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- D K Park, S N Tamaryan, H J W Müller, Kirsten, Jian-Zu Zhang
- 2000

Standard methods of nonlinear dynamics are used to investigate the stability of particles, branes and D-branes of abelian Born–Infeld theory. In particular the equation of small fluctuations about the D–brane is derived and converted into a modified Mathieu equation and – complementing earlier low–energy investigations in the case of the dilaton–axion… (More)

The possibility of testing spatial noncommutativity via Rydberg atoms is explored. An atomic di-pole of a cold Rydberg atom is arranged in appropriate electric and magnetic fields, so that the motion of the dipole is constrained to be planar and rotationally symmetric. Spatial noncommutativity leads the canonical angular momentum to possess fractional… (More)

- Jian-Zu Zhang, P Osland
- 2001

Within the framework of the q-deformed Heisenberg algebra a dynamical equation of q-deformed quantum mechanics is discussed. The perturbative aspects of the q-deformed Schrödinger equation are analyzed. General representations of the additional momentum-dependent interaction originating from the q-deformed effects are presented in two approaches. As… (More)

- Jian-Zu Zhang
- 2005

In two-dimensional noncommutive space for the case of both position-position and momentum-momentum noncommuting, the constraint between noncommuta-tive parameters on the quantum gravitational well is investigated. The related topic of guaranteeing Bose-Einstein statistics in the general case are elucidated: Bose-Einstein statistics is guaranteed by the… (More)

- Jian-Zu Zhang, Chuan-Gang Ning
- 2009

The possibility of testing spatial noncommutativity by current experiments on normal quantum scales is investigated. For the case of both position-position and momentum-momentum noncommuting spectra of ions in crossed electric and magnetic fields are studied in the formalism of noncommutative quantum mechanics. In a limit of the kinetic energy approaching… (More)

- Jian-Zu Zhang
- 2009

In two-dimensional noncommutive space for the case of both position-position and momentum-momentum noncommuting, the consistent deformed bosonic algebra at the non-perturbation level described by the deformed annihilation and creation operators is investigated. A general relation between noncommutative parameters is fixed from the consistency of the… (More)

- Jian-Zu Zhang
- 2009

An induced fractional zero-point angular momentum of charged particles by the Bohm-Aharonov (B-A) vector potential is realized via a modified combined trap. It explores a " spectator " mechanism in this type of quantum effects: In the limit of the kinetic energy approaching one of its eigenvalues the B-A vector potential alone cannot induce a fractional… (More)

- Jian-Zu Zhang
- 2009

Noncommutative Chern-Simons' system is non-perturbatively investigated at a full deformed level. A deformed " commutative " phase space is found by a non-canonical change between two sets of deformed variables of noncommutative space. It is explored that in the " commutative " phase space all calculations are similar to the case in commutative space.… (More)

- Jian-Zu Zhang
- 2008

The possibility of quantum transmission of information via the induced fractional angular momentum by the Aharonov-Bohm vector potential is revealed. Its special advantage is that it is noiseless: Stray magnetic fields of environments influence the energy spectrum of the ion, but cannot contribute the fractional angular momentum to cause noise. Quantum… (More)

- Jian-zu Zhang
- 2004

Recent studies on non-perturbation aspects of noncommutative quantum mechanics explored a new type of boson commutation relations at the deformed level, described by deformed annihilation-creation operators in noncommutative space. This correlated boson commutator correlates different degrees of freedom, and shows an essential influence on dynamics. This… (More)