“School of Physic”

Back to Papers Home
Back to Papers of School of Physic

Paper   IPM / Physic / 17683
School of Physics
  Title:   Carroll-Schrodinger Equation
  Author(s):  M. Najafizadeh
  Status:   Preprint
  Year:  2024
  Supported by:  IPM
The Poincare symmetry can be contracted in two ways to yield the Galilei symmetry and the Carroll symmetry. The Schrodinger equation exhibits the Galilei symmetry and is a fundamental equation in Galilean quantum mechanics. However, the question remains: what is the quantum equation that corresponds to the Carroll symmetry? In this paper, we derive a novel equation, called the Carroll-Schrödinger equation, which describes the quantum dynamics in the Carrollian framework. We also introduce the Carroll-Schrodinger algebra, which is a conformal extension of the centrally extended Carroll algebra, and show that it is the symmetry algebra of the Carroll-Schrödinger equation in two dimensions. We generalize our results to arbitrary dimensions and discuss some possible applications and extensions of our work.

Download TeX format
back to top
scroll left or right