Results 161 to 170 of about 17,102 (215)

Equidistant spectra of anharmonic oscillators

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1994
Some representative potentials of the anharmonic-oscillator type are constructed. Some corresponding spectra-shift operators are also constructed. These operators are a natural generalization of Fok creation and annihilation operators. The Schrödinger problem for these potentials leads to an equidistant energy spectrum for all excited states, which are
Dubov, S. Yu., Eleonskiĭ, V. M., Kulagin, N. E.   +2 more
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Observation of anharmonic Bloch oscillations

Optics Letters, 2011
We report on the experimental observation of Bloch oscillations of an optical wave packet in a lattice with second-order coupling. To this end, we employ zigzag waveguide arrays, in which the second-order coupling can be precisely tuned.
Dreisow, F., Wang, G., Heinrich, M., Keil, R., Tunnermann, A., Nolte, S., Szameit, A.   +6 more
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Generalized Anharmonic Oscillator

Journal of Mathematical Physics, 1970
The generalized anharmonic oscillator is defined by the Hamiltonian HN, which in the coordinate space representation is given by HN = −d2/dx2 + ¼x2 + g(½x2)N. The analytic properties of the energy levels of HN as functions of complex coupling g are derived and described. Zeroth-order WKB techniques are used in the mathematical analysis.
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Isochronous anharmonic oscillations

Canadian Journal of Physics, 1998
The problem of a particle oscillating without friction on a curve in a vertical plane (referred to as a vertical curve) is addressed. It is shown that there are infinitely many asymmetric concave vertical curves on which oscillations of a particle remain isochronous.
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General anharmonic oscillators

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1978
The eigenvalue problem of the general anharmonic oscillator (Hamiltonian H 2 μ ( k, λ ) = -d 2 / d x 2 + kx 2 + λx
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Thermodynamics of anharmonic oscillator

Chemical Physics Letters, 1979
Abstract We suggest an approximate expression for the energy eigenvalues of an anharmonic oscillator potential of the form 1 2 m ω 2 x 2 + μ x 4 . We use these eigenvalues to calculate the partition function and specific heat.
M.M. Pant, S.K. Mitra
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Symmetrically anharmonic oscillators

Physical Review D, 1981
We propose a new nonrelativistic Pauli-type equation where some specific small relativistic terms are retained. With the confining potentials ${V}_{\ensuremath{\infty}}(x)$ approximated by the polynomials ${V}_{m}(x)={g}_{0}{x}^{2}+\ensuremath{\cdots}+{g}_{m}{x}^{2m+2}$, ${g}_{m}g0$, the nonzero kinematical corrections ${T}_{m}\ensuremath{-}{T}_{0 ...
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Comments on "Anharmonic oscillator"

Physical Review D, 1979
It is pointed out that the quantization conditions derived by Lu, Wald, and Young in a paper on an anharmonic oscillator are the same as the well-known JWKB quantization condition, particularized to JWKB approximations of the third and fifth orders, which can be derived in a much simpler and more general way.
P. O. Fröman, F. Karlsson, M. Lakshmanan   +2 more
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Anharmonic oscillator description of plasma oscillations

The Physics of Fluids, 1976
Three recently investigated plasma oscillations have been found to be described by a nonlinear differential equation of the form d2x/dt2+ω20x+bx2+ax3=0. This equation is similar to the Duffing equation, but has many additional features. These features include additional shifts in the frequency of oscillation, asymmetry of the amplitude of oscillation ...
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A supersymmetric anharmonic oscillator

Soviet Physics Journal, 1990
We consider the supersymmetric model obtained from the Wess-Zumino model with interaction, with the help of a dimensional reduction. The solution is found of the corresponding classical problem with a precision up to terms of the third order of smallness. A quantum model of such a system is constructed.
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