# Common Space of Spin and Spacetime

@article{Jin2004CommonSO, title={Common Space of Spin and Spacetime}, author={Wei Min Jin}, journal={Foundations of Physics Letters}, year={2004}, volume={18}, pages={243-258} }

Given Lorentz invariance in Minkowski spacetime, we investigate a common space of spin and spacetime. To obtain a finite spinor representation of the non-compact homogeneous Lorentz group including Lorentz boosts, we introduce an indefinite inner product space (IIPS) with a normalized positive probability. In this IIPS, the common momentum and common variable of a massive fermion turn out to be “doubly strict plus-operators”. Due to this nice property, it is straightforward to show an…

## References

SHOWING 1-10 OF 12 REFERENCES

### Quantization of Dirac fields in static spacetime

- Physics
- 2000

On a static spacetime, the solutions of the Dirac equation are generated by a time-independent Hamiltonian. We study this Hamiltonian and characterize the split into positive and negative energy. We…

### From Time Inversion to Nonlinear QED

- Physics, Mathematics
- 2000

In Minkowski flat space-time, it is perceived that time inversion is unitary rather than antiunitary, with energy being a time vector changing sign under time inversion. The Dirac equation, in the…

### The Landau-Peierls relation and a causal bound in covariant relativistic quantum theory

- Physics
- 1985

Thought experiments analogous to those discussed by Landau and Peierls are studied in the framework of a manifestly covariant relativistic quantum theory. It is shown that momentum and energy can be…

### Indefinite Metric in State Space

- Physics
- 1984

In his Bakerian lecture in 1941 Dirac has suggested that in a relativistic quantum theory, use should be made of a state space with indefinite metric.1 This was a rather revolutionary suggestion,…

### Bakerian Lecture - The physical interpretation of quantum mechanics

- PhysicsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- 1942

Modern developments of atomic theory have required alterations in some of the most fundamental physical ideas. This has resulted in its being usually easier to discover the equations that describe…

### Indefinite Inner Product Spaces

- Mathematics
- 1974

I. Inner Product Spaces without Topology.- 1. Vector Spaces.- 2. Inner Products.- 3. Orthogonality.- 4. Isotropic Vectors.- 5. Maximal Non-degenerate Subspaces.- 6. Maximal Semi-definite Subspaces.-…

### Introduction to the Unified Field Theory of Elementary Particles

- Physics
- 1966

The present book contains a series of lectures which have been given at the University of Munich during the summer term 1965, with the hope to draw the attention of the younger generation of…

### Relativistic Quantum Mechanics

- Physics
- 1965

In this text the authors develop a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per- form a series of calculations designed to illustrate various useful techniques and…