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Showing 1 to 7 of 7 for “"relativistic quantum mechanics"”.
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Introduction to lattice gauge theories
… he/she will be familiar with the rudiments of relativistic quantum mechanics. Part II is a review of QCD on the lattice at finite temperature and density. Monte Carlo results and analytical methods are discussed. An attempt has been made to include most relevant data up to the end of 1987, and …
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Investigations on the minimal-length uncertainty relation
We consider a modified non-relativistic quantum mechanics where the position and momentum operators satisfy a non-standard commutation relation of the form [X<sub>i</sub>, P<sub>j</sub>] = 𝑖ℏ({1 + βP²) + β′P<sub>i</sub>P<sub>j</sub>}. Such a theory incorporates an absolute minimal length, UV/IR …
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Quantum transport in graphene heterostructures
… effect of the lattice pseudospin, an analog of a relativistic electron spin, on the scattering properties of mono- and bilayer graphene. We fabricate graphene devices with an extremely narrow local gates, and study ballistic carrier transport through the resulting barrier. By analyzing the …
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Engineering relativistic fermions in condensed matter systems
… is much less than the speed of light, non-relativistic classical mechanics faithfully describes the motion of the particle. Analogously, using wave-particle duality, the non-relativistic description of classical mechanics may be applied to describe the motion of a free electron governed by …
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Geometrical approximation methods for the discrete spectra of Schrödinger operators
… in mathematical physics, which arise from non-relativistic quantum mechanics and the Sturm-Liouville theory. We develop practical techniques to obtain reliable bounds for the eigenvalues of the Schrödinger operator [Special characters omitted.] . We introduce a three-parameter variational …
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Topological insulators and semimetals in the presence of interactions
… exotic gapless excitations that are governed by relativistic quantum mechanics. Due to the growing interests in these phases, the number of the materials predicted and shown to have the topological characters are continuously increasing. Nevertheless, the physical behaviors of the topological …