Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Sharan, Pankaj"'
Autor:
Sharan, Pankaj
Variational formalism in the extended phase space for fields is applied to gravity. It is shown that the requirement of invariance under arbitrary local inertial frames implies a coupling of torsion to a 3-form of matter fields on the one hand and to
Externí odkaz:
http://arxiv.org/abs/1204.0669
Autor:
Sharan, Pankaj
It is shown that the nature of physical time requires the extended phase-space in mechanics to have a bundle structure with time as the 1-dimensional base manifold and the phase space as the fiber. This bundle picture of the extended phase space is t
Externí odkaz:
http://arxiv.org/abs/1201.4092
Autor:
Sharan, Pankaj
Necessary and sufficient condition for the existence of a minimum uncertainty state for an arbitrary pair of observables is given.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/1108.4359
Autor:
Sharan, Pankaj
The `directly Hamiltonian' field theory in the extended phase space is applied to gauge fields in curved spacetime background. These fields being differential 1-forms, have canonical momenta which are 2-forms. The Poincare-Cartan 4-forms for matter a
Externí odkaz:
http://arxiv.org/abs/1105.2696
Autor:
Sharan, Pankaj
Poincare-Cartan form for scalar field is constructed as a differential 4-form in a `directly Hamiltonian' formalism which does not use a Lagrangian. The canonical momentum $p$ of a scalar field $\phi$ is a 1-form and the Poincare-Cartan 4-form $\Thet
Externí odkaz:
http://arxiv.org/abs/1104.5095
Autor:
Sharan, Pankaj
Relation between the Peierls and the Poisson bracket is derived in classical mechanics of time-dependent systems. Equal-time Peierls brackets are seen to be the same as the Poisson brackets in simple cases but a proof for a general Hamiltonian is lac
Externí odkaz:
http://arxiv.org/abs/1002.3092
Autor:
Sharan, Pankaj, Chingangbam, Pravabati
We recast Dirac's Lagrangian in quantum mechanics in the language of vector bundles and show that the action is an operator-valued connection one-form. Phases associated with change of frames of reference are seen to be total differentials in the tra
Externí odkaz:
http://arxiv.org/abs/quant-ph/0301133
Autor:
Chingangbam, Pravabati, Sharan, Pankaj
Publikováno v:
Phys. Rev. A, 64 (2001) 042107
Dynamical evolution is described as a parallel section on an infinite dimensional Hilbert bundle over the base manifold of all frames of reference. The parallel section is defined by an operator-valued connection whose components are the generators o
Externí odkaz:
http://arxiv.org/abs/quant-ph/0105074
Autor:
Chingangbam, P., Sharan, Pankaj
We examine two singular Lagrangian systems with constraints which apparently reduce the phase space to a 2-dimensional sphere and a 2-dimensional hyperboloid. Rigorous constraint analysis by Dirac's method, however, gives 2-dimensional open disc and
Externí odkaz:
http://arxiv.org/abs/quant-ph/9910049