Results 21 to 30 of about 129,282 (240)

A note on the integrability of exceptional potentials via polynomial bi-homogeneous potentials

Bulletin of Computational Applied Mathematics, 2021
This paper is concerned with the polynomial integrability of the two-dimensional Hamiltonian systems associated to complex homogeneous polynomial potentials of degree k of type $V_{k,l}=\alpha (q_2-i q_1)^l (q_2+iq_1)^{k-l}$ with $\alpha$ in C and l=0 ...
Primitivo B. Acosta-Humánez, Martha Álvarez-Ramírez, Teresinha J. Stuchi   +2 more
doaj  

The quantization of the classical two-dimensional Hamiltonian systems

Discrete and Continuous Models and Applied Computational Science, 2022
The paper considers the class of Hamiltonian systems with two degrees of freedom. Based on the classical normal form, according to the rules of Born-Jordan and Weyl-MacCoy, its quantum analogs are constructed for which the eigenvalue problem is solved ...
Irina N. Belyaeva
doaj   +1 more source

On the interpretation of time-reparametrization-invariant quantum mechanics [PDF]

, 1995
The classical and quantum dynamics of simple time-reparametrization- invariant models containing two degrees of freedom are studied in detail. Elimination of one ``clock'' variable through the Hamiltonian constraint leads to a description of time ...
A. Ashtekar, B. S. DeWitt, C. Isham, C. Lanczos, C. Rovelli, C. Rovelli, C. Rovelli, D. N. Page, J. D. Brown, J. J. Halliwell, J. J. Halliwell, J. Louko, K. V. Kuchar, M. S. Plyushchay, R. Arnowitt, W. G. Unruh, W. G. Unruh   +16 more
core   +2 more sources

Spin-induced orbital frustration in a hexagonal optical lattice

Physical Review Research, 2021
Complex lattices provide a versatile ground for fascinating quantum many-body physics. Here, we propose an exotic mechanics for generating orbital frustration in hexagonal lattices. We study two-component (pseudospin-1/2) Bose gases in p-orbital bands of
Yongqiang Li, Jianmin Yuan, Xiaoji Zhou, Xiaopeng Li   +3 more
doaj   +1 more source

Synthesis of linear quantum stochastic systems via quantum feedback networks [PDF]

, 2009
Recent theoretical and experimental investigations of coherent feedback control, the feedback control of a quantum system with another quantum system, has raised the important problem of how to synthesize a class of quantum systems, called the class of ...
Nurdin, H. I.
core   +1 more source

Approximate First Integrals of a Hamiltonian System with Two-Degrees of Freedom [PDF]

Mathematical and Computational Applications, 2003
Approximate Noether symmetries of a Hamiltonian system with two-degrees of freedom have been determined by incorporating the resonances. Approximate first integrals corresponding to these symmetries have been obtained by utilizing the approximate. version of the Noether’s theorem.
openaire   +1 more source

Separatrix splitting at a Hamiltonian $0^2 i\omega$ bifurcation [PDF]

, 2014
We discuss the splitting of a separatrix in a generic unfolding of a degenerate equilibrium in a Hamiltonian system with two degrees of freedom. We assume that the unperturbed fixed point has two purely imaginary eigenvalues and a double zero one.
A Giorgilli, A Mielke, AR Champneys, AR Champneys, C Grotta Ragazzo, D Treschev, E Lombardi, G Iooss, G Iooss, G Iooss, G L Alfimov, H W Broer, I Baldomá, I Baldomá, I Baldomá, J Llibre, J Moser, Lev Lerman, LM Lerman, LM Lerman, M Haragus, O Koltsova, O Koltsova, OYu Koltsova, T Jézéquel, V G Gelfreich, V G Gelfreich, V G Gelfreich, V Gelfreich, V Gelfreich, V Gelfreich, Vassili Gelfreich, VG Gelfreich   +32 more
core   +1 more source

The monodromy in the Hamiltonian Hopf bifurcation [PDF]

, 1997
A simple, straightforward computation is given of the monodromy near an equilibrium point of a Hamiltonian system with two degrees of freedom, which is close to a nondiagonalizable ...
Duistermaat, J.J.
core   +2 more sources

Heteroclinic Orbits and Nonintegrability in Two-Degree-of-Freedom Hamiltonian Systems with Saddle-Centers [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2019
We consider a class of two-degree-of-freedom Hamiltonian systems with saddle-centers connected by heteroclinic orbits and discuss some relationships between the existence of transverse heteroclinic orbits and nonintegrability. By the Lyapunov center theorem there is a family of periodic orbits near each of the saddle-centers, and the Hessian matrices ...
Yagasaki, K., Yamanaka, S.
openaire   +3 more sources

Quantum gravity on a manifold with boundaries: Schrödinger evolution and constraints

European Physical Journal C: Particles and Fields, 2022
In this work, we derive the boundary Schrödinger (functional) equation for the wave function of a quantum gravity system on a manifold with boundaries together with a new constraint equation defined on the timelike boundary.
J. A. Rosabal
doaj   +1 more source