anharmonic oscillations
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Canonical transformations

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.

Canonical transformations

2020 ◽  
pp. 59-66
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.

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

2020 ◽  
Vol 1556 ◽  
pp. 012079
Author(s):  
A A Kartasheva ◽  
Yu B Golubovskii ◽  
V Yu Karasev
Keyword(s):  
Dust Particle ◽  
Anharmonic Oscillations

Study of large-angle anharmonic oscillations of a physical pendulum using an acceleration sensor

2017 ◽  
Vol 38 (4) ◽  
pp. 045004 ◽  
Author(s):  
João C Fernandes ◽  
Pedro J Sebastião ◽  
Luís N Gonçalves ◽  
António Ferraz
Keyword(s):  
Large Angle ◽  
Acceleration Sensor ◽  
Physical Pendulum ◽  
Anharmonic Oscillations
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