The European Physical Journal Special Topics

, Volume 222, Issue 8, pp 1929–1938 | Cite as

Generalized classical mechanics

  • N. LaskinEmail author


Generalized classical mechanics has been introduced and developed as a classical counterpart of the fractional quantum mechanics. The Lagrangian of generalized classical mechanics has been introduced, and equation of motion has been obtained. Lagrange, Hamilton and Hamilton-Jacobi frameworks have been implemented. Oscillator model has been launched and solved in 1D case. A new equation for the period of oscillations of generalized classical oscillator has been found. The interplay between the energy dependency of the period of classical oscillations and the non-equidistant distribution of the energy levels for fractional quantum oscillator has been discussed. We discuss as well, the relationships between new equations of generalized classical mechanics and the well-known fundamental equations of classical mechanics.


European Physical Journal Special Topic Classical Mechanic Homogeneous Function Classical Counterpart Fractional Quantum 
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© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.TopQuark Inc.TorontoCanada

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