Lagrangian and Hamiltonian dynamics with imaginary time
-
Rami Ahmad El-Nabulsi
Abstract.
Certain aspects of Lagrangian and Hamiltonian dynamics are investigated
within the framework of an extended complex phase space
approach, characterized by the transformation 
and by the presence of the imaginary time variable 
in the
complex variable 
in a local chart. It is an application of
imaginary time which is essential in connecting quantum mechanics with
statistical physics. We argue that the novel complexified approach
enhances the system of dynamical equations obtained in the sense that the new
derived equations appear as certain combinations of former equations. Furthermore, it was shown that the physics we experience in the real time is somewhat different from what is experienced in imaginary region.
Further consequences are discussed in some details.
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Extending Lipschitz mappings continuously
- Approximation of entire function solutions of the Helmholtz equation having slow growth
- Optimal one-parameter mean bounds for the convex combination of arithmetic and geometric means
- Some theorems on fractional semilinear evolution equations
- Existence results for second-order impulsive neutral functional differential inclusions in Banach spaces
- Integral representation of set-valued sine families
- Modified Mann iterative algorithms by hybrid projection methods for nonexpansive semigroups and mixed equilibrium problems
- On the Lebesgue density theorem
- Lagrangian and Hamiltonian dynamics with imaginary time
- The Stone representation of an atomic complete Boolean algebra is Marczewski–Burstin representable
