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. 

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References

SHOWING 1-10 OF 30 REFERENCES
Group theory of covariant harmonic oscillators
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 waveExpand
Physical basis for minimal time-energy uncertainty relation
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 theExpand
Model for relativistic bound-state perturbation theory
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
  • Young S. Kim, M. Noz, S. H. Oh
  • 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 theExpand
Dynamics at Infinite Momentum
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 theExpand
Covariant harmonic oscillators and the parton picture
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
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 theoryExpand
Reconstruction of Non-Local Field Theory. I : Causal Description
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 theExpand
Current matrix elements from a relativistic quark model
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. ElementsExpand
Asymptotic freedom in deep inelastic processes in the leading order and beyond
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. BothExpand
...
1
2
3
...