The Schrodinger equation is effectively the classical wave equation recast to account for matter waves by...

The Schrodinger equation is effectively the classical wave equation recast to account for matter waves by using the deBroglie relation. The simplest possible application of the Schrodinger equation is the so-called free particle system where potential energy, V(x)=0.
a) Show that plane waves, such as , are solutions (k is the wavevector).
b) Use your solution above to find the energy of a free particle.
c) What values are possible for position, x, and momentum, p.

Expert Solution

Plane wave solution of Schrondinger euation for free article are not a physically acceptable solution because plane wave is spread out in whole space.

Physically acceptable solution of Schrondinger euation for free article is best represented by wave packet which is a linear superposition of plane waves.

genius_generous answered 1 year ago

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