Effects of Rotating Frame on a Vector Boson Oscillator

Abstract

We analyze the effects of the spacetime topology and angular velocity of rotating frame on the dynamics of a relativistic vector boson oscillator ( ). To determine these effects on the energy of the we solve the corresponding vector boson equation in the rotating frame of 2+1 dimensional cosmic string-induced spacetime background. We obtain an exact energy spectrum, which depends on the angular velocity of the rotating frame and angular deficit parameter of the background. We show that the effects of angular deficit parameter on each energy level of the cannot be same and the angular velocity of the rotating frame couples with the spin of the . Furthermore, we have obtained that the angular velocity of rotating frame breaks the symmetry of the positive-negative energy states.

Effect of internal magnetic flux on a relativistic spin-1 oscillator

“…Recently, relativistic spin-1 oscillator has been introduced by adding non-minimal interaction term into the mentioned relativistic spin-1 equation and results of a few applications were announced [26][27][28]. It is shown that the results are in good agreement with the previously obtained results for the Dirac oscillator systems [29,30]. The other applications of the relativistic spin-1 equations can be found in the Refs.…”

“…where ω o is the oscillator frequency [30]. Also, it is known that internal magnetic flux can be introduced by angular component of the 3-vector potential as A φ = φB 2π .…”

Vector boson oscillator in the near-horizon of the BTZ black hole

“…In appropriate limits, it has been shown that the energy spectra obtained for the vector boson oscillator [14] is exactly same with the energy spectra obtained for a composite system formed by a quark-antiquark pair (strongly bound) holding together through Dirac oscillator coupling [12,30]. Effect of some cosmological topological defects (stationary cosmic strings [35], etc) that were thought to be produced in early stages of the Universe on the vector boson oscillator was investigated and exact solutions were obtained [14,28]. In curved spaces, dynamics of relativistic quantum oscillators was widely studied due to the fact that they have exactly soluble nature, in general.…”

“…Relativistic oscillators [1,8,19], low-energy bound state systems [5,6,[21][22][23] in quantum electrodynamics and "free" test fields [9,17] can be considered among the mentioned quantum mechanical systems. The relativistic oscillators can be categorised as Dirac oscillator [24], Klein-Gordon oscillator [25], Duffin-Kemmer-Petiau oscillator [26] and vector boson oscillator [19,27,28]. The others were introduced by inspiration from the Dirac oscillator.…”

Effects of Gravity’s Rainbow on a Relativistic Spin-1 Oscillator

“…A useful way to determine the influence of a curved space on the physical systems is to use the exactly soluble systems such as the relativistic quantum oscillators [6,[13][14][15][16] and Hydrogen or Positronium like low-energy bound state systems [17][18][19]. After the Dirac oscillator (DO) [20], describing the interaction of a changing (linearly) electric field with an anomalous magnetic moment, had been introduced, the KG oscillator [21], DKP oscillator [22] and VB oscillator [23,24] were introduced through establishing an analogy to the DO. The relativistic oscillators describe real physical systems [25,26] and have several applications [27][28][29][30][31][32][33][34][35] in many areas of modern physics.…”