Passage regarding vector and scalar waves

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Homework Help Overview

The discussion revolves around the distinction between vector and scalar waves as described in a quantum mechanics context, specifically relating to the behavior of electrons and electric fields.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the definitions of vector and scalar waves, questioning why electric fields are categorized as vector waves while sound waves are considered scalar. Other participants raise inquiries about the nature of electric fields as waves and their relation to light.

Discussion Status

The discussion is exploring various interpretations of wave types and their properties, with participants questioning the foundational concepts without reaching a consensus. Some guidance has been offered regarding the context of electric fields in light waves.

Contextual Notes

Participants are referencing a specific textbook passage and discussing the implications of the definitions provided therein, indicating a focus on the material's interpretation rather than a straightforward resolution.

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Homework Statement



The following is a passage from a quantum mechanics textbook:

"We find empirically that the electron behaves like a simple scalar wave (i.e., not like a vector wave, such as electric field, E, but like asimple acoustic [sound] wave with a scalar amplitude; in acoustics, the scalar amplitude could be the air pressure).

My question is, what is meant by "vector wave" and what makes E such a wave whereas a sound (or plane) wave is a scalar wave? Does E not have a scalar amplitude as well?

Homework Equations


The Attempt at a Solution

 
Physics news on Phys.org
Quantum Mechanics for Scientists and Engineers- D.A.B. Miller, pg. 13
 
My question would be: why would an electric field be a wave at all? Maybe they're thinking of the E field in a light wave.
 

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