# Rigid particle revisited: Extrinsic curvature yields the Dirac equation

@article{Deriglazov2013RigidPR, title={Rigid particle revisited: Extrinsic curvature yields the Dirac equation}, author={Alexei A. Deriglazov and Armen Nersessian}, journal={Physics Letters A}, year={2013}, volume={378}, pages={1224-1227} }

## 18 Citations

### Relativistic particles with torsion in three-dimensional non-vacuum spacetimes

- Physics, Mathematics
- 2021

In this paper, we analyze trajectories of spacelike curves that are critical points of a Lagrangian depending on its total torsion. We focus on two important families of spacetimes, generalized…

### Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable

- Physics
- 2014

Basic notions of Dirac theory of constrained systems have their analogs in differential geometry. Combination of the two approaches gives more clear understanding of both classical and quantum…

### Geometric Potential and Dirac Quantization

- Geology
- 2018

A fundamental problem regarding the Dirac quantization of a free particle on an N−1 ( N≥2 ) curved hypersurface embedded in N flat space is the impossibility to give the same form of the…

### Point Particle with Extrinsic Curvature as a Boundary of a Nambu–Goto String: Classical and Quantum Model

- PhysicsAdvances in Applied Clifford Algebras
- 2015

It is shown how a string living in a higher dimensional space can be approximated as a point particle with squared extrinsic curvature. We consider a generalized Howe–Tucker action for such a “rigid…

### Point Particle with Extrinsic Curvature as a Boundary of a Nambu–Goto String: Classical and Quantum Model

- Physics
- 2014

It is shown how a string living in a higher dimensional space can be approximated as a point particle with squared extrinsic curvature. We consider a generalized Howe–Tucker action for such a “rigid…

### The 4D Dirac Equation in Five Dimensions

- PhysicsAnnalen der Physik
- 2018

The Dirac equation may be thought as originating from a theory of 5D space‐time. One way to formulate such a theory relies on a special 5D Clifford algebra and a spin‐1/2 constraint equation for…

### On maximal acceleration and quantum acceleratum operator in quantum mechanics

- PhysicsQuantum Studies: Mathematics and Foundations
- 2017

We introduce the notion of quantum acceleratum based on nonlocal-in-time kinetic energy approach and we discuss its implication on quantum mechanics. A modified higher-order Schrodinger equation is…

### On maximal acceleration and quantum acceleratum operator in quantum mechanics

- Physics
- 2018

We introduce the notion of quantum acceleratum based on nonlocal-in-time kinetic energy approach and we discuss its implication on quantum mechanics. A modified higher-order Schrodinger equation is…

### Higher-derivative N=4 superparticle in three-dimensional spacetime

- Physics
- 2014

Using the coset approach (nonlinear realization) we construct component actions for a superparticle in three-dimensional spacetime with N=4 supersymmetry partially broken to N=2. These actions may…

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