Three-dimensional wormhole with cosmic string effects on eigenvalue solution of non-relativistic quantum particles

Area of Science:

• Quantum mechanics
• General relativity
• Cosmology

Background:

• Study examines non-relativistic quantum systems within exotic spacetime geometries.
• Focuses on a specific scenario: a 3D, static, circularly symmetric wormhole coupled with cosmic strings.
• Considers a simplified wormhole model with a zero redshift function and a defined shape function.

Purpose of the Study:

• To analyze the behavior of a quantum harmonic oscillator in the described wormhole spacetime.
• To investigate the influence of cosmic strings and wormhole throat radius on quantum system properties.
• To determine how these cosmic features affect the energy spectrum and wave functions.

Main Methods:

• Formulating the quantum system within the specified wormhole spacetime.
• Solving the eigenvalue problem for the harmonic oscillator in this background.
• Analyzing the resulting energy levels and wave functions.

Main Results:

• Cosmic strings and wormhole radius significantly modify the harmonic oscillator's energy spectrum.
• The presence of these cosmic features leads to a breaking of energy level degeneracy.
• Specific ground state energy level and wave function are derived and presented.

Conclusions:

• The quantum harmonic oscillator exhibits unique properties in the presence of wormholes and cosmic strings.
• Exotic spacetime topologies demonstrably alter fundamental quantum mechanical behaviors.
• This research provides insights into quantum phenomena in non-standard cosmological models.