# Rigid Particle and its Spin Revisited

@article{Pavi2007RigidPA, title={Rigid Particle and its Spin Revisited}, author={Matej Pav{\vs}i{\vc}}, journal={Foundations of Physics}, year={2007}, volume={37}, pages={40-79} }

The arguments by Pandres that the double valued spherical harmonics provide a basis for the irreducible spinor representation of the three dimensional rotation group are further developed and justified. The usual arguments against the inadmissibility of such functions, concerning hermiticity, orthogonality, behaviour under rotations, etc., are all shown to be related to the unsuitable choice of functions representing the states with opposite projections of angular momentum. By a correct choice…

## 7 Citations

### 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…

### A covariant approach to the quantization of a rigid body

- Physics
- 2008

This paper concerns the quantization of a rigid body in the framework of ‘covariant quantum mechanics’ on a curved spacetime with absolute time. We consider the configuration space of n classical…

### A covariant approach to the quantisation of a rigid body

- Physics
- 2005

This paper concerns the quantisation of a rigid body in the framework of ``covariant quantum mechanics'' on a curved spacetime with absolute time.
The basic idea is to consider the…

### A convergence: special relativity, zitterbewegung, and new models for the subcomponent structure of quantum particles

- PhysicsSPIE Optical Engineering + Applications
- 2015

Hestenes has presented an integration of Schrödinger's zitterbewegung with the spin matrices of the Dirac equation, suggesting the electron can be modeled by a rapidly rotating dipole moment and a…

## References

SHOWING 1-10 OF 50 REFERENCES

### Relativistic particle with action that depends on the torsion of the world trajectory

- Physics
- 1991

A generalized Hamiltonian formalism is constructed for a relativistic particle with torsion in a D-dimensional spacetime. The complete set of constraints is found and separated into firstand…

### The Quantization of a Point Particle With Extrinsic Curvature Leads to the Dirac Equation

- Physics
- 1989

### Remark Concerning the Eigenvalues of Orbital Angular Momentum

- Physics
- 1962

That the eigenvalues of the components of orbital angular momentum are integral is most often inferred from the requirement that the Schrodinger representatives of the angular momentum eigenkets…

### Relativistic rigid particles: Classical tachyons and quantum anomalies

- Physics
- 1993

Causal rigid particles whose action includes anarbitrary dependence on the world-line extrinsic curvature are considered. General classes of solutions are constructed, includingcausal tachyonic ones.…

### Single Valuedness of Wave Functions

- Physics
- 1962

The requirement that the quantal wave function be single-valued is examined in the light of two recent developments: The effect of a magnetic vector potential on a particle moving in a multiply…

### Canonical Quantization and Mass Spectrum of Relativistic Particle: Analog of Relativistic String With Rigidity

- Physics
- 1988

The generalized model of relativistic particle is studied. Its action contains the term for a free particle of mass m together with an additional term proportional to the curvature of its world…

### NON-NEWTONIAN MECHANICS

- Physics
- 2002

The classical motion of spinning particles can be described without recourse to particular models or special formalisms, and without employing Grassmann variables or Clifford algebras, but simply by…

### On inert properties of particles in classical theory

- Physics
- 2002

This is a critical review of inert properties of classical relativistic point objects. The objects are classified as Galilean and non-Galilean. Three types of non-Galilean objects are considered:…