Results 41 to 50 of about 2,696,066 (112)
Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model [PDF]
Physical Review ResearchStrongly interacting nonequilibrium systems are of great fundamental interest, yet their inherent complexity make them notoriously hard to analyze. We demonstrate that the dynamics of the Bose-Hubbard model, which by itself evades solvability, can be ...
Christopher Ekman, E. Bergholtz
semanticscholar +1 more source
Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests [PDF]
, 2015 The main purpose of this article is to show how symmetry structures in partial differential equations can be preserved in a discrete world and reflected in difference schemes. Three different structure preserving discretizations of the Liouville equation
Levi, Decio +2 more
core +1 more source
Quasi-exactly solvable Schr\"odinger equations, symmetric polynomials, and functional Bethe ansatz method [PDF]
, 2018 For applications to quasi-exactly solvable Schrodinger equations in quantum mechanics, we consider the general conditions that have to be satisfied by the coefficients of a second-order differential equation with at most $k+1$ singular points in order ...
C. Quesne
semanticscholar +1 more source
, 2003 Using the methods of the theory of formal symmetries, we obtain new easily verifiable sufficient conditions for a recursion operator to produce a hierarchy of local generalized symmetries. An important advantage of our approach is that under certain mild
Sergyeyev, Artur
core +2 more sources
Discrete Symmetries and Nonlocal Reductions [PDF]
, 2019 We show that nonlocal reductions of systems of integrable nonlinear partial differential equations are the special discrete symmetry transformations.
arxiv +1 more source
Laurent Polynomials and Superintegrable Maps [PDF]
, 2007 This article is dedicated to the memory of Vadim Kuznetsov, and begins with some of the author's recollections of him. Thereafter, a brief review of Somos sequences is provided, with particular focus being made on the integrable structure of Somos-4 ...
Hone, Andrew N.W.
core +1 more source
Crum's Theorem for `Discrete' Quantum Mechanics [PDF]
, 2009 In one-dimensional quantum mechanics, or the Sturm-Liouville theory, Crum's theorem describes the relationship between the original and the associated Hamiltonian systems, which are iso-spectral except for the lowest energy state.
Odake, Satoru, Sasaki, Ryu
core +2 more sources
Nonabelian ${\mathfrak so}_3$ Euler top [PDF]
arXiv, 2021 Using the nonabilinization procedure, we find an integrable matrix version of the Euler top on $\mathfrak{so}_3$
arxiv
Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist [PDF]
, 2004 We construct models describing interaction between a spin $s$ and a single bosonic mode using a quantum inverse scattering procedure. The boundary conditions are generically twisted by generic matrices with both diagonal and off-diagonal entries.
31 +26 more
core +2 more sources
, 2009 We propose a scheme for nonlinearizing linear equations to generate integrable nonlinear systems of both the AKNS and the KN classes, based on the simple idea of dimensional analysis and detecting the building blocks of the Lax pair.
Kundu, Anjan
core +1 more source