The Heisenberg uncertainty principle demonstrate the symmetry between the particles position and momentum. This can further be extended to the particles probability amplitudes in position (x, t) and momentum (p, t). If 4(x, t) = √2 dp (p, t)e ³x is the Fourier expansion of the probability amplitude for (p,t) = x (x, t)e-³x is its Fourier transform, prove that = + (p, t)| ²dp. position and √√2h +x (x, t) |² dx = +00 -+∞0

icon
Related questions
Question
The Heisenberg uncertainty principle demonstrate the symmetry between the particles
position and momentum. This can further be extended to the particles probability
amplitudes in position (x, t) and momentum (p, t). If 4(x, t) =
dp (p, t)ex is the Fourier expansion of the probability amplitude for
(p, t) = x (x, t)ex is its Fourier transform, prove that
√27th
+x
+(x, t) |² dx = = + (p, t)| ²dp.
position and
Transcribed Image Text:The Heisenberg uncertainty principle demonstrate the symmetry between the particles position and momentum. This can further be extended to the particles probability amplitudes in position (x, t) and momentum (p, t). If 4(x, t) = dp (p, t)ex is the Fourier expansion of the probability amplitude for (p, t) = x (x, t)ex is its Fourier transform, prove that √27th +x +(x, t) |² dx = = + (p, t)| ²dp. position and
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions