Implications of Generalized Uncertainty Principle in One-Dimensional Quantum Systems

Recent research by Ying-Jie Zhao explores the implications of the generalized uncertainty principle (GUP) in one-dimensional quantum systems. The paper, titled "One-dimension quantum systems in the framework of the most general deformation GUP form," discusses how GUP can modify the behavior of quantum systems under specific conditions.

The study reviews the GUP's general form, which arises from nonlocal quantum mechanics, and applies it to various one-dimensional potentials, including linear potentials and delta potentials. Key findings include:

• Energy Corrections: The research calculates energy corrections for systems under the influence of GUP, providing insights into how quantum states are affected by this principle.
• Modified Wave Functions: The paper presents modified wave functions that result from applying GUP to one-dimensional systems, which could have implications for quantum state manipulation.
• Stark Effect Investigation: The study also examines the Stark effect on a one-dimensional hydrogen atom, highlighting how GUP alters the atom's response to external electric fields.

These findings could have significant ramifications for quantum mechanics, particularly in understanding the limits of measurement and the fundamental nature of quantum states. The research may influence future studies in quantum computing and quantum information science, where the principles of quantum mechanics are applied to develop new technologies.

For further details, the paper can be accessed at arXiv:1702.03498.