On the harmonic oscillator on the Lobachevsky plane

Author:

Šťovíček P.,Tušek M.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference14 articles.

1. M. Antoine, A. Comtet, and S. Ouvry, “Scattering on a Hyperbolic Torus in a Constant Magnetic Field,” J. Phys. A: Math. Gen. 23, 3699–3710 (1990).

2. H. Bateman and A. Erdélyi, Higher Transcendental Functions III (McGraw-Hill Book Company, 1955).

3. F. A. Berezin, and M.A. Shubin, The Schrödinger Equation (Kluwer Academic Publishers, 1991).

4. J. Brüning, V. Geyler, and I. Lobanov, “Spectral Properties of a Short-Range Impurity in a Quantum Dot,” J. Math. Phys. 46, 1267–1290 (2004).

5. J. Brüning, V. Geyler, and K. Pankrashkin, “On-Diagonal Singularities of the Green Function for Schrödinger Operators,” J. Math. Phys. 46, 113508 (2005).

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1. Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces;Journal of Physics A: Mathematical and Theoretical;2012-06-14

2. The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach;Journal of Mathematical Physics;2011-07

3. On the Spectrum of a Quantum Dot with Impurity in the Lobachevsky Plane;Recent Advances in Operator Theory in Hilbert and Krein Spaces;2009

4. A Quantum Dot with Impurity in the Lobachevsky Plane;Spectral Theory in Inner Product Spaces and Applications;2008

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