Results 11 to 20 of about 304,578 (296)

Spectral Analysis for Matrix Hamiltonian Operators [PDF]

Nonlinearity, 2010
In this work, we study the spectral properties of matrix Hamiltonians generated by linearizing the nonlinear Schr\"odinger equation about soliton solutions.
Agmon S, Asad M Simpson G, Berestycki H, Buslaev V S, Cazenave T, Coddington E A, Demanet L, Eastham M, Gideon Simpson, Hislop P, Jeremy L Marzuola, Marzuola J, Perelman G, Reed M, Rodnianski I Schlag W Soffer A, Shampine L, Simpson G Zwiers I, Stein E, Sulem C, Tao T, Tataru D, Taylor M   +21 more
core   +2 more sources

Multi-Hamiltonian structures for r-matrix systems [PDF]

Journal of Mathematical Physics, 2002
For the rational, elliptic and trigonometric r-matrices, we exhibit the links between three "levels" of Poisson spaces: (a) Some finite-dimensional spaces of matrix-valued holomorphic functions on the complex line; (b) Spaces of spectral curves and ...
Beauville A., Bottacin F., Hitchin N. J., Jacques Hurtubise, John Harnad, Magri F., Markman E., Pedroni M., Reyman A. G., Takasaki K.   +9 more
core   +3 more sources

Effective Hamiltonian and unitarity of the S matrix [PDF]

Physical Review E, 2003
The properties of open quantum systems are described well by an effective Hamiltonian ${\cal H}$ that consists of two parts: the Hamiltonian $H$ of the closed system with discrete eigenstates and the coupling matrix $W$ between discrete states and ...
A. Silva, A. Yacoby, A.I. Magunov, A.I. Magunov, C. Dembowski, C. Dembowski, C. Jung, C.J. Joachain, D.V. Savin, E. Buks, E. Hernández, E. Narevicius, E. Narevicius, E. Persson, F. Pistolesi, F.M. Dittes, H. Feshbach, H. Feshbach, H. Ishio, H.J. Stöckmann, H.M. Lauber, I. Rotter, I. Rotter, I. Rotter, I. Rotter, I. Rotter, I. Rotter, J. Göres, J. Okołowicz, K. Kobayashi, K. Pichugin, M. Müller, N. Manini, N. Moiseyev, P. Šeba, R. Schuster, S.D. Bosanac, S.D. Bosanac, S.Yu. Grebenshchikov, T. Guhr, T. Taniguchi, V. Madhavan, W. Vanroose, Y.V. Fyodorov, Y.V. Fyodorov, Y.V. Fyodorov   +45 more
core   +5 more sources

Hamiltonian reductions in matrix Painlevé systems

Letters in Mathematical Physics, 2023
AbstractFor certain finite groups $$G$$ G of Bäcklund transformations, we show that a dynamics of $$G$$ G -invariant configurations of $$n|G|$$ n | G |
Bershtein M., Grigorev A., Shchechkin A.
openaire   +3 more sources

Green’s matrix from Jacobi-matrix Hamiltonian [PDF]

Journal of Mathematical Physics, 1997
We propose two ways for determining the Green’s matrix for problems admitting Hamiltonians that have infinite symmetric tridiagonal (i.e., Jacobi) matrix form on some basis representation. In addition to the recurrence relation coming from the Jacobi-matrix, the first approach also requires the matrix elements of the Green’s operator between the first ...
Kónya, B., Lévai, G., Papp, Z.
openaire   +2 more sources

Oscillation criteria for Hamiltonian matrix difference systems [PDF]

Proceedings of the American Mathematical Society, 1993
We obtain some oscillation criteria for the Hamiltonian difference system \[ { Δ Y ( t ) = B ( t ) Y ( t + 1 )
Erbe, L. H., Yan, Pengxiang
openaire   +2 more sources

Approximating Hamiltonian dynamics with the Nyström method [PDF]

Quantum, 2020
Simulating the time-evolution of quantum mechanical systems is BQP-hard and expected to be one of the foremost applications of quantum computers. We consider classical algorithms for the approximation of Hamiltonian dynamics using subsampling methods ...
Alessandro Rudi, Leonard Wossnig, Carlo Ciliberto, Andrea Rocchetto, Massimiliano Pontil, Simone Severini   +5 more
doaj   +1 more source

Minimal realizations of supersymmetry for matrix Hamiltonians [PDF]

Physics Letters A, 2015
9 ...
Alexander A. Andrianov, Andrey V. Sokolov   +1 more
openaire   +2 more sources

Finite temperature negativity Hamiltonians of the massless Dirac fermion

Journal of High Energy Physics, 2023
The negativity Hamiltonian, defined as the logarithm of a partially transposed density matrix, provides an operatorial characterisation of mixed-state entanglement.
Federico Rottoli, Sara Murciano, Pasquale Calabrese   +2 more
doaj   +1 more source

Canonical transformations of linear Hamiltonian systems [PDF]

E3S Web of Conferences
In this paper we consider the linear Hamiltonian systems of differential equations. We explore the normalization of a non-singular Hamiltonian matrix. We solve a system of matrix equations to find the generating function of the canonical transformation ...
Titova Tatiana
doaj   +1 more source