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quantum theory and the GNS representation theorem, the appearance of unitarily inequivalent representations in QFT (exemplified by the van Hove model), the main assumptions of AQFT andsimple models thereof, thespectrum condition, Reeh–Schlieder theorem, split property, the universaltypeoflocalalgebras,andthetheoryofsuperselection sectors ...
the Quantum Theory" to a wider audience than could attend them when they were originally delivered. Pro fessor Heisenberg's leading place in the development of the new quantum mechanics is well recognized by those who have been following its growth. It was in fact he who first saw clearly that in the older forms of quantum theory
27. Nov. 2001 · Heisenberg's matrix formulation of quantum mechanics can be generalized to relativistic systems by evolving in light-front time tau = t+z/c. The spectrum and wavefunctions of bound states, such as hadrons in quantum chromodynamics, can be obtained from matrix diagonalization of the light-front Hamiltonian on a finite dimensional light-front Fock basis defined using periodic boundary conditions ...
Heisenberg comments that Eq. 11 arbitrarily forces the dependence of the quantum variables on the quantum number n, while this should be a result of the theory. The way he removes the dependence is to take the derivative ∂/∂n on both sides of Eq. 11 in a simplified situation where p = mq˙. In [6], Born and Jordanconsider
25. Mai 2021 · Definition 4.6. A (non-extended) 1-affine Heisenberg-picture quantum field theory over \ (\mathbb K\) is a contravariant symmetric monoidal functor . ♢. Any 0-affine quantum field theory provides an example of a 1-affine quantum field theory, by composing with the Eilenberg–Watts inclusion from Example 4.4.
30. Aug. 2018 · Forth, finally, the algebra of probability is central, at a fundamental, rather than, as in classical physics, merely. practical, level in quantum theory. Heisenberg’s algebraic method and ...
27. März 2024 · Quantum gravity of the Heisenberg algebra. Ahmed Almheiri, Akash Goel, Xu-Yao Hu. We consider a simplified model of double scaled SYK (DSSYK) in which the Hamiltonian is the position operator of the Harmonic oscillator. This model captures the high temperature limit of DSSYK but could also be defined as a quantum theory in its own right.
