Purchase Solution

One dimensional infinite square, particle with mass

Not what you're looking for?

Ask Custom Question

1- Consider a particle with mass m in the one dimensional infinite square ell potential V(x) with length L at time t=0, the wave function for this particle psi (x) =A sin(pi x/L) cos(pi x/L)

a) find the coefficient A so that the wave function is properly normalized.
b) what is the probability of finding particle between 0<x< L/2?
c) what is the probability of finding ground state at later time t>0?

2- Consider an electron of mass m= 0.9x10^-30 kg in a infinite box of dimension L= 10^-9 m. What is the energy different between the ground state and first excited state?(Express your answer in eV).

Purchase this Solution
Solution Summary

The expert examines one dimensional infinite squares for particles with a mass.

Solution Preview

Hello and thank you for posting your question to BrainMass.
The solution is attached below in two files. The ...

Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

The Moon

Test your knowledge of moon phases and movement.

Basic Physics

This quiz will test your knowledge about basic Physics.

View More Free Quizzes
Related BrainMass Solutions

  • Particle of mass m in a one-dimensional impenetrable box

    144553 Particle of mass m in a one-dimensional impenetrable box A particle of mass m is in a one-dimensional impenetrable box extending from x = 0 to x = a.

  • How much energy does a hydrogen atom give up?

    Mass of the hydrogen atom m = 1.6727*10-27 kg Planks constant h = 6.62*10-34 Width of square well L = 1.0 nm = 10-9 m Energy level of a particle enclosed in one dimensional Infinite square well will be En = n2h2/(8mL2)

  • Energy Change of a Particle

    333065 Energy Change of a Particle A particle of mass m is confined to move in a narrow, straight tube of length a which is sealed at both ends with V=0 inside the tube. Treat the tube as a one-dimensional infinite square well.

  • The QM Probability of Finding a Particle in Various Regions

    435701 A particle is trapped in an infinite one-dimensional well of width L. If the particle is in the its ground state, evaluate the probability to find the particle A particle is trapped in an infinite one-dimensional well of width L.

  • Problems Involving the Schrodinger Equation

    (iv) The mass of the particle in the infinite well is 2.00 Ã- 10^-30 kg, and the width of the well is 1.00 Ã- 10^-9 m.

  • Multiparticle Schrodinger Equation

    Two identical spin-1/2 particles with mass m are in a one-dimensional infinite square-well potential with width a, so V(x)=0 for 0 <= x <= a, and there are infinite potential barriers at x=0 and x=a.

  • Number of bound states in a finite square well

    532486 Number of Bound States in a Finite Square Well 1. Families of finite square wells. A particle of mass m has N quantized energy levels in a one-dimensional square well of depth V_0 and width L. N is more than 10.

  • One-Dimensional Time-Independent Schrodinger

    149577 One-Dimensional Time-Independent Schrodinger 4.15. A particle is moving in a simple harmonic oscillator potential V(x) = 1/2kx^2 for x>0, but with an infinite potential barrier at x=0 (the paddle ball potential).

  • Quantum Mechanics

    277226 Quantum Mechanics One Dimensional Potential An electron is trapped in an infinite one-dimensional potential well of width 0.132 nm. The electron is in the n=10 state. A) What is energy of the electron?

View More Related Solutions