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Just what is stationary in a stationary state? The particle? Something else?

Short Answer

Expert verified

As the electrons are represented by waves in quantum mechanics, the stationary states are those states of an electron in which the wave representing the electron forms a stationary wave. This results in no energy loss of electrons during the revolution.

Step by step solution

01

Concept of stationary states.

Stationary states of an electron are those states in which the electron does not experience any energy loss while revolving around the nucleus. In this state, the angular momentum of the electron remains conserved.

02

Stationary wave

In quantum mechanics, the electron is not considered a particle but is represented by a wave function. The stationary state of an electron is that state in which the electron, revolving in an orbit, forms a standing wave or a stationary wave. In this state, there is no loss of energy experienced by the electrons.

03

Conclusion

The stationary states are those states in which the wave representing an electron remains stationary. Thus, no energy loss is experienced by the electron.

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Most popular questions from this chapter

Question: From equation (6.33), we conclude that the group velocity of a matter wave group equals the velocity V0 of the massive particle with which it is associated. However both the dispersion relation used to show that vgroup=hk0/m and the formula used to relatethis to the particle velocity are relativistically incorrect. It might be argued that we proved what we wished to prove by making an even number of mistakes.

a. Using the relativistically correct dispersion relation given in Exercise 4.1show that the group velocity of a wave pulse is actually given by

vgroup=hk0c2(hk0)2c2+m2c4

b. The fundamental relationshipÒÏ=hk is universally connect. So is indeed the particle momentum ÒÏ. (it is not well defined. but this is its approximate or central value) Making this substitution in the expression forvgroupfrom part (a). then using the relativistically correct, relationship between momentumÒÏ and panicle velocity v,show that the group velocity again is equal to the panicle velocity.

Estimate characteristic X-ray wavelengths: A hole has already been produced in the n=1 shell, and an n=2 electron is poised to jump in. Assume that the electron behaves as though in a "hydrogenlike" atom (see Section 7.8), with energy given byZef2(-13.6eV/n2) . Before the jump, it orbits Z protons, one remaining n=1electron. and (on average) half its seven fellow n=2 electrons, for a ZeffofZ-4.5 . After the jump, it orbits Z protons and half of its fellown=1 electron, for a ZeffofZ-0.5 . Obtain a formula for1/λ versus Z . Compare the predictions of this model with the experimental data given in Figure8.19 and Table .

A supersonic: - plane travels al 420 m/s. As this plane passes two markers a distance of 4.2km apart on the ground, how will the time interval registered on a very precise clock onboard me plane differ from 10s?

Calculate the probability that the electron in a hydrogen atom would be found within 30 degrees of the xy-plane, irrespective of radius, for (a) I=0 ,m1=0; (b) role="math" localid="1660014331933" I=1,mI=±1and (c) I=2,mI=±2. (d) As angular momentum increases, what happens to the orbits whose z-components of angular momentum are the maximum allowed?

A plank fixed to a sled at rest in frame S, is of length L0and makes an angle of θ0with the x-axis. Later the sled zooms through frame S at a constant speed v parallel to the x-axis. Show that according to an observer who remains at rest in frame S, the length of the plank is now

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