Noncommutative spacetimes lead to nonlocal quantum field theories (qft’s) where spin-statistics theorems cannot be proved.
spin-electron acoustic waves give the explanation for the high-temperature superconductivity. here
This kinetic theory allows us to obtain the spectrum of the SEAWs including the effects of occupation of quantum states more accurately than the quantum hydrodynamic ... Kinetic analysis for the ion-acoustic, zero sound, and Langmuir waves at the separated spin-up and spin-down electron dynamics is presented as well.
Influence of the exchange interaction on the properties of the spin-electron acoustic waves at the oblique propagation of waves relatively to the external magnetic field in the magnetically ordered metals is studied. The spectra of the Langmuir wave and the Trivelpiece-Gould wave are also considered. It is well-known that there are two branches of spectrum of the spin-electron acoustic waves in this regime. Change their properties under influence of the exchange interaction is studied. The quantum Bohm potential is included either. The exchange interaction and quantum Bohm potential gives opposite contributions, but they do not compensate each other since they have different dependence on the wave vector. This competition creates a non-monotonical behavior of the Trivelpiece-Gould wave spectrum. The concavity changes in the monotonic spectra of the Langmuir wave and the SEAWs are found. here
On a mechanism of high-temperature superconductivity: Spin-electron acoustic wave as a mechanism for the Cooper pair formation
I.e. Josephson Junction.Nobel Laureate Chen-Ning Yang on the lost secret of Maxwell:
Throughout his lifetime, Maxwell always wrote his equations with the vector potential A playing key role. After his death, Heaviside and Hertz gleefully eliminated A. But we know with Quantum Mechanics that A has physical meaning. It cannot be eliminated (E.g., the Aharanov-Bohm experiment).C.N. Yang youtube lecture,
The Aharonov–Bohm effect, sometimes called the Ehrenberg–Siday–Aharonov–If the electric charge through gauge invariance creates an electromagnetic field, wouldn't this isotopic spin also generate a field? And that is the motivation...Bohm effect, is a quantum mechanical phenomenon in which an electrically charged particle is affected by an electromagnetic potential (V, A), despite being confined to a region in which both the magnetic field B and electric field E are zero.
C.N. Yang
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