Potential barrier Definition and 77 Threads

Homework Statement In delta potential barrier problem Schrodinger equation we get \psi(x)=Ae^{kx}, x<0 \psi(x)=Ae^{-kx}, x>0 We must get solution of lim_{\epsilon \rightarrow 0} \int^{\epsilon}_{-\epsilon}\frac{d^2\psi}{dx^2}dx Homework Equations The Attempt at a Solution lim_{\epsilon...

Homework Statement A beam of particles, each of mass m and kinetic energy E, is incident on a potential barrier V(x) = V_0 \; \; for \; \; 0 \leq x \leq a \; \; \; \; \; \; \; \; \; = 0 \; \; for \; \; x < 0 \; \; and \; \; x > a E = V_0 \; \mbox{is the special case} The part...

Electron beam with kinetic energy E_{k} = 10 eV strikes a positive potential barrier V_{0} and the kinetic energy after the beam has passed through the barrier is E_{k} = (10 eV -V_{0}). How big potential V_{0} is needed so that 40% of the electron beam is going to be reflected? What...

Homework Statement In a particular atom, an alpha particle makes N collisions with a potential barrier in each second. The transmission coefficient at the barrier is 1.0e-15. In one second, 2.0e18 alpha particles are emitted from a group of 3.0e23 radioactive atoms. Find N. Homework...

Barrier potential, E> V0 V(X) = 0 ( x < 0 ) = V0 ( 0 < x < a ) = 0 ( x> a ) Psi(x)1 = Aexp[ik1x] + B exp[-ik1x] Psi(x)2 = Cexp[ik2x] + D exp[-ik2x] Psi(x)3 = Fexp[ik1x] + G exp[-ik1x] ( K3= K1 so I put k1 ) and G = 0 because there is no reflection, I used B.C...

If you have a rectangular square potential barrier of some height, say \lambda/L, and thickness L, what is the transmission coefficient and what is its value in the limit that L goes to 0? Thus you have the height of the barrier going to infinity, while the width goes to zero... Assuming...

Homework Statement To calculate the height of the potential barrier for a head on collision between two deuterons given that each deuteron is a sphere of radius R Homework Equations Potential of the first deuteron at a distance of 2R from it =V = ke/2R where k = 9 * 10^9 , e= 1.6 *...

Homework Statement I am trying to find the coefficients in a Schrodinger equation approaching a finite potential. https://www.physicsforums.com/showthread.php?t=203385 It is a problem similar to this, except a little easier. In my case, though, there is no V1 as shown in the picture at the...

HI,all This is rajasekhar , Please guide me how to solve below problem. An electron moves in a one-dimensional potential of width 8 angstroms and depth 12eV then how to found number of bound states present? Thanks&Regaurds

HI,all This is rajasekhar , Please guide me how to solve below problem. An electron moves in a one-dimensional potential of width 8 angstroms and depth 12eV then how to found number of bound states present? Thanks&Regaurds

Homework Statement Find the transmission and reflection coefficients for: V(x)=\left\{\begin{matrix} V_0, & -a\leq x\leq a\\ 0, & elsewhere \end{matrix}\right. Homework Equations \frac{-\hbar^2}{2m}\frac{\partial^2 }{\partial x^2}\psi+V\psi=E\psi The Attempt at a Solution I...

How can we create a potential barrier? And how does it exactly acts as barrier in electron transfer?

Homework Statement An electron approaches a potential barrier 10 eV high and 0.5 nm wide. If the electron has a 1% chance of tunnelling through, what must be its energy? Homework Equations don't know how to put equations in eg how do i get something like alpha and theta etc...

Homework Statement write the solutions to the S.E in regions x<o and x between o and a C:\Users\karthik\Desktop Homework Equations I believe psi(x)= e^ikx+Re^-ikx in x<0 and psi(x)=Ae^iqx+Be^-iqx for x b/w o and a. The Attempt at a Solution My question is, since there is...

Just a quick question. Solving the Schrodinger equation (time-independent) for an infinite potential barrier, I end up with two wavefunctions. In region I, V(x)=0 \Rightarrow\psi(x)=Acos(\frac{\sqrt{2mE}}{\hbar}x)+Bsin(\frac{\sqrt{2mE}}{\hbar}x) In region II, V(x)=\infty...

Homework Statement hey all! i have a relli urgent question that needs to be answered in as much detail as possible...hope someone can help... Q: How is a particle, with energy of lower value than the potential barrier, able to penetrate through the barrier? (ans cannot have reasons like...

hi,... i unfortunately couldn't find a solution to this problem although it seems like a classical textbook problem... how can i solve the (time independent) schroedingerequation for the following potential V(x) = \infty for x<=-1 V(x) = a\delta(x) for -1<x<1 V(x) = \infty for x>=1 so at x=0...

I am doing a computational project in my undergraduate Quantum Physics course on tunneling through a potential barrier. But, it's an irregular potential barrier, so I cannot simply use the results from a textbook. The first diagram, with corresponding wave equations, are shown in the first...

Homework Statement find the wavefunction of a particle in a potential V(x)= 0, |x|< a V, |x|< b (V>0) (Infinity), |x|>=b ground state energy 0<=E<=V Homework Equations The Attempt at a Solution i know the wavefunction has to be equal to zero at...

I am dealing with the classic problem of a potential barrier of finite width, with a particle tunneling through, in the case of E < V. I am to calculate the transmission/reflection coefficients, and we first start off with the wavefunctions for the three regions. Before the barrier, we...

I got a question about an infinite potential barrier. If a particle with a momentum p travell through an infinite potential barrier, how can the energy be conserved, thus how can the particle have the same momentum after passing the barrier? Does there exists any real life example?

If you have a Potential Barrier V (width a) and particles incident on left with energy E where E>V, are the following true: Classical Physics: - All particles will be transmitted past the barrier - It cannot be reflected because that would mean it has negative E which is not possible...

If you have a Potential Barrier V (width a) and particles incident on left with energy E where E>V, are the following true: Classical Physics: - All particles will be transmitted past the barrier - It cannot be reflected because that would mean it has negative E which is not possible...

The Coulomb potential barrier of a system of two nuclei X and Y is approximately given by VC = ZX*ZY*e2/RN where ZX and ZY are the charge numbers of the nuclei, e2 = 1.44 MeV*fm, RN = (AX1/3+AY1/3) × r0 is the sum of the nuclear radii. r0 is a constant usually estimated to 1.2 to 1.3 fm and AX...

I have a couple questions about finite potential barriers that I can't seem to figure out on my own... 1) Why does the real part of the wave function collapse inside the barrier (square, rectangular, barrier with V less than the energy of particle)? It seems to me that there should be some...

Since these seem to be popular around here these days, I thought I'd another to the mix :) "A particle of mass m and energy E > 0 approaches a potential drop -V0 from the left. What is the probability that it will be reflected back if E = V0/3? The potential energy is V(x) = 0 for x<0 and...

Hi there, Was wondering about the potential barrier problem when Eo>V. I have figured out the expression for the Transmission coeffient (after a lot of algebra) and am now wondering, what happens when I vary the width of the barrier, obviously there is greater transmission when the barrier...