Weber functions are special functions that arise in the context of solving certain differential equations, particularly those related to the study of wave propagation and quantum mechanics. They are closely related to the parabolic cylinder functions and are used to express solutions in terms of known functions for practical applications in physics and engineering.
Differential equations are mathematical equations that involve functions and their derivatives, representing physical phenomena and changes in various fields such as physics, engineering, and economics. They are essential for modeling and solving problems where quantities change continuously, providing insights into the behavior and dynamics of complex systems.
Quantum mechanics is a fundamental theory in physics that describes the physical properties of nature at the smallest scales, such as atoms and subatomic particles. It introduces concepts like wave-particle duality, uncertainty principle, and quantum entanglement, which challenge classical intuitions about the behavior of matter and energy.