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PERIODIC SOLUTIONS OF THE RELATIVISTIC HARMONIC OSCILLATOR

โœ Scribed by R.E. Mickens

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
127 KB
Volume
212
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

Arguments have been given by Greenspan [1] to suggest that the equation of motion for a relativistic harmonic oscillator is

(1)

๐Ÿ“œ SIMILAR VOLUMES

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The method of equivalent linearization has been extended to obtain periodic responses of harmonically excited, piecewise non-linear oscillators. A dual representation of the solution is used to enhance greatly the algebraic simplicity. The stability analysis of the solutions so obtained is carried o

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Abstrac t. For a three-dimensional model of the harmonic oscillator in the relativistic configurational r-representation wave functions in the spherical coordinates r = (r, 0, q ~) are found. The generating function, orthogonality and various recurrence relations for the radial part of the wave func