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Time-dependent general quantum quadratic Hamiltonian system
, 2003Solutions of the Schrodinger equation and propagators for the general quadratic and the linear Hamiltonian system of canonical variables whose coefficients are arbitrary and time dependent are obtained when the corresponding classical solution is ...
K. Yeon, C. Um, T. George
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, 1995
For a two-degrees-of-freedom Hamiltonian system with a homoclinic orbit (loop) to a saddle-center we prove that the Poincare map on a section to the loop within the Hamiltonian level containing a saddle-center is a twist map with discontinuity at the ...
O. Koltsova, L. Lerman
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For a two-degrees-of-freedom Hamiltonian system with a homoclinic orbit (loop) to a saddle-center we prove that the Poincare map on a section to the loop within the Hamiltonian level containing a saddle-center is a twist map with discontinuity at the ...
O. Koltsova, L. Lerman
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Physical review. A, General physics, 1987
We study the transition from regularity to irregularity for a physically real Hamiltonian system, viz., the hydrogen atom in a uniform magnetic field. We obtain quantitative correspondence between the transition in classical phase space and the change in
Wintgen, Friedrich
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We study the transition from regularity to irregularity for a physically real Hamiltonian system, viz., the hydrogen atom in a uniform magnetic field. We obtain quantitative correspondence between the transition in classical phase space and the change in
Wintgen, Friedrich
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The Korteweg-de Vries equation as a Hamiltonian System
, 1971An improved rubbing and liquid applying apparatus for livestock is disclosed which comprises a frame structure that supports a rotatable elongated cylinder at an inclined angle relative to horizontal.
C. S. Gardner
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An integrable Hamiltonian system
Physics Letters A, 1995Abstract For any n , the dynamical system characterized by the Hamiltonian H = ∑ j , k = 1 n p j p k { λ + μ cos[ v ( q j − q k )]} is completely integrable: n constants of motion in involution are explicitly given, its initial-value problem is solved in completely explicit form.
Francesco Calogero, Francesco Calogero
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Journal of Mathematical Physics, 1995
The initial-value problem for the dynamical system characterized by the Hamiltonian H=λn∑nj=1 pj+μ∑nj,k=1 (pjpk)1/2 cos[ν(qj−qk)] is solved in completely explicit form, for arbitrary n. A set of matrices is introduced, whose remarkable properties are related to this problem, and also present an interest of their own.
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The initial-value problem for the dynamical system characterized by the Hamiltonian H=λn∑nj=1 pj+μ∑nj,k=1 (pjpk)1/2 cos[ν(qj−qk)] is solved in completely explicit form, for arbitrary n. A set of matrices is introduced, whose remarkable properties are related to this problem, and also present an interest of their own.
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Multifractal analysis of tori destruction in a molecular Hamiltonian system.
Physical review. E, Statistical, nonlinear, and soft matter physics, 2001In this paper, an analysis of the phase space structure of the isomerizing molecular system LiNC/LiCN, using Poincaré surfaces of section and frequency analysis, is presented.
A. Tarquis +3 more
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A Restudy of the Paradox on an Elastic Wedge Based on the Hamiltonian System
, 2001In this paper, the paradox on the elastic wedge is restudied under the Hamiltonian system. This research shows that a special paradox in Euclidean space under the Lagrange system is just the Jordan form solutions in symplectic space under the Hamiltonian
W. Yao, C. Xu
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A completely integrable Hamiltonian system
Journal of Mathematical Physics, 1996The dynamical system characterized by the Hamiltonian H(q,p)=∑j,k=1n pjpkf(q dj−qk) with f(x)=λ+μ cos(νx)+μ′ sin(ν‖x‖) is completely integrable. Here n is an arbitrary positive integer and λ,μ,μ′,ν are 4 arbitrary constants (λ and μ real, μ′ and ν both real or both imaginary).
Calogero, F., Françoise, Jean-Pierre
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, 1996
One of the key problem in Hamiltonian mechanics is to describe the behaviour of integrable Hamiltonian system with two degrees of freedom in neighbourhoods of singular leaves of the Liouville foliation.
V. Matveev
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One of the key problem in Hamiltonian mechanics is to describe the behaviour of integrable Hamiltonian system with two degrees of freedom in neighbourhoods of singular leaves of the Liouville foliation.
V. Matveev
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