# Physical principles in quantum field theory and in covariant harmonic oscillator formalism

@article{Han1981PhysicalPI, title={Physical principles in quantum field theory and in covariant harmonic oscillator formalism}, author={D. Han and Y. Kim and M. Noz}, journal={Foundations of Physics}, year={1981}, volume={11}, pages={895-905} }

It is shown that both covariant harmonic oscillator formalism and quantum field theory are based on common physical principles which include Poincaré covariance, Heisenberg's space-momentum uncertainty relation, and Dirac's “C-number” time-energy uncertainty relation. It is shown in particular that the oscillator wave functions are derivable from the physical principles which are used in the derivation of the Klein-Nishina formula.

#### Figures from this paper

#### 11 Citations

Integration of Dirac's Efforts to Construct a Quantum Mechanics Which is Lorentz-Covariant

- Computer Science, Physics
- Symmetry
- 2020

It is proven possible to contract the O(3,2) de Sitter group to the inhomogeneous Lorentz group with ten generators, which constitute the fundamental symmetry of quantum mechanics in Einstein’s LorentZ-covariant world. Expand

Integration of Dirac's Efforts to construct Lorentz-covariant Quantum Mechanics

- Physics
- 2020

The lifelong efforts of Paul A. M. Dirac were to construct localized quantum systems in the Lorentz covariant world. In 1927, he noted that the time-energy uncertainty should be included in the… Expand

Standing Waves in the Lorentz-Covariant World

- Physics
- 2005

When Einstein formulated his special relativity, he developed his dynamics for point particles. Of course, many valiant efforts have been made to extend his relativity to rigid bodies, but this… Expand

Time‐energy uncertainty relation and Lorentz covariance

- Physics
- 1985

The uncertainty relations applicable to space and time separations between the quarks in a hadron are discussed. It is pointed out that the time‐energy uncertainty relation between the time and… Expand

Uncertainty relations for light waves and the concept of photons.

- Physics, Medicine
- Physical review. A, General physics
- 1987

It is shown that the time-energy uncertainty relation (Δt)(Δω)≃l for light waves is a Lorentz-invariant relation and it is therefore possible to construct a wave function for light Waves carrying a covariant probability interpretation. Expand

Physics of the Lorentz Group

- Physics
- 2015

This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz… Expand

Entropy and Temperature from Entangled Space and Time

- Physics, Mathematics
- 2014

Two coupled oscillators provide a mathematical instrument for solving many problems in modern physics, including squeezed states of light and Lorentz transformations of quantum bound states. The… Expand

Kant and Hegel in Physics

- Physics
- 2020

Kant and Hegel are among the philosophers who are guiding the way in which we reason these days. It is thus of interest to see how physical theories have been developed along the line of Kant and… Expand

Kant and Hegel in Physics

- Physics
- 2020

Kant and Hegel are among the philosophers who are guiding the way in which we reason these days. It is thus of interest to see how physical theories have been developed along the line of Kant and… Expand

Kant and Hegel in Physics

- 2020

Kant and Hegel are among the philosophers who are guiding the way in which we reason these days. It is thus of interest to see how physical theories have been developed along the line of Kant and… Expand

#### References

SHOWING 1-10 OF 30 REFERENCES

Group theory of covariant harmonic oscillators

- Physics
- 1978

A simple and concrete example for illustrating the properties of noncompact groups is presented. This example is based on the covariant harmonic‐oscillator formalism in which the relativistic wave… Expand

Physical basis for minimal time-energy uncertainty relation

- Mathematics
- 1979

A physical basis for the minimal time-energy uncertainty relation is formulated from basic high-energy hadronic properties such as the resonance mass spectrum, the form factor behavior, and the… Expand

Model for relativistic bound-state perturbation theory

- Physics
- 1976

A model for relativistic bound-state perturbation theory is presented. For the bound-state wave function needed in the perturbation formula, the covariant-harmonic-oscillator wave function is used.… Expand

Representations of the Poincaré group for relativistic extended hadrons

- Physics
- 1979

Representations of the Poincare group are constructed from the relativistic harmonic oscillator wave functions which have been effective in describing the physics of internal quark motions in the… Expand

Dynamics at Infinite Momentum

- Physics
- 1966

Old-fashioned perturbation theory is applied to a relativistic theory in a reference frame with infinite total momentum. It is found that many undesirable diagrams disappear. The contribution of the… Expand

Covariant harmonic oscillators and the parton picture

- Physics
- 1977

It is shown that the covariant-harmonic-oscillator wave function exhibits the peculiarities of the Feynman parton picture in the infinite-momentum frame.

The Quantum Theory of the Emission and Absorption of Radiation

- Mathematics
- 1927

The new quantum theory, based on the assumption that the dynamical variables do not obey the commutative law of multiplication, has by now been developed sufficiently to form a fairly complete theory… Expand

Reconstruction of Non-Local Field Theory. I : Causal Description

- Physics
- 1973

An attempt is made successfully to refine the non-local field theory in a manifestiy causal and covariant way. The motion of the non-local system as a whole is described on the viewpoint of the… Expand

Current matrix elements from a relativistic quark model

- Physics
- 1971

A relativistic equation to represent the symmetric quark model of hadrons with harmonic interaction is used to define and calculate matrix elements of vector and axial-vector currents. Elements… Expand

Asymptotic freedom in deep inelastic processes in the leading order and beyond

- Physics
- 1980

The present status of quantum chromodynamics formalism for inclusive deep-inelastic scattering is reviewed. Leading-order and higher-order asymptotic freedom corrections are discussed in detail. Both… Expand