There's more than one way to skin Schrödinger's cat

DOI10.1016/0167-2789(92)90203-YzbMath0760.58051WikidataQ62601133 ScholiaQ62601133MaRDI QIDQ1207211

Alwyn C. Scott, Viktor Z.Enol'skij, Eilbeck, J. C., Mario Salerno

Publication date: 1 April 1993

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Bethe ansatzquantum inverse scattering methodclassical integrabilitynumber state method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of global analysis to the sciences (58Z05) Inverse scattering problems in quantum theory (81U40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (16)

The quantum discrete self-trapping equation in the Hartree approximation ⋮ Quantum lattice solitons ⋮ Integrable model of bosons in a four-well ring with anisotropic tunneling ⋮ Nonlinear integrable systems containing the canonical subsystems of distinct physical origins ⋮ Quantizing a rotating wave ⋮ A Bethe ansatz study of the ground state energy for the repulsive Bose–Hubbard dimer ⋮ Quantum integrable models of interacting bosons and classical \(r\)-matrices with spectral parameters ⋮ Exact Solution of Two-Site Bose–Hubbard Model with Generic Open Boundaries ⋮ Fast energy transfer mediated by multi-quanta bound states in a nonlinear quantum lattice ⋮ Quantum nonlinear lattices and coherent state vectors ⋮ Four-component integrable systems inspired by the Toda and the Davydov-Kyslukha models ⋮ On the quantum inverse scattering method for the DST dimer ⋮ Solitons on lattices ⋮ On integrable systems close to the Toda lattice ⋮ The Yang–Baxter paradox ⋮ Quantum repulsive nonlinear Schrödinger models and their ``superconductivity.

Cites Work

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• The discrete self-trapping equation
• Two soluble models of an antiferromagnetic chain
• Expansions over the ‘‘squared’’ solutions and difference evolution equations
• A special case of Neumann's system and the Kowalewski-Chaplygin-Goryachev top
• The quantum theory of local modes in a coupled system of nonlinear oscillators
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Binding energies for discrete nonlinear Schrödinger equations
• Alternate quantizations of the discrete self-trapping dimer
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Factorization Method

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