Potential well Definition and 218 Threads

  1. U

    What the heck is a Potential Well?

    Hi, I'm reading my semiconductors book and I have NO idea about what this is. I don't really understand what a potential well is. They say that it can form new devices, but never says how. Wikipedia isn't helping either. Anyone care to jump in?
  2. P

    Ground and Excited States in a Potential Well (QM)

    Here's the problem: http://www.phys.washington.edu/users/karch/324/2007/hw3.pdf Just the first one. Okay, so my understanding is that the first state of Psi (ground state) is just an arc, like a Gaussian distribution, starting from 0 at E0 and finishing at 5a also at the level of E0...
  3. D

    Solving 1D Quantum Potential Well Problem

    Hi I'm trying to solve a one-dimensional quantum well problem. The problem itself is probably (or: hopefully) not too hard to solve, but I'm having a difficult time to understand how the given potential actually works. The incident particles is coming from the left, and the potential well...
  4. T

    What is an Infinite Potential Well?

    Hi I am just found this forum and I was wondering if anyone could help me find out what exactly is a Infinite Potential Well. I am just trying to understand what exactly a Infinite Potential Well is as well as what all the equations are really solving for. Sorry if this has been posted before I...
  5. V

    Help particel in spherical delta potential well

    Homework Statement A particle with mass M is moving in a spherical delta-potential well, V(r)=-Vo*delta(r-a); Vo>0, a>0 Find the minimum Vo value so that there is at least 1 bounded eigenstate for the particle. Homework Equations looking through my quantum book (griffiths of course)...
  6. U

    How Does the Uncertainty Principle Relate to Energy in a V-Shaped Potential?

    Homework Statement Consider a particle of mass m in a vee-shaped potential whose analytic form is V(x)= -bx (x<=0) V(x)= bx (x>=0) Use what is known about the uncertainty principle and the simple harmonic oscillator to show that the lowest state energy is ((hbar)^2(b)^2/m)^(1/3). Show...
  7. R

    One-dimensional potential well problem

    My head's melting right now, because I've been stuck on this for the past 6 hours. There's a particle of mass moving in a potential well where V(x) = infinity at x<0 V(X)=0, 0<x<a V(x)= Vo, x>a Vo>0 E<Vo I'm assuming that the wavefunction at x<0 is 0, since there's an infinite...
  8. Y

    The Potential Well In Quantum Mechanics

    My calculations always come out all right, but I still feel that I need help conceptualizing the potential well. 1.What does the width(or length) of the well represent? 2.What does the depth of the well represent? Sincerely appreciative, Yonderboy
  9. S

    What are the energy levels and wavefunctions of a 3D SHO potential well?

    We have a particle moving in a 3-D potential well V=1/2*m*(omega^2)*(r^2). we use separation of variables in cartesian coords to show that the energy levels are: E(Nx,Ny,Nz)=hbar*omega(3/2 + Nx + Ny + Nz) where Nx,Ny,Nz are integers greater than or equal to 1. Therefore we can say that...
  10. J

    Particle in an infinite potential well

    Hi all, I have an exam tomorrow and this problem concerns me greatly. An electron is located in an infinitely deep one-dimensional square potential well. The width of the well is 1.00 nm. (e) Light is shone on the electron causing it to jump from the ground state to the n = 3 state...
  11. A

    Why Wave Function Extends in Finite Potential Well

    I need to explain why, as the energy of a bound state in a finite potential well increases, the wave function extends more outside of the well. I need to do this from both a mathematical and a physical point of view. I think I know the mathematical explanation (see attached image). Can anyone...
  12. E

    Is the Potential in a Particle's Potential Well Always Real?

    let be a particle in a potential well with mass m=1/2 so we have the equation: (p^{2}+V(x))\phi=E_{n}\phi we don,t know if V is real or complex but we have that if En is an energy,its complex conjugate En^*=Ek is also another energy of the system,my question is if the potential is real...
  13. C

    How Does a Perturbation Affect Energy Levels in an Infinite Potential Well?

    Sorry for all the questions - I tend to save them till I'm done with assignments: Here's the question: Consider a particle of mass 'm' in a one-dimensional infinite potential well of width 'a' V (x) = \left\{\begin{array}{c} 0 \ \ \ if \ \ \ 0 \leq x \leq a \\ \infty \ \ \ otherwise...
  14. I

    How Wide is the Potential Well When an Electron Emits a Photon?

    hey guys i am kinda stumped on this problem, if anyone can give me a helping hand, it's be much appreciated, thanks! An electron is trapped in a one-dimensional infinite potential of width L. As the electron falls from the n=3 to the n=2 eigenstate, it emits a photon with a wavelength of...
  15. F

    What is the uncertainty of an electron's momentum in an infinite potential well?

    At t=0 an electron in an infinite potential well has a wave function corresponding to the lowest level of energy. The wave function is equal to the eigenfunction of the Hamiltonian where n=1. I am asked to calculate the uncertainty of the electron's momentum. I don't really know where to...
  16. A

    Infinite-Finite Potential Well

    I need help with this question. I'm not sure exactly what it wants (what does it mean by bound state) and how should I start the problem? Here it is: Consider a particle of mass m moving in the following potential:\infty for x \leq 0-V_0 for 0 < x \leq a \ (V_0 > 0)0 for x > aCalculate the...
  17. Y

    Particle in a potential well Gre. 93

    What concepts are involved here? 93. A particle of mass m moves in the potential shown here. The period of the motion when the particle has energy E is The potential is V = 1/2kx^2 for x <0 and V= mgx for x > 0. A. Sqrt[k/m] B. 2*pi*Sqrt[m/k] c . 2*Sqrt[2E/(mg^2)] D. pi*Sqrt[m/k] +...
  18. T

    Time is slower deep down in a potential well

    1) If you lift a clock to a greater height, you have to do work on it - the work done appears as gravitational energy stored in the clock; This shows up in the guise of extra tick-tock energy, as a result of which the clock ticks a bit faster. ------- 2) Time is slower deep down in a...
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