Pankaj Sharan

Position Operators of Non-relativistic Quantum Mechanics

Springer eBooks, 2020

Birkhäuser Basel eBooks, 2009

We consider the set of C k bounded tensor fields of type (r,s) on R 4 in the topology of uniform ... more We consider the set of C k bounded tensor fields of type (r,s) on R 4 in the topology of uniform C k convergence. For each k ~ 2, the map sending a metric to its curvature tensor is shown to be analytic at the Minkowski metric. The same is true of the map sending a metric to its Einstein tensor. The well-known linearized theory of gravitation amounts to studying the directional derivatives of these maps. An iterative method for solving the full field equations along an analytic curve of Einstein tensors passing through zero is proposed. 1 D. Lerner, Comm. Math. Phys. (to be published).

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Elementary Differential Geometry

Birkhäuser Basel eBooks, 2009

General Features of Spacetime

Birkhäuser Basel eBooks, 2009

Two theorems in classical mechanics

American Journal of Physics, Apr 1, 1982

Two simple results are proved for a set of physical quantities that are the classical analog of t... more

Fock Spaces

Some Unusual Topics in Quantum Mechanics

A Beam of Particles $$=$$ A Plane Wave?

SpringerBriefs in Physics, 2020

Interaction $$=$$ Exchange of Quanta

SpringerBriefs in Physics, 2020

Star-Product Formulation of Quantum Mechanics

Additional Topics in Geometry

Proof of Wigner’s Theorem

Can There Be a Non-linear Quantum Mechanics?

Some Unusual Topics in Quantum Mechanics

What is Curvature?