Table of Contents
What are the must conditions for a wave function to be acceptable?
The wave function must be single valued and continuous. The probability of finding the particle at time t in an interval ∆x must be some number between 0 and 1. An acceptable wave function may be odd as well as even.
Is e x 2 an acceptable wave function?
Yes it is an acceptable wave function because it is single valued,having finite first order derivative and it is continuous everywhere; which are the conditions for a function to be a wave function.
Why is Sinx acceptable for wave function?
Sin(x) unfortunately doesn’t. So this is a non normalizable function. You cannot define Sin(x) as a wavefunction when your space extends from -infinity to + infinity. But if you cut your x axis (like you do for particle in 1D well) obviously sin(n.
Can a wave function be discontinuous?
There is a discontinuity in the derivative of the wave function proportional to the wave function at that point (and to the strength of the delta function potential).
What are the conditions for a wave function to be normal?
By imposing this condition, we are assured that the wave function is normalizeable and thereforce can have a meaningful probability distribution. To have a valid probability density, the integral over all space needs to equal 1. A consequence of this is that the wave function must go to 0 at ± ∞. The wave function must be continuous everywhere.
What is the symbol used for a wave function?
The symbol used for a wave function is a Greek letter called psi, 𝚿. By using a wave function, the probability of finding an electron within the matter wave can be explained. This can be obtained by including an imaginary number which is squared to get a real number solution resulting in the position of an electron.
What is a wave function in quantum mechanics?
Wavefunction Definition. Definition: A wavefunction is a function describing the probability of a particle’s quantum state as a function of position, momentum, time, and/or spin. Wavefunctions are commonly denoted by the variable Ψ.
How to find the position of an electron using wave function?
This can be obtained by including an imaginary number that is squared to get a real number solution resulting in the position of an electron. The concept of wave function was introduced in the year 1925 with the help of the Schrodinger equation.