WebThe Lorentz current ) can ... The specific Clifford algebra employed in the Dirac equation is known today as the Dirac algebra. ... Thus, the Schrödinger equation may be seen as the far non-relativistic approximation of the Dirac equation when one may neglect spin and work only at low energies and velocities. Webform u(l)-and su(2)-current algebras. Combining results of the representation theory of current algebrawith somebasic physical properties of these systems, we derive the quantization of the response coefficients (the Hall conductivity for the electric-and for thespin current and themagnetic susceptibility). Manyexamples are given illustrating ...

Lie algebras of local currents and their representations

The original current algebra, proposed in 1964 by Murray Gell-Mann, described weak and electromagnetic currents of the strongly interacting particles, hadrons, leading to the Adler–Weisberger formula and other important physical results. The basic concept, in the era just preceding quantum chromodynamics, was that even without knowing the Lagrangian governing hadron dynamics in detail, exact kinematical information – the local symmetry – could still be en… WebJan 23, 2024 · The process algebra model has been suggested as an alternative mathematical framework for non-relativistic quantum mechanics (NRQM). It appears to reproduce the wave functions of non-relativistic quantum mechanics to a high degree of accuracy. It posits a fundamental level of finite, discrete events upon which the usual … cheshire academy school calendar

Non-relativistic current algebra in the N/V limit - osti.gov

WebJan 20, 2006 · The Fock space, the non-relativistic quantum current algebra symmetry and its cyclic representations on separable Hilbert spaces are reviewed and described in detail. The unitary current algebra ... Webtains one copy of a Virasoro together with an SO(d) current algebra (on adding the appropriate central extension). Interestingly, aninfinite extension forthe Schro¨dinger algebra has also been known for a long time [7], but has not been much exploited in the context of the non-relativistic limit of the AdS/CFT duality. See however [16] WebThe implications of the relativistic Ward identities in the non-relativistic limit are discussed. A new non-abelian type of current in the Pauli - Schrödinger theory is obtained. As we show, this is essential for the closure of the algebra among the usual currents. … cheshire academy staff directory