Klein-Gordon particles in a quasi-pointlike global monopole spacetime and a Wu-Yang magnetic monopole: invariance and isospectrality
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866929314780413952 |
|---|---|
| author | Mustafa, Omar |
| author_facet | Mustafa, Omar |
| contents | We use two correlated metric functions and transform/deform the pointlike global monopole (PGM) spacetime metric into a quasi-PGM (QPGM) spacetime one. We study Klein-Gordon (KG) particles (manifestly introduced by the non-minimal coupling form of the operator $% \tilde{D}_{μ}=D_{μ}+\mathcal{F}_{μ}$, with $\mathcal{F}_{μ}$ $% \in %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R} %EndExpansion $, and $D_{μ}=\partial _{μ}-ieA_{μ}$) in such QPGM spacetime background. We show that the KG-particles in the QPGM spacetime are isospectral and invariant with KG-particles in the PGM spacetime, provided that the two metric functions are correlated. The Wu-Yang magnetic monopole (WYMM) is also included in the process. We report the effects of both monopoles PGM/QPGM and WYMM on the spectroscopic structure of two models, KG-oscillators and KG-Coulomb particles in such spacetime background. Moreover, we discuss KG-Coulomb particles and shifted KG-oscillators in a PGM spacetime and a WYMM, where such models are manifestly introduced by some Lorentz scalar interaction potentials $S(r)$. The current study is not only of fundamental observability nature but also of pedagogical interest in quantum gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_10122 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Klein-Gordon particles in a quasi-pointlike global monopole spacetime and a Wu-Yang magnetic monopole: invariance and isospectrality Mustafa, Omar General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics We use two correlated metric functions and transform/deform the pointlike global monopole (PGM) spacetime metric into a quasi-PGM (QPGM) spacetime one. We study Klein-Gordon (KG) particles (manifestly introduced by the non-minimal coupling form of the operator $% \tilde{D}_{μ}=D_{μ}+\mathcal{F}_{μ}$, with $\mathcal{F}_{μ}$ $% \in %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R} %EndExpansion $, and $D_{μ}=\partial _{μ}-ieA_{μ}$) in such QPGM spacetime background. We show that the KG-particles in the QPGM spacetime are isospectral and invariant with KG-particles in the PGM spacetime, provided that the two metric functions are correlated. The Wu-Yang magnetic monopole (WYMM) is also included in the process. We report the effects of both monopoles PGM/QPGM and WYMM on the spectroscopic structure of two models, KG-oscillators and KG-Coulomb particles in such spacetime background. Moreover, we discuss KG-Coulomb particles and shifted KG-oscillators in a PGM spacetime and a WYMM, where such models are manifestly introduced by some Lorentz scalar interaction potentials $S(r)$. The current study is not only of fundamental observability nature but also of pedagogical interest in quantum gravity. |
| title | Klein-Gordon particles in a quasi-pointlike global monopole spacetime and a Wu-Yang magnetic monopole: invariance and isospectrality |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2310.10122 |