# Point-Like Defect on Schr\"{o}dinger Particles Confined by AB-Flux Field With Harmonic Oscillator Plus Mie-type Potential : Application to Diatomic Molecules

@inproceedings{Ahmed2022PointLikeDO, title={Point-Like Defect on Schr\"\{o\}dinger Particles Confined by AB-Flux Field With Harmonic Oscillator Plus Mie-type Potential : Application to Diatomic Molecules}, author={Faizuddin Ahmed}, year={2022} }

: In this analysis, we study a non-relativistic Schrodinger particle conﬁned by the Aharonov-Bohm (AB) ﬂux ﬁeld with a harmonic oscillator plus Mie-type potential in a conical singularity space-time background via point-like global monopole (PGM) taking into account the effects of background curvature produced by the geometry. We determine the eigenvalue solution analytically and discuss the effects of the topological defects, the background curvature associated with the topological defects…

## References

SHOWING 1-10 OF 15 REFERENCES

### Special Functions: A Unified Theory Based on Singularities

- Mathematics
- 2000

Preface 1. Linear Second-order ODE with Polynomial Coefficients 2. The Hypergeometric Class of Equations 3. The Heun Class of Equations 4. Application to Physical Sciences 5. The Painleve Class of…

### Mathematical Methods for Physicists

- Mathematics
- 1966

Vector Analysis. Curved Coordinates, Tensors. Determinants and Matrices. Group Theory. Infinite Series. Functions of a Complex Variable I. Functions of a Complex Variable II. Differential Equations.…

### Heun's differential equations

- Mathematics
- 1995

A. HEUN'S EQUATION I: GENERAL AND POWER SERIES II: HYPERGEOMETRIC FUNCTION SERIES B. CONFLUENT HEUN EQUATION C. DOUBLE CONFLUENT HEUN EQUATION D. BICONFLUENT HEUN EQUATION E. TRICONFLUENT HEUN…

### A: Math

- Theor. 36,

### M . F . Manning and N . Rosen

- Phys . Rev .
- 2010

### W . C . F . da Silva , K . Bakke and R . L . L . Vitoria

- Quantum Gravit .
- 2002