What is the probability of finding a particle in a well of width a at | Physics 2077

Physics20775 marksNumerical: particle in a box probabilitySchrodinger theory of quantum mechanics and its application

What is the probability of finding a particle in a well of width $a$ at a position $\frac{a}{4}$ from the wall if $n=1$ , if $n=2$ , if $n=3$ . Use the normalized wavefunction $\psi(x,t) = \left(\frac{2}{a}\right)^{\frac{1}{2}} \sin\left(\frac{n\pi x}{a}\right) e^{-\frac{iEt}{\hbar}}$ [5]

What is the probability of finding a particle in a well of width $a$ at a position $\frac{a}{4}$ from the wall if $n=1$, if $n=2$, if $n=3$. Use the normalized wavefunction $$\psi(x,t) = \left(\frac{2}{a}\right)^{\frac{1}{2}} \sin\left(\frac{n\pi x}{a}\right) e^{-\frac{iEt}{\hbar}}$$ [5]

Normalized wavefunction: $\psi(x,t) = \left(\dfrac{2}{a}\right)^{1/2} \sin\left(\dfrac{n\pi x}{a}\right) e^{-iEt/\hbar}$ - Well width: $a$ - Position of interest: $x = \dfrac{a}{4}$ - Quantum numbers: $n = 1, 2, 3$ Note on interpretation: The wavefunction gives a probability density $\psi^2$ (p...

Normalized wavefunction: $\psi(x,t) = \left(\dfrac{2}{a}\right)^{1/2} \sin\left(\dfrac{n\pi x}{a}\right) e^{-iEt/\hbar}$ - Well width: $a$ - Position of interest: $x = \dfrac{a}{4}$ - Quantum numbers: $n = 1, 2, 3$ Note on interpretation: The wavefunction gives a probability density $\psi^2$ (p...

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What is the probability of finding a particle in a well of width a at a position fraca4 from the wall if n=1, if n=2, if n=3. Use the normalized wavefunction