Quantum Mechanics, Electromagnetics, and Gravitation

In Chapter 1, the Doppler effect due to the relative motion between the source and receiver of electromagnetic wave is investigated. Meanwhile, by exploring quantum properties of the matter wave bound in a moving atom based on the local-ether wave equation, it has been found in Chapter 6 that the energies of quantum states and hence the transition frequency of the atom decrease with its speed by the famous mass-variation factor, where the atom speed is referred uniquely to the local-ether frame. In this Chapter, by taking the Doppler frequency shift for electromagnetic wave in conjunction with the quantum energy variation of matter wave into account, a resonant-absorption condition is presented. Thereby, some phenomena associated with both electromagnetic and matter waves can be accounted for consistently, including the Ives-Stilwell experiment with fast-moving hydrogen atoms, the output frequency from ammonia masers, and the Mossbauer rotor experiment. In the resonant-absorption condition, the major term associated with the laboratory velocity is a dot product of this velocity and the velocity of the emitting or the absorbing atom. It is found that this term appears both in the Doppler frequency shift and in the transition-frequency variation, and then cancels out. Therefore, the consequences can be independent of the laboratory velocity and hence comply with Galilean relativity, in spite of the restriction on the reference frame of the involved velocities. However, by examining the resonant-absorption condition in the Mossbauer rotor experiment to a higher order, it is found that Galilean relativity breaks down.

This Chapter is based on:

C.C. Su, "Resonant absorption between moving atoms due to Doppler frequency shift and quantum energy variation," http://arXiv.org/physics/0208084.

C.C. Su, "Resonance absorption between moving atoms due to Doppler frequency shift and quantum energy variation," in Bull. Am. Phys. Soc., vol. 46, no. 2, p. 99, Apr. 2001.