Consider a particle y(t, x) moving according to 2 -du dx du dt 4(t,0)= 4 (1,1)=0...

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Consider a particle y(t, x) moving according to 2 -du² dx² du dt 4(t,0)= 4 (1,1)=0 4 (0, x ) = ( On (In other words, the partide is uniformly distributed). X= [0,₁] tso • Find (t, x) The probability of observing the energy to be h²p² st time tis Pr₂t = ky, &₂ ³ 1 ² √ √y (t, x) √2 sin (nota) ^(nox)/² Does it depend time ? What is the most likely energy observed? Consider a particle y(t, x) moving according to 2 -du² dx² du dt 4(t,0)= 4 (1,1)=0 4 (0, x ) = ( On (In other words, the partide is uniformly distributed). X= [0,₁] tso • Find (t, x) The probability of observing the energy to be h²p² st time tis Pr₂t = ky, &₂ ³ 1 ² √ √y (t, x) √2 sin (nota) ^(nox)/² Does it depend time ? What is the most likely energy observed?