By Akitomo Tachibana
This booklet provides new elements of quantum electrodynamics (QED), a quantum concept of photons with electrons, from uncomplicated physics to actual chemistry with mathematical rigor. issues lined comprise spin dynamics, chemical reactivity, the twin Cauchy challenge, and extra. Readers drawn to smooth functions of quantum box thought in nano-, bio-, and open platforms will get pleasure from studying how the up to date quantum concept of radiation with topic works on the earth of QED. specifically, chemical principles constrained now to nonrelativistic quantum conception are proven to be unified and prolonged to relativistic quantum box idea that's simple to particle physics and cosmology: consciousness of the new-generation quantum concept. Readers are assumed to have a heritage reminiscent of an undergraduate student's hassle-free wisdom in electromagnetism, quantum mechanics, chemistry, and arithmetic.
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Additional resources for New Aspects of Quantum Electrodynamics
2, Chap. 2. For the sake of simplicity, the primary Rigged QED theory is used for all the numerical calculations of wave functions in this book unless otherwise stated explicitly. The wave functions are twofold: one for the expansion functions of fields and another for the ket vectors (see Chap. 4 in details). Atomic symbol is used to illustrate that the center of the wave function is localized around there. We use preliminary wave packets of electrons and nuclei centered around the atomic symbol.
1. Namely, it does not mean that we are working on the Born– Oppenheimer adiabatic approximation of quantum mechanics. The equations of motion of fields are obtained using standard variation principle. The variation principle is made to be invariant under the Abelian U(1)QED gauge transformation. This is the gauge principle of the Rigged QED theory. The stress tensor of the Rigged QED theory appears in the equation of motion of fields. The Rigged QED theory is gauge invariant and preserves translational and rotational symmetry but violates the Poincare symmetry.
For example, for chiral spin-1/2 fermion with the non-Abelian gauge potential, analogous equation of motion of spin has been found (Tachibana 2010). Another example is the Majorana particle, which is neutral (Tachibana 2013). We have proved that the spin vorticity of electron contributes to the kinetic momentum of electron. It raises a simple but “odd” question: what is momentum of electron spin? How odd this question is should be obvious since electron is considered a point particle, and spin is its internal degree of freedom and then spin is considered to have nothing to do with momentum.