International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2572

Full Length Research Paper

New formulation of a forgotten old variational principle

B. S. Rajput
  Department of Physics, Kumaon University, Nainital (U. P.) India. I-11, Gamma-2, Greater Noida (U. P.) India
Email: [email protected]

  •  Accepted: 07 December 2010
  •  Published: 04 March 2011



An old variational principle (Maupertuis principle), forgotten as inconvenient quirk of history, has been reformulated into the modified variational principle (MVP) along with its reciprocal principle (RMP)  and both these principles have been derived classically as well as quantum mechanically. Wide scope of applicability of these new principles in classical mechanics has been demonstrated by solving the problems of Linear Oscillator, Anharmonic Oscillator and Anisotropic 2D-Quartic Oscillator (chaotic system).


Key words: Variational principle, anharmonic oscillator, chaotic system.