The Wave Function - Part 1


q

Waves can be added. When this happens, a new wave is formed which
 can be described by the equation

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Proof

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Example

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Does it matter which value is used for a and b ?

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Example

(Using the same example from above)

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Mixing up the values of a and b affects the phase angle.

a is always with cosα
b is always with sinα

 

The difference of two waves

 

            Subtracting waves

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Example

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Expressing waves in the form
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Example

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Expressing waves in the form
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Example

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Expressing waves in the form
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Example

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Multiple Angles

Just exactly the same process, but remember the multiple angle !

Example

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Continue to part 2

 

© Alexander Forrest