Abstract
We introduce a generalized temporal evolution operator that belongs to a q-deformed Hilbert space. This q-unitary operator is used to revisit a nonlinear form of the Schrödinger equation related to the nonextensive thermostatistical framework through a q-deformed Dirac formalism. We also obtain generalized versions of the density matrix operator, the Liouville-von Neumann equation and the Bloch vector, that can be used in the description of decoherence phenomena. Deformed rotation matrices are used for the problem of the spin 12 precession in a uniform magnetic field.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
