搜索结果: 1-12 共查到“数学物理 the oscillator”相关记录12条 . 查询时间(0.109 秒)
Actions for an Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1+1 Dimensions
Actions Hierarchy of Attractive Nonlinear Oscillators the Quartic Oscillator 1+1 Dimensions Mathematical Physics
2012/4/23
In this paper, we present an explicit form in terms of end-point data for the classical action $S_{2n}$ evaluated on extremals satisfying the Hamilton-Jacobi equation for each member of a hierarchy of...
An Invertible Linearization Map for the Quartic Oscillator
Invertible Linearization Map the Quartic Oscillator Mathematical Physics
2012/4/23
The set of world lines for the non-relativistic quartic oscillator satisfying Newton's equation of motion for all space and time in 1-1 dimensions with no constraints other than the "spring" restoring...
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
A semiclassical heat trace expansion for the perturbed harmonic oscillator
semiclassical heat trace expansion the perturbed harmonic oscillator Spectral Theory
2011/9/9
Abstract: In this paper we study a semiclassical heat trace expansion for perturbations of the harmonic oscillator, by adapting to the semiclassical setting techniques developed by Hitrik and Polterov...
Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials
multiple Charlier polynomials non-Hermitian Hamiltonians algebraic model
2011/7/26
Abstract: A set of r non-Hermitian oscillator Hamiltonians in r dimensions is shown to be simultaneously diagonalizable. Their spectra is real and the common eigenstates are expressed in terms of mult...
Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons
the quantum damped harmonic oscillator pseudo-bosons
2011/7/26
Abstract: It is known that a self-adjoint, time-independent hamiltonian can be defined for the quantum damped harmonic oscillator. We show here that the two vacua naturally associated to this operator...
The su(2)_α Hahn oscillator and a discrete Hahn-Fourier transform
su(2)_α Hahn oscillator discrete Hahn-Fourier High Energy Physics
2011/7/25
Abstract: We define the quadratic algebra su(2)_{\alpha} which is a one-parameter deformation of the Lie algebra su(2) extended by a parity operator. The odd-dimensional representations of su(2) (with...
Functional renormalization group for quantized anharmonic oscillator
Functional renormalization group quantized anharmonic oscillator
2010/10/27
Functional renormalization group methods formulated in the real-time formalism are applied to
the O(N) symmetric quantum anharmonic oscillator, considered as a 0 + 1 dimensional quantum
field-theori...
Bistable Chimera Attractors on a Triangular Network of Oscillator Populations
triangular network phase oscillators saddle node
2010/4/2
We study a triangular network of three populations of coupled phase oscillators with identical frequencies. The populations interact nonlocally, in the sense that all oscillators are coupled to one an...
The Hypervirial-Padé Summation Method Applied to the Anharmonic Oscillator
Anharmonic oscillator Schrodinger equation hypervirial theorems Padé summation method
2010/4/12
The energy eigenvalues of the anharmonic oscillator characterized by the cubic potential for various eigenstates are determined within the framework of the hypervirial-Padé summation method. For this ...
Off-diagonal Matrix Elements and Sum Rules involving Coulomb and Isotropic Oscillator Functions
recursion relations off-diagonal matrix elements sum rules Coulomb system isotropic oscillator system
2010/4/13
Off-diagonal matrix elements and sum rules for the Coulomb and isotropic oscillator systems are obtained from a study of relations between the off-diagonal matrix elements of a general recursion relat...
Several statistical properties of the Coon-Baker-Yu (CBY) q-oscillator algebra are discussed. Particular emphasis is given to a careful derivation of second quantized particle statistics obtained via ...