Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

which condition id sufficient to ensure that a wave function is an energy eigenf

ID: 1583147 • Letter: W

Question

which condition id sufficient to ensure that a wave function is an energy eigenfunction?

a. the wave function is normalizable

b. the wave function satosfoes the time independent schrodinger equation

hich of these statements about the quantum hion assuming that the quantum numbers are n.l.m eigenstates of the hydrogen atom i not true? Here we use the usual , The wave function, (9,4,r), approaches zero as r hAt fixed n, increasing I will increase the energy. c. The angular part of the wave function is a constant if and only if i-o. 0. 25 Which condition is sufficient to ensure that a wave function is an energy eigenfunction? a. The wave function is normalizable. b. The wave function satisfies the time-independent Schrödinger equation. c. The wave function satisfies the time-dependent Schrödinger equation. 26) An electron in a certain hydrogen atom. has the following wave function: -|100+ 210-311)/V3, where In are normalized. If we measure the electron's angular momentum, what is the probability that we will obtain !- 1? a. 4/3 b. 2/3 c. 0.21 d. 0.5 e. 27) The orbital quantum numbers of the electron in hydrogen atom are (Im) (3,1). What is the lowest possible energy Emins of the electron consistent with these quantum numbers? a. -13.6 ev b.-0.85 eV c. -1.51 eV 1 state. Which of the following is true about the angular momentum in 28) Suppose the hydrogen atom is excited to al the z and y directions at a given point in time? a. The electron can have definite angular momentum in both directions, but only if m-l b. The electron can have definite values of angular momentum in both directions, for any value of m. c. The electron cannot have definite values of angular momentum in both directions.

Explanation / Answer

A wave function to be an energy eigenfunction must satisfy the time independent Schrödinger equation.

This is the difference between an eigenfunction and a wave function. If an operator operated on a wave function gives the same wave function then that wave function will be an eigenfunction.That's why all eigen functions are wavefunctions but not the vice versa.

Schrödinger's equation consists of two operators- potential and kinetic energy operator.So an eigenfunction will satisfy it.

And the result obtained will be an energy eigen value..

If u face any problem, plz comment...

Related Questions

where possible classify these systems as reactant favored or product favored at
Question #475715
where q is the reduction in emissions (in pounds of pollutant per day) and C is
Question #2838169
where q1 = 6.05 10-9 C, q2 = -2.37 10-9 C, and q3 = 4.95 10-9 C. Using the same
Question #1899025
where r = kT, and A: is Boltzmann\'s constant, 5 is the acceleration at the surf
Question #1678768
where r is the distance from the center of the earthto the particle, R = 6.37 x
Question #1663248
where represent labour supply, wages, and tax in period The consumer takes wages
Question #1108894
where row i A is the ith row of matrix A and col j B is the jth column of the ma
Question #2261792
where t is the time in seconds and y(t) is the blood pressure. Create an array f
Question #3550154

Navigate

Previous
which condition does not shift the oxyhemoglobin dissoclation curve to the right
Next
which contains a skeleton of the solution. You should complete thisskeleton (i.e

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.