All Questions
Tagged with wavefunction potential
291
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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 ...
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How does 1D Schrödinger equation arise out of the postulated 3D Schrödinger equation and solving 1D particle using 3D Schrödinger equation?
I've stumbled upon this question when I was trying to solve the Schrödinger equation for a particle confined to a 1D line with some given time independent potential $V(x)$.
The energy eigenstates ...
- 109
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41
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Reflection of quantum particle colliding with a potential barrier
Let a quantum particle be subject to a one dimensional step potential barrier $V$ such that:
$$V(x)=\begin{cases}0, \ x<0 \\ V_0, \ x>0\end{cases}$$
where the particle's energy is $E>V_0>0$...
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Why is probability outside the infinite square well zero? [duplicate]
In an infinite square well, potential energy is given below, why is the probability of finding a particle in the position of infinite potential energy zero?
$$V(x)=\begin{cases}
0,& \text{if } ...
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Normalizable solutions to the time-independent Schrödinger equation are real [duplicate]
In Griffiths Introduction to Quantum Mechanics (3ed.) problem 2.1, we are asked to prove that the normalizable solutions to the time-independent Schrödinger equation can always be chosen to be real, ...
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Parity of a bound state determined by potential
Some time ago in my QM class, we were working with an infinite well potential, and my professor told us we could know beforehand the bound states we were going to obtain for said potential would have ...
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47
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How do I find the wavefunction equation for a translated potential? [closed]
Let me explain myself. In my case, I know the wavefunction equation of a infinite-U potential which has the form:
$$V(x)=\begin{cases} V_0,\ \ |x|\leq \frac a2\\ \infty, \ \ |x|>\frac a2\end{cases}$...
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Why does the curvature change with respect to the sign of the wave function?
In quantum mechanics, in the context of studying unidimensional potentials, we studied this case of potential
And to analise the possible looks of the wave function $\phi$, we divided in 3 regions, ...
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Boundaries of finite potential well
I'm currently studying the simplest models of potentials in QM, and I've run across an apparent inconsistency in my textbook: when describing a finite potential as a piecewise function, I've noticed ...
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Exactly solvable Schrödinger equations on the circle?
Are there any (famous?) periodic potential functions in 1d, $V(x) = V(x+L)$, so that the Schrödinger equation with periodic boundary conditions $\psi(x)= \psi(x+L)$ is exactly solvable?
I can do it if ...
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Particle in a box - standing wave [closed]
Why can't we consider that a particle in a box is an example of a standing wave?
The ends are fixed by the fact that the potential outside is infinite. The only difference being that it is a de ...
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1
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131
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Solution of $p$-wave time independent Schrödinger equation with a simple negative potential
I'm currently self-studying quantum mechanics and have encountered a challenge regarding higher angular momentum wave functions $\phi(r)$ on whether the corresponding Schrödinger equation has a bound ...
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The derivative of the wave function at the boundary of the wall with potential $U_0$ ($m_1 \neq m_2$) [closed]
In the potential barrier, if a particle in an environment with a potential of $U_1$ hits a potential barrier with $U_2$ and suppose its energy is less than $U_2$.
Now my question is that if the mass ...
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Wavefunctions of quantum point contacts
I have a question about the potential and wave functions of discrete energy levels of quantum point contacts. Assuming one has a rectengular potential well:
Can the potential of the QPC be assumed to ...
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Can the potential $V$ in the TDSE depend on the wavefunction?
I'm working on some derivations for a homework problem and need to verify whether $V$ is an operator dependent on the wavefunction or if $V$ is just some function.
If I have the following [𝛙(r,t)* V𝛙...
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