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uncover some subtle properties. An interesting general issue, not yet investigated, is how the semi-classical limit is modified by a change in the Hilbert space metric. In the coherent state approach to the classical limit, the symplectic 2-form associated to the classical dynamics clearly depends on t
Xiv:0805.0602 [hep-th]]. [20] F. Correa, L. M. Nieto and M. S. Plyushchay, "Hidden nonlinear su(212) superunitary sym- metry of N=2 superextended 1D Dirac delta potential problem," Phys. Lett. B 659 (2008) 746 [arXiv:0707.1393 [hep-th]]. [21] J. L. Cortes, M. S. Plyushchay, "Anyons as spinning particl
ly, in quantum mechanics <https://en.wikipedia.org/wiki/Quantum_mechanics> a state space is a complex <https://en.wikipedia.org/wiki/Complex_number> Hilbert space chttps://en.wikipedia.org/wiki/Hilbert_space> in which the possible instantaneous states of the system may be described by unit vectors <http
be described by unit vectors <https://en.wikipedia.org/wiki/Unit_vector> . These state vectors <https://en.wikipedia.org/wiki/Quantum_state>, using Dirac's <https://en.wikipedia.org/wiki/Paul_Dirac> bra—ket notation <https://en.wikipedia.org/wiki/Bra%E2%80%93ket_notation> , can often be treated like c
return to the university and find that they are required to learn at the feet of a woman?" In a retort that eternally reinforced my admiration for Hilbert, beyond that for his remarkable talent as a mathematician, he replied, 1 do not see that the sex of the candidate is an argument against her ad- mi
Heisenberg, the next step in unveiling the quantum craziness of reality was taken by an unlikely explorer, Paul Adrien Maurice Dirac. In one sense, Dirac was the perfect man for the job. As Einstein is re- puted to have later said of him, "This balancing on the dizzying path between genius and madness
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