Enhanced Anharmonic Oscillations in Cu0.5Tl0.5Ba2(Ca2−yMgy)Cu3−xCdxO10−δ (y = 0, 1; x = 0, 1.5) Superconductors

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. The general equation of these curves is derived, and a one-to-one correspondence between these curves and one-dimensional potentials is established. The results are compared with the existing literature, and an interesting nontrivial special case is discussed. Some issues regarding interpretation of the results in the context of action and angle variables are also addressed. PACS No. 03.20

Download Full-text

Anharmonic Oscillations of Mixed Ions in an RF Ion Trap

Journal of the Physical Society of Japan ◽

10.1143/jpsj.59.1127 ◽

1990 ◽

Vol 59 (4) ◽

pp. 1127-1130 ◽

Cited By ~ 5

Author(s):

Akihiro Kajita ◽

Masahiro Kimura ◽

Shunsuke Ohtani ◽

Hiroyuki Tawara ◽

Yahachi Saito

Keyword(s):

Ion Trap ◽

Anharmonic Oscillations

Download Full-text

Vibrational relaxation of diatomic molecules-anharmonic oscillations in a Boltzmann reservoir. Two-component system

Journal of Applied Mechanics and Technical Physics ◽

10.1007/bf00914133 ◽

1983 ◽

Vol 23 (5) ◽

pp. 597-604

Author(s):

V. M. Volokhov ◽

O. V. Skrebkov

Keyword(s):

Vibrational Relaxation ◽

Diatomic Molecules ◽

Two Component System ◽

Component System ◽

Two Component ◽

Anharmonic Oscillations

Download Full-text

Harmonic and anharmonic oscillations investigated by using a microcomputer-based Atwood’s machine

American Journal of Physics ◽

10.1119/1.19230 ◽

1999 ◽

Vol 67 (3) ◽

pp. 228-235 ◽

Cited By ~ 9

Author(s):

Barbara Pecori ◽

Giacomo Torzo ◽

Andrea Sconza

Keyword(s):

Anharmonic Oscillations

Download Full-text

Anharmonic oscillations of the single dust particle trapped in a standing striation

Journal of Physics Conference Series ◽

10.1088/1742-6596/1556/1/012079 ◽

2020 ◽

Vol 1556 ◽

pp. 012079

Author(s):

A A Kartasheva ◽

Yu B Golubovskii ◽

V Yu Karasev

Keyword(s):

Dust Particle ◽

Anharmonic Oscillations

Download Full-text

Canonical transformations

Exploring Classical Mechanics ◽

10.1093/oso/9780198853787.003.0024 ◽

2020 ◽

pp. 317-337

Author(s):

Gleb L. Kotkin ◽

Valeriy G. Serbo

Keyword(s):

Magnetic Field ◽

Harmonic Oscillator ◽

Canonical Transformation ◽

Hamiltonian Function ◽

Harmonic Oscillators ◽

Nonlinear Coupling ◽

Canonical Transformations ◽

Canonical Variables ◽

Anharmonic Oscillations ◽

The Given

This chapter addresses the canonical transformation defined by the given generating function, the rotation in the phase space as a canonical transformation, and themovement of the system as a canonical transformation. The chapter also discusses using the canonical transformations for solving the problems of the anharmonic oscillations and using the canonical transformation to diagonalize the Hamiltonian function of an anisotropic charged harmonic oscillator in a magnetic field. Finally, the chapter addresses the canonical variables which reduce the Hamiltonian function of the harmonic oscillator to zero and using them for consideration of the system of the harmonic oscillators with the weak nonlinear coupling.

Download Full-text