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Families of superintegrable Hamiltonians constructed from exceptional polynomials
Families of superintegrable Hamiltonians exceptional polynomials Mathematical Physics
2012/6/19
We introduce a family of exactly-solvable two-dimensional Hamiltonians whose wave functions are given in terms of Laguerre and exceptional Jacobi polynomials. The Hamiltonians contain purely quantum t...
Resolutions of identity for some non-Hermitian Hamiltonians II: proofs
non-Hermitian quantum mechanics exceptional points resolution of identity
2011/9/23
Abstract: This part is a continuation of the Part I where we built resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated func...
Resolutions of identity for some non-Hermitian Hamiltonians I: exceptional point in continuous spectrum
non-Hermitian quantum mechanics exceptional points resolution of identity
2011/9/23
Abstract: Resolutions of identity for certain non-Hermitian Hamiltonians constructed from biorthogonal sets of their eigen- and associated functions are given for the spectral problem defined on entir...
Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials
multiple Charlier polynomials non-Hermitian Hamiltonians algebraic model
2011/7/26
Abstract: A set of r non-Hermitian oscillator Hamiltonians in r dimensions is shown to be simultaneously diagonalizable. Their spectra is real and the common eigenstates are expressed in terms of mult...
Integrable relativistic systems given by Hamiltonians with momentum-spin-orbit coupling
Integrable relativistic systems Hamiltonians momentum-spin-orbit coupling
2011/7/26
Abstract: In the paper we investigate the evolution of the relativistic particle (massive and massless) with spin defined by Hamiltonian containing the terms with momentum-spin-orbit coupling. We inte...
Hierarchy of integrable Hamiltonians describing of nonlinear n-wave interaction
Hierarchy of integrable Hamiltonians nonlinear n-wave interaction Exactly Solvable and Integrable Systems
2011/7/26
Abstract: In the paper we construct an hierarchy of integrable Hamiltonian systems which describe the variation of n-wave envelopes in nonlinear dielectric medium. The exact solutions for some special...
Ground states of semi-relativistic Pauli-Fierz and no-pair Hamiltonians in QED at critical Coulomb coupling
Existence of ground states exponential localization no-pair Hamiltonian quantum electrodynamics
2011/7/26
Abstract: We consider the semi-relativistic Pauli-Fierz Hamiltonian and a no-pair model of a hydrogen-like atom interacting with a quantized photon field at the respective critical values of the Coulo...
Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
Non-Hermitian Hamiltonians Studying Resonance Statistics
2010/12/27
We briefly discuss construction of energy-dependent effective non-hermitian hamiltonians for studying resonances in open disordered systems
Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
Optical Lattice Hamiltonians Relativistic Quantum Electrodynamics
2011/1/7
We show how interpenetrating optical lattices containing Bose-Fermi mixtures can be constructed to emulate the thermodynamics of quantum electrodynamics (QED). We present models of neutral atoms on la...
Marginality of bulk-edge correspondence for single-valley Hamiltonians
Marginality of bulk-edge correspondence single-valley Hamiltonians
2010/11/17
We study the correspondence between the non-trivial topological properties associated with the
individual valleys of gapped bilayer graphene (BLG), as a prototypical multi-valley system, and the gapl...
Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
Optical Lattice Hamiltonians Relativistic Quantum Electrodynamics
2011/1/14
We show how interpenetrating optical lattices containing Bose-Fermi mixtures can be constructed
to emulate the thermodynamics of quantum electrodynamics (QED). We present models of neutral
atoms on ...
Krylov-Bogoliubov-Mitropolsky Averaging Used to Construct Effective Hamiltonians in the Theory of Strongly Correlated Electron Systems
Effective Hamiltonians Strongly Correlated Electron Systems
2010/11/23
We show that the Krylov-Bogoliubov-Mitropolsky averaging in the canonical formulation can be used as a method for constructing effective Hamiltonians in the theory of strongly correlated electron syst...
Next-to-leading order spin-orbit and spin(a)-spin(b) Hamiltonians for n gravitating spinning compact objects
post-Newtonian approximation binary and multiple stars celestial mechanics
2010/12/20
We derive the post-Newtonian next-to-leading order conservative spin-orbit and spin(a)-spin(b)
gravitational interaction Hamiltonians for arbitrary many compact objects. The spin-orbit Hamiltonian co...
Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
Optical Lattice Hamiltonians Relativistic Quantum Electrodynamics
2010/11/24
We show how interpenetrating optical lattices containing Bose-Fermi mixtures can be constructed
to emulate the thermodynamics of quantum electrodynamics (QED). We present models of neutral
atoms on ...
Principle of Maximum Entropy and Ground Spaces of Local Hamiltonians
Principle Maximum Entropy Ground Spaces f Local Hamiltonians
2010/11/5
The structure of the ground spaces of quantum systems consisting of local interactions is of fundamental importance to different areas of physics. In this Letter, we present a necessary and sufficient...