What is a Wave Packet in Quantum Mechanics? (Step by Step)
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In Quantum Mechanics, a particle is best described by the concept of a Wave packet. Now, what is a Wave packet? That is what we will discuss in this video.
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In QM, a wave packet is a fundamental concept used to describe the behavior of particles at the quantum level. It represents a localized and often temporary concentration of a particle’s probability amplitude in a specific region of space.
Imagine a particle, such as an electron, whose behavior is described by a wave function. This wave function is a mathematical expression that characterizes the probability distribution of finding the particle at various positions in space. A wave packet is essentially a wave function that is strongly peaked in a limited spatial region. Wave packets are crucial for understanding the behavior of particles at the quantum level.
00:00 Introduction
02:21 Wave Particle Duality
06:02 Wave packet
15:44 Plane Waves
20:50 Schrodinger’s Equation for Free Particle
27:17 Final Expression of Wave packet
34:21 Physical Interpretation of Wave packet
Source of Simulation of Wavepacket: https://d-arora.github.io/Doing-Physics-With-Matlab/mpDocs/se_fdtdA.htm
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