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0 votes
0 answers
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$\pi$ phase shift upon reflection in quantum wells

Is there a similar phenomenon to the $\pi$ phase shift experienced by light upon reflection from a medium of lower to higher refracted index for particles in different potentials? For instance, does a ...
TheorVHP's user avatar
1 vote
2 answers
44 views

Are reflection and transmission coefficients in 1D problem are independent of the direction in which we choose as incident?

I was watching a lecture series of Quantum mechanics of Professor V. Balakrishnan, There was a problem session, “For an arbitrary potential barrier (any potential function of position and it need not ...
Vivek Panchal 's user avatar
0 votes
1 answer
77 views

Free particle encountering an infinite potential barrier

I understand that a wave function cannot penetrate through a barrier that has infinite potential. However when the wave function reflects off from the barrier what does this look like? If we're in a ...
selin's user avatar
  • 13
0 votes
0 answers
37 views

Reflections from both edges of a finite well

In section 11.3.1 in Richard Robinnett's Quantum Mechanics book, it says that in the case of transmission resonance ($T=1$), there's complete destructive interference between waves reflected from the ...
EM_1's user avatar
  • 860
0 votes
1 answer
37 views

Why do we suppose that reflected quantum state has the same energy that initial state?

I just read in my lecture notes that the teacher assumed the wave vector $k_+$ of reflected (from potential) state the same (but inverted) as wave vector of initial psi function (that goes to the ...
Aslan Monahov's user avatar
3 votes
1 answer
2k views

Mirror symmetry of spin-1/2 wavefunction: Definition of the reflection operator

I would expect from a reflection operator $\hat{M}$ to leave a wavefunction unchanged if two times applied, thus $\hat{M}^2=1$. However, for a spin-1/2 particle this is not the case when following the ...
Matthiasho's user avatar
1 vote
2 answers
458 views

Confusion about the reflection coefficient when a particle going through a potential

Suppose we have a potential$$ V(x) = \begin{cases} 0, & \text{if $ x \le 0$} \\ V_0 & \text{if $ x \gt 0$ } \end{cases}$$ The reflection coefficient for the case $E \lt V_0$ is $1$, which ...
mathshungry's user avatar
0 votes
1 answer
457 views

Reflection in Finite Square Wells

For a Finite Square Well where we have a wavefunction $\psi(x)$ which is an energy eigenfunction with eigenvalue $E = 2V_0$ in the following potential: $V(x) = \begin{array}{ll} 6V_0 &...
Raptakem's user avatar