An axiomatic deduction of the pauli spinor theory

1977 ◽  
Vol 16 (4) ◽  
pp. 249-257 ◽  
Author(s):  
H. M. Schwartz
Keyword(s):  
Spinor Theory ◽  
Pauli Spinor

scholarly journals A method for assigning the motion precision of meta-action chain based on spinor theory

2021 ◽  
Vol 1820 (1) ◽  
pp. 012168
Author(s):  
Guangqi Ying ◽  
Genbao Zhang ◽  
Yan Ran ◽  
Zongyi Mu
Keyword(s):  
Spinor Theory

scholarly journals Numerical Solution of the Spinor-Spinor Bethe-Salpeter Equation in Functional Nonlinear Spinor Theory

1975 ◽  
Vol 30 (5) ◽  
pp. 656-671
Author(s):  
W. Bauhoff
Keyword(s):  
Angular Momentum ◽  
Excited State ◽  
Variational Method ◽  
Numerical Solution ◽  
High Precision ◽  
Nonlinear Spinor ◽  
Spinor Theory ◽  
First Order ◽  
Scalar Mesons ◽  
Functional Methods

AbstractThe mass eigenvalue equation for mesons in nonlinear spinor theory is derived by functional methods. In second order it leads to a spinorial Bethe-Salpeter equation. This is solved by a variational method with high precision for arbitrary angular momentum. The results for scalar mesons show a shift of the first order results, obtained earlier. The agreement with experiment is improved thereby. An excited state corresponding to the η' is found. A calculation of a Regge trajectory is included,too.

Gauge invariance and massless gauge particles in spinor theory

1971 ◽  
Vol 4 (2) ◽  
pp. 404-420 ◽  
Author(s):  
H. Saller
Keyword(s):  
Gauge Invariance ◽  
Spinor Theory

scholarly journals Spinor Theory of Quadratic Quaternion Forms. II.

1967 ◽  
Vol 70 ◽  
pp. 505-523
Author(s):  
D.C. van Drooge
Keyword(s):  
Spinor Theory

Nucleon-Nucleon Scattering Calculations in a Pole Regularized Spinor Theory

1974 ◽  
Vol 29 (7) ◽  
pp. 981-990
Author(s):  
K. Dammeier
Keyword(s):  
Quantum Theory ◽  
Cross Section ◽  
Test Object ◽  
Nucleon Nucleon ◽  
Coupling Constant ◽  
Nonlinear Spinor ◽  
Spinor Theory ◽  
Order Of Magnitude ◽  
The Right ◽  
Right Order

A pole regularized nonlinear spinor theory may be a suitable test object to compare scattering calculations of Stumpf's functional quantum theory with LSZ-results. To apply the LSZ-technique in this theory, a dressing of the occurring massless Green's function is necessary. It is shown which special approximations allow for this dressing. The renormalized nucleon-nucleon coupling constant yields the right order of magnitude for the elastic nucleon cross section.

On the Functional Definition and Calculation of Global Observables in Nonlinear Spinor Field Quantum Theory

1972 ◽  
Vol 27 (7) ◽  
pp. 1058-1072
Author(s):  
H Stumpf
Keyword(s):  
Quantum Theory ◽  
Spinor Field ◽  
Free Field ◽  
Functional Space ◽  
Nonlinear Spinor ◽  
Spinor Theory ◽  
Spinor Fields

Abstract Nonlinear spinor theory contains unobservable field operators which cannot be identified with free field operators. Therefore for the comparson with experiment a theory of observables for nonlinear spinor fields is required. This theory is developed for global observables by means of a map into functional space, and leads to a functional quantum theory of nonlinear spinor fields

Zur Berechnung der Masse des Fermions in einer nichtlinearen Spinortheorie

1961 ◽  
Vol 16 (3) ◽  
pp. 225-227
Author(s):  
Keyword(s):  
Density Function ◽  
Particle State ◽  
Present Calculation ◽  
Nonlinear Spinor ◽  
Spinor Theory ◽  
Zero Mass ◽  
Contraction Function ◽  
Normal Particle

The contraction function 〈0 | T ψα(x) ψ̅β(x′) |0〉 occurring in the nonlinear spinor-theory of HEISENBERG has been approximated by assuming that the density function ρ (ζ) contains a normal particle state at ζ=ϰ2 and α dipoleghost at ζ= m2. This assumption is slightly more general than that in the original paper where the mass of the dipoleghost was taken as ζ=0. The intention of the present calculation was to see whether the approximaion could be improved in this way and whether a certain inconsistency mentioned in the earlier paper would disappear. The nucleon massvalue xN l is calculated in the lowest approximation of the new TAMM-DANCOFF method. It is shown that only for m2/ϰ2 less than about 0.05 real values of ϰN l are obtained, i. e. the dipoleghost has to be assumed at zero mass or very near to it. The inconsistency of the method mentioned in earlier work still persists.

The mass eigenvalue problem for baryons in the nonlinear spinor theory

1968 ◽  
Vol 54 (3) ◽  
pp. 639-694 ◽  
Author(s):  
H. P. Dürr ◽  
F. Wagner
Keyword(s):  
Eigenvalue Problem ◽  
Nonlinear Spinor ◽  
Spinor Theory

Conformal invariant spinor theory with third-order derivatives

1974 ◽  
Vol 23 (1) ◽  
pp. 1-32 ◽  
Author(s):  
H. P. Dürr ◽  
P. du T. van der Merwe
Keyword(s):  
Conformal Invariant ◽  
Third Order ◽  
Spinor Theory
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