We discuss several models of nonlinear oscillators within the framework of a tomographic probability representation of quantum mechanics. Using the connection between the Green's function and the integrals of motion… Click to show full abstract
We discuss several models of nonlinear oscillators within the framework of a tomographic probability representation of quantum mechanics. Using the connection between the Green's function and the integrals of motion of quantum systems with the time-dependent Schrodinger equation with variable nonlinear Hamiltonians, the explicit tomograms for such systems are found. The case of quadratic and quasi-quadratic Hamiltonians are studied in detail.
               
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