Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-01-22
Found.Phys.37:919-950,2007; Found.Phys.37:1149-1180,2007; Found.Phys.38:99-99,2008
Physics
High Energy Physics
High Energy Physics - Theory
To be published in Foundations of Physics
Scientific paper
10.1007/s10701-007-9133-9 10.100
Relativistic geometrical action for a quantum particle in the superspace is analyzed from theoretical group point of view. To this end an alternative technique of quantization outlined by the authors in a previous work and that is based in the correct interpretation of the square root Hamiltonian, is used. The obtained spectrum of physical states and the Fock construction consist of Squeezed States which correspond to the representations with the lowest weights s=1/4 and s=3/4 with four possible (non-trivial) fractional representations for the group decomposition of the spin structure. From the theory of semi-groups the analytical representation of the radical operator in the superspace is constructed, the conserved currents are computed and a new relativistic wave equation is proposed and explicitly solved for the time dependent case. The relation with the Relativistic Schr\"odinger equation and the Time-dependent Harmonic Oscillator is analyzed and discussed.
No associations
LandOfFree
Non-compact groups, Coherent States, Relativistic Wave equations and the Harmonic Oscillator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Non-compact groups, Coherent States, Relativistic Wave equations and the Harmonic Oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-compact groups, Coherent States, Relativistic Wave equations and the Harmonic Oscillator will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-516294