# Anomalous radiative transitions

@article{Ishikawa2014AnomalousRT, title={Anomalous radiative transitions}, author={Kenzo Ishikawa and Toshiki Tajima and Yutaka Tobita}, journal={Progress of Theoretical and Experimental Physics}, year={2014}, volume={2015}, pages={013} }

Anomalous transitions involving photons derived by many-body interaction of the form, @µG µ , in the standard model are studied. This does not affect the equation of motion in the bulk, but makes wave functions modified, and causes the unusual transition characterized by the time-independent probability. In the transition probability at a time-interval T expressed generally in the form P = T 0 + P (d) , now with P (d) 6 0. The diffractive term P (d) has the origin in the overlap of waves of the…

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## References

SHOWING 1-10 OF 118 REFERENCES

The Theory of Positrons

- Physics
- 1949

The problem of the behavior of positrons and electrons in given external potentials, neglecting their mutual interaction, is analyzed by replacing the theory of holes by a reinterpretation of the…

Neutrino Oscillations in Intermediate States. I Plane Waves

- Physics, Mathematics
- 2002

In this series of papers, we discuss neutrino oscillations in the framework of the quantum field theory. Considering the fact that a neutrino can be indirectly detected through collisions, we…

Neutrino Oscillations in Intermediate States. II Wave Packets

- Physics
- 2005

We analyze oscillations of intermediate neutrinos in terms of the scattering of particles described by Gaussian wave packets. We study a scalar model as in a previous paper (I) but in realistic…

Neutrino diffraction induced by many body interaction

- Physics
- 2011

The neutrino produced in the pion decay reveals a new diffraction phenomenon due to many-body interactions in an intermediate time region when wave functions of the parent and daughters overlap.…

Finite-size corrections to Fermi's golden rule: I. Decay rates

- Physics
- 2013

A quantum mechanical wave of a finite size moves like a classical particle and shows a unique decay probability. Because the wave function evolves according to the Schr\"{o}dinger equation, it…

The Quantum Theory of the Emission and Absorption of Radiation

- Physics
- 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…

Generalized S-Matrix in Mixed Representation

- Physics
- 2005

We formulate a generalized scattering amplitude in which the momenta and positions of incoming particles and outgoing particles are specified. Ideal beams and ideal measuring instruments, for which…

When the wavepacket is unnecessary

- Physics
- 1998

We point out that many wavepacket discussions for the coherence properties of particle beams are unnecessary since they deal with stationary sources; and when the problem is stationary, essentially…