math-ph2006★ 1 cited
Nambu brackets with constraint functionals
Adnan Tegmen
If a Hamiltonian dynamical system with degrees of freedom admits constants of motion more than , then there exist some functional relations between the constants of m…
math-ph2002
Superintegrable Systems, Multi-Hamiltonian Structures and Nambu Mechanics in an Arbitrary Dimension
A. Tegmen, A. Vercin
A general algebraic condition for the functional independence of 2n-1 constants of motion of an n-dimensional maximal superintegrable Hamiltonian system has been proved for an arbi…