Physics NotePublished
Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist
Ricardo Kullock; P. G. Castro
Publication details
- Authors
- Ricardo Kullock; P. G. Castro
- Type
- Physics Note
- Status
- Published
- Publication date
- 31/05/2011
- Description
- Nonrelativistic quantum mechanics and conformal quantum mechanics are deformed through a Jordanian twist. The deformed space coordinates satisfy the Snyder noncommutativity. The resulting deformed Hamiltonians are pseudo-Hermitian Hamiltonians of the type discussed by Mostafazadeh.\par The quantization scheme makes use of the so-called ``unfolded formalism" discussed in previous works. A Hopf algebra structure, compatible with the physical interpretation of the coproduct, is introduced for the Universal Enveloping Algebra of a suitably chosen dynamical Lie algebra (the Hamiltonian is contained among its generators).\par The multi-particle sector, uniquely determined by the deformed $2$-particle Hamiltonian, is composed of bosonic particles.
- Year
- 2011
- Number
- CBPF-NF-006/11
- Linked to a thesis
- No
- Linked to a grant
- No