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Quantum Mechanics 1 Guaranteed A+

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Quantum Mechanics 1 Guaranteed A+ Review of Properties of a Free Particle (3) 1. Energy is not quantized! 2. They cannot have definite energy! 3. It is always described by a wave packet! 4. wave packet always spreads with time! (just like in classical physics) wave packet a group of super...

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  • October 11, 2024
  • 3
  • 2024/2025
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Quantum Mechanics 1 Guaranteed A+

Review of Properties of a Free Particle (3)

1. Energy is not quantized! 2. They cannot have definite energy! 3. It is always described by a wave
packet! 4. wave packet always spreads with time! (just like in classical physics)

wave packet

a group of superposed waves that together form a traveling localized disturbance, especially one
described by Schrödinger's equation and regarded as representing a particle




annihilation operator

'lowing operator';

something operator

'raising operator';

"the wave packet always spreads with time"--why?

you have a superposition of different momenta, different momenta move with different speeds, and
this gives a distortion of the wave packet as it moves with time

variance, standard deviation related to expectation value (mean)

...and standard deviation is the square root of the variance




momentum operator

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