Question
for a one-dimensional particle in a box, of the potential at x=+c is infinity, then the wave function at x=+c must be

For a one-dimensional particle in a box, if the potential at x = +c is infinity, then the wavefunction at x = +c must be a. O
0 0
Add a comment Improve this question Transcribed image text
Answer #1

For a one-dimensional particle in a box, if the potential at x=+c is infinity, then the wave function at x=+c must be a) 0

this is due to that whenever we will put value of potential energy infinity in schrodinger equation the value of the wavefunction will be 0.

Add a comment
Know the answer?
Add Answer to:
for a one-dimensional particle in a box, of the potential at x=+c is infinity, then the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • for a one-dimensional particle in a box, of the potential at x=+c is infinity, then the...

    for a one-dimensional particle in a box, of the potential at x=+c is infinity, then the wave function at x=+c must be For a one-dimensional particle in a box, if the potential at x = +c is infinity, then the wavefunction at x = +c must be a. O b. a positive number less than 1 O c. a positive number greater than 1 d. 1

  • Please answer all parts: Consider a particle in a one-dimensional box, where the potential the potential...

    Please answer all parts: Consider a particle in a one-dimensional box, where the potential the potential V(x) = 0 for 0 < x <a and V(x) = 20 outside the box. On the system acts a perturbation Ĥ' of the form: 2a ad αδα 3 Approximation: Although the Hilbert space for this problem has infinite dimensions, you are allowed (and advised) to limit your calculations to a subspace of the lowest six states (n = 6), for the questions of...

  • Particle in a box Figure 1 is an illustration of the concept of a particle in...

    Particle in a box Figure 1 is an illustration of the concept of a particle in a box. V=00 V=00 V=0 Figure 1. A representation of a particle in a box, where the potential energy, V, is zero between x = 0 and x = L and rises abruptly to infinity at the walls. The Schrödinger equation for a particle in a box reads t² d²u Y +V(x)y = Ey 2m dx2 + (1) where ħ=h/21 , y represents the...

  • A particle is confined to a one-dimensional box (an infinite well) on the x-axis between x...

    A particle is confined to a one-dimensional box (an infinite well) on the x-axis between x = 0 and x L. The normalized wave function of the particle when in the ground state, is given by A. What is the probability of finding the particle between x Eo, andx,? A. 0.20 B. 0.26 C. 0.28 D. 0.22 E. 0.24

  • 4. A (one dimensional) particle in a box of length 2a (i.e., zero potential energy) is...

    4. A (one dimensional) particle in a box of length 2a (i.e., zero potential energy) is represented by the wavefunction v(x) 0, otherwise a. Sketch the wavefunction. Write down the (time independent) Schrodinger equation. Show whether or not the wavefunction is a solution to the equation. b. What does it mean physically if the wavefunction of the particle is NOT a solution to the Schrodinger equation? Explain. c. Determine the normalization constant A. 5. Same system. Find the average or...

  • Consider a particle of mass m moving in a one-dimensional potential of the form V. for...

    Consider a particle of mass m moving in a one-dimensional potential of the form V. for 0<x<b, V(a) = 0 for Islal<e, for 1212, with V., b and c positive constants and c>b. a Explain why the wave function of the particle can be assumed to be cither an even function or an odd function of a. b For the case that the energy E of the particle is in the range 0<ESV., find the (unnormalized) even cigenfunctions and give...

  • /a). The wavefunction for a particle in a one-dimensional box of length a is v =...

    /a). The wavefunction for a particle in a one-dimensional box of length a is v = (2)"sin(n What is the probability of finding the particle in the middle third of the box for n = 2?

  • 5 Suppose that a particle in a 1-dimensional box is in the state (x) = NxL-x)...

    5 Suppose that a particle in a 1-dimensional box is in the state (x) = NxL-x) OSxSL = 0 everywhere else a) Show that this wavefunction is not an eigenvalue of the Hamiltonian operator. b) Sketch the wavefunction (x) c) Determine the value of the normalization constant N ! What this means is that the state is not stationary. so it evolves in time according to the full time-dependent Schrodinger equation. The expression given for (x) represents one instant in...

  • A particle is completely confined to one-dimensional region along the x-axis between the points x =...

    A particle is completely confined to one-dimensional region along the x-axis between the points x = ± L The wave function that describes its state is: SP 10 elsewhere where a and b are (as yet) unknown constants that can be expressed in terms of L Use the fact that the wave function must be continuous everywhere to solve for the constant b. The square of the wave function is a probability density, which means that the area under that...

  • At time t = 0, a mass-m particle in a one-dimensional potential well is in a...

    At time t = 0, a mass-m particle in a one-dimensional potential well is in a state given by the normalised wave function (x, 0) =3/2eAl2| | -ao x << 0, realU>0. Find the potential energy V = the energy eigenvalue E. Fix zero energy according to the convention V(x) » 0 for ao. Is there a delta function singularity at x0? V (x) for which this is an energy eigenstate and determine [6] At time t = 0, a...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT