Physics – Quantum Physics
Scientific paper
2011-10-11
Phys. Rev. A 85, 042110 (2012)
Physics
Quantum Physics
16 pages, no figures; v2: 21 pages, clarifications and references added; v3: minor modification, to appear in Phys. Rev. A
Scientific paper
10.1103/PhysRevA.85.042110
By adding an imaginary interacting term proportional to ip_1p_2 to the Hamiltonian of a free anisotropic planar oscillator, we construct a new model which is described by the PT-pseudo-Hermitian Hamiltonian with the permutation symmetry of two dimensions. We prove that our model is equivalent to the Pais-Uhlenbeck oscillator and thus establish a relationship between our PT-pseudo-Hermitian system and the fourth-order derivative oscillator model. We also point out the spontaneous breaking of permutation symmetry which plays a crucial role in giving a real spectrum free of interchange of positive and negative energy levels in our model. Moreover, we find that the permutation symmetry of two dimensions in our Hamiltonian corresponds to the identity (not in magnitude but in attribute) of two different frequencies in the Pais-Uhlenbeck oscillator, and reveal that the unequal-frequency condition imposed as a prerequisite upon the Pais-Uhlenbeck oscillator can reasonably be explained as the spontaneous breaking of this identity.
Li Jun-Qing
Miao Yan-Gang
No associations
LandOfFree
Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics 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 Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spontaneous breaking of permutation symmetry in pseudo-Hermitian quantum mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-471741