Which of the following statements is NOT true about wave packets and their use in describing particles?

a. A wave packet is fundamentally a region over which a number of waves of different frequencies and amplitudes are added together to form a non-zero result.
b. The movement and travel of a wave packet is governed by the phase velocity.
c. An important property of a wave packet describing a particle is the superposition of many different waves.
d. The particle can be described using Fourier series and a Fourier integral.
e .An important property of a wave packet describing a particle is the localization of wave amplitude.



Answer :

Answer:

b) is not true - the movement and travel of a wave packet is governed by the "group" velocity of the packet not the phase velocity

The movement and travel of a wave packet are governed by the "group" velocity of the packet, not the phase velocity, so option B is not a true statement.

What are wave packets?

A collection of waves with roughly the same momentum is referred to as a wave packet. Localization of particles can be achieved by combining waves into wave packets. The area where the particle is most likely to be discovered is indicated by the wave packet's envelope. This region spreads at the speed of a classical particle.

According to Heisenberg's principle, some uncertainty in the mo­men­tum must be permitted in order to gain some localization of the position of a paragraph. Therefore, you must assume that the initial quantum space wave function is nonzero for at least a brief range of various quantum values. A wave packet is a combination of constituent waves of this kind.

The movement and travel of a wave packet are governed by the "group" velocity of the packet, not the phase velocity.

To know more about wave packets:

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