Free particle
In this video, we examine the concept of a Free Particle in quantum mechanics, a particle that moves without any external forces or potential constraints. Understanding free particles provides insight into the behavior of quantum systems in unbound or infinite spaces.
🔹 Introduction to the Free Particle: We define a free particle as one with no potential energy, meaning it moves freely without confinement, unlike particles in a box or bound states.
🔹 Schrödinger’s Equation for a Free Particle: Learn how solving the time-independent Schrödinger equation for a free particle results in wave functions that represent a continuous range of possible momenta and energies, rather than discrete, quantized values.
🔹 Wave Function and Momentum States: We discuss the form of the free particle’s wave function, which is a plane wave with undefined position but well-defined momentum, showing the particle’s delocalized nature.
🔹 Energy Eigenvalues: Understand that energy is not quantized for a free particle, and the energy eigenvalues are directly related to the particle’s momentum.
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