Quantum Mechanics and Electrons: The Dual Nature of Electrons as Particles and Waves

Quantum mechanics, as a fundamental theory describing the microscopic world, has driven a revolution in physics over the past century. The wave-particle duality of electrons, as one of the core features of quantum mechanics, challenges the traditional understanding of matter in classical physics. Through wave-particle duality, electrons exhibit wave-like behavior in certain experiments and particle-like properties in others. This paper explores key concepts of quantum mechanics, such as the wave function and the Schrödinger equation, and verifies the wave and particle nature of electrons through experiments such as the double-slit experiment and Compton scattering. In addition, this paper discusses the integration of quantum field theory and quantum mechanics, emphasizing the profound impact of electron duality on modern physics and quantum technology. With the continuous development of quantum technology, the duality of electrons not only provides a theoretical foundation for fields such as quantum computing and quantum communication but also offers new directions for technological innovation in the future.