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We discuss the notion of integrability in quantum mechanics.
Über Funktionen Von Funktionaloperatoren
J. von Neumann · 1931
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On Conservation of Conditionally Periodic Motions for a Small Change in Hamilton’s Function
A. N. Kolmogorov · 1954
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On Invariant Curves of Area-Preserving Mappings of an Annulus
J. K. Moser · 1962
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Proof of a Theorem of A. N. Kolmogorov on the Preservation of Conditionally Periodic Motions under a Small Perturbation of the Hamiltonian
V. I. Arnold · 1963
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A restricted class of exact eigenstates of the pairing-force hamiltonian
R. W. Richardson · 1963
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Application to the exact theory of the pairing model to some even isotopes of lead
R.W. Richardson · 1963
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Exact eigenstates of the pairing-force hamiltonian
R. W. Richardson and N. Sherman · 1964
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Non-ergodicity of phase functions in certain systems
P. Mazur · 1969
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Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials
F. Calogero · 1971
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Exact Results for a Quantum Many-Body Problem in One Dimension
B. Sutherland · 1971
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Ergodicity, constants of motion, and bounds for susceptibilities
M. Suzuki · 1971
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Exact Results for a Quantum Many-Body Problem in One Dimension. II
B. Sutherland · 1972
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On the lower bound of Mazur for autocorrelation functions. Ergodicity
M. Sirugue and A. Verbeure · 1973
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Dynamical charges in the quantized renormalized massive Thirring model
M. Lüscher · 1976
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Level Clustering in the Regular Spectrum
M. V. Berry and M. Tabor · 1977
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Mathematical Methods of Classical Mechanics
V. I. Arnold · 1978
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Ground state representation of the infinite one-dimensional Heisenberg ferromagnet. IV. A completely integrable quantum system
D. Babbitt and L. Thomas · 1979
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Quantum inverse scattering method and the Heisenberg ferromagnet
P. P. Kulish and E. K. Sklyanin · 1979
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Yang-Baxter equation and representation theory: I
P. Kulish, N. Reshetikhin, and E. Sklyanin · 1981
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Solutions of the Yang-Baxter equation
P. P. Kulish and E. K. Sklyanin · 1982
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Exactly Solved Models in Statistical Mechanics
R. Baxter · 1982
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Local Hamiltonians for integrable quantum models on a lattice
V. O. Tarasov, L. A. Takhtadzhyan, and L. D. Faddeev · 1983
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La fonction d’onde de Bethe
M. Gaudin · 1983
Cited alongside, same era.
Classical versus quantum integrability
J. Hietarinta · 1984
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Local Hamiltonians for integrable quantum models on a lattice. II
V. O. Tarasov · 1984
Cited alongside, same era.
Families of commuting transfer matrices and integrable models with disorder
H. J. de Vega · 1984
Cited alongside, same era.
Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-1/2 antiferromagnetic Heisenberg chain with 1/ r 2 r^{2} exchange
F. D. M. Haldane · 1988
Cited alongside, same era.
Exact solution of an S=1/2 Heisenberg antiferromagnetic chain with long-ranged interactions
B. S. Shastry · 1988
Cited alongside, same era.
Superintegrability with third-order integrals in quantum and classical mechanics
S. Gravel and P. Winternitz · 2002
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Algebraic Bethe ansatz for a discrete-state BCS pairing model
J. von Delft and R. Poghossian · 2002
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What is complete integrability in quantum mechanics
L. D. Faddeev · 2004
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Beautiful Models
B. Sutherland · 2004
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Crossover from Poisson to Wigner-Dyson level statistics in spin chains with integrability breaking
D. A. Rabson, B. N. Narozhny, and A. J. Millis · 2004
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Stringent numerical test of the Poisson distribution for finite quantum integrable Hamiltonians
A. Relaño, J. Dukelsky, J. M. G. Gómez, and J. Retamosa · 2004
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The problem of quantum integrability
S. Weigert · 1992
Cited alongside, same era.
Quantum chaos in spin-fermion models
G. Montambaux, D. Poilblanc, J. Bellissard, and C. Sire · 1993
Cited alongside, same era.
Poisson vs. GOE Statistics in Integrable and Non-Integrable Quantum Hamiltonians
D. Poilblanc, T. Ziman, J. Bellissard, F. Mila, and G. Montambaux · 1993
Cited alongside, same era.
Quantum Inverse Scattering Method and Correlation Functions
V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin · 1993
Cited alongside, same era.
Lattice integrable systems of Haldane-Shastry type
A. P. Polychronakos · 1993
Cited alongside, same era.
Yang-Baxter equation in long-range interacting systems
D. Bernard, M. Gaudin, F. D. M. Haldane, and V. Pasquier · 1993
Cited alongside, same era.
Universality of the one-dimensional Bose gas with delta interaction
L. Amico and V. Korepin · 2004
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Global properties of the spectrum of the Haldane-Shastry spin chain
F. Finkel and A. González-López · 2005
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Exact partition function of S U ( m | n ) SU(m|n) supersymmetric Haldane-Shastry spin chain
B. Basu-Mallick and N. Bondyopadhaya · 2006
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Quantum quenches in extended systems
P. Calabrese and J. Cardy · 2007
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Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of 1D Lattice Hard-Core Bosons
M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii · 2007
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Quantum integrability and nonintegrability in the spin-boson model
V. V. Stepanov, G. Müller, and J. Stolze · 2008
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The Berry-Tabor conjecture for spin chains of Haldane-Shastry type
J. C. Barba, F. Finkel, A. González-López, and M. A. Rodríguez · 2008
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Polychronakos-Frahm spin chain of B C N BC_{N} type and the Berry-Tabor conjecture
J. C. Barba, F. Finkel, A. González-López, and M. A. Rodríguez · 2008
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Towards a definition of quantum integrability
J. Clémente-Gallardo and G. Marmo · 2009
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An exactly solvable supersymmetric spin chain of bcn type
J.C. Barba, F. Finkel, A. González-López, and M.A. Rodríguez · 2009
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Inozemtsev’s hyperbolic spin model and its related spin chain
J.C. Barba, F. Finkel, A. González-López, and M.A. Rodríguez · 2010
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Level density of spin chains of Haldane-Shastry type
A. Enciso, F. Finkel, and A. González-López · 2010
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Focus on Dynamics and Thermalization in Isolated Quantum Many-Body Systems
M. A. Cazalilla and M. Rigol · 2010
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Nonequilibrium dynamics of closed interacting quantum systems
A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore · 2010
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Dynamics and thermalization in correlated one-dimensional lattice systems
M. Rigol · 2010
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Thermalization in an interacting spin system in the transition from integrability to chaos
A Relaño · 2010
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