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serverxeon
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In particular, i am solving part b.
I pulled off a couple of formulas from a textbook, but I'm quite sure they are incorrect to apply here.
Can anyone guide me?
Below is my attempt.
A Gaussian wave packet is a type of wave function that describes a particle or wave in quantum mechanics. It is characterized by a bell-shaped curve, with a peak at the center and a gradual decrease in amplitude towards the edges.
The wave function of a Gaussian wave packet can be found by using the Gaussian wave function formula, which includes parameters such as the peak position, width, and momentum of the wave packet. These parameters can be determined experimentally or through mathematical calculations.
The Gaussian wave packet is an important tool in quantum mechanics as it allows for the description of a particle or wave in both position and momentum space. It also provides a mathematical representation of the uncertainty principle, which states that the more precisely we know a particle's position, the less we know about its momentum.
The wave function of a Gaussian wave packet will spread out over time, becoming wider and flatter. This is due to the uncertainty principle, as the more precise we know a particle's position at a certain time, the less precise we know its momentum. Therefore, the wave function will evolve over time to reflect this uncertainty.
No, a Gaussian wave packet is specifically used in quantum mechanics to describe particles or waves on a quantum scale. It cannot be used to describe macroscopic objects or classical waves, as these follow different physical laws and principles.