Two-dimensional supersymmetric quantum mechanics: two fixed centers of force.
González León, M.A., Mateos Guilarte, J., de la Torre Mayado, M. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “Multi-well potentials in quantum mechanics and stochastic processes.”
Two-dimensional supersymmetric quantum mechanics: two fixed centers of force.
Generalized deformed commutation relations with nonzero minimal uncertainties in position and/or momentum and applications to quantum mechanics.
Quesne, Christiane, Tkachuk, Volodymyr M. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.
Cariñena, José F., Rañada, Manuel F., Santander, Mariano (2007)
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Comments on the dynamics of the Pais-Uhlenbeck oscillator.
Smilga, Andrei V. (2009)
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Exact propagators for soliton potentials.
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Large- expansion method for two-body Dirac equation.
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Effective Evolution Equations in Quantum Physics
Benjamin Schlein (2011)
Journées Équations aux dérivées partielles
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In these notes, we review some recent mathematical results concerning the derivation of effective evolution equations from many body quantum mechanics. In particular, we discuss the emergence of the Hartree equation in the so-called mean field regime (for example, for systems of gravitating bosons), and we show that the Gross-Pitaevskii equation approximates the dynamics of initially trapped Bose-Einstein condensates. We explain how effective evolution equations can be derived, on the...
Wigner quantization of Hamiltonians describing harmonic oscillators coupled by a general interaction matrix.
Regniers, Gilles, Van der Jeugt, Joris (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Quantum information from graviton-matter gas.
Glinka, Lukasz-Andrzej (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Supersymmetrical separation of variables in two-dimensional quantum mechanics.
Ioffe, Mikhail V. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Flatland position-dependent-mass: polar coordinates, separability and exact solvability.
Mazharimousavi, S.Habib, Mustafa, Omar (2010)
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Transverse evolution operator for the Gross-Pitaevskii equation in semiclassical approximation.
Borisov, Alexey, Shapovalov, Alexander, Trifonov, Andrey (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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