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Chapter 1: Q5CQ (page 1)

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

Anna and Bob have identical spaceship 60m long. The diagram shows Bob’s observations of Anna’s ship, which passes at a speed of c/2. Clocks at the back of both ships read just as they pass. Bob is at the center of his ship and at t = 0 on his wrist watch peers at a second clock on Anna’s ship.

(a) What does this clock read?

(b) Later, the back of Anna’s ship passes Bob. At what time does this occur according to Bob?

(c) What will observers in Bob’s frame see on Anna’s two clocks at this time?

(d) Identify two events that show time dilation and two that show length contraction according to Anna.

Prove that fur any sine function sin(kx+ϕ)of wavelength shorter than 2a, where ais the atomic spacing. there is a sine function with a wavelength longer than 2a that has the same values at the points x = a , 2a , 3a . and so on. (Note: It is probably easier to work with wave number than with wavelength. We sick to show that for every wave number greater than there is an equivalent less than π/a.)

Nuclei of the same mass number but different Zare known as isobars. Oxygen-15 and nitrogen- 15 are isobars.

(a) In which of the factors considered in nuclear binding (represented by terms in the semi empirical binding energy formula) do these two isobars differ?

(b) Which of the isobars should be more tightly bound?

(c) k your conclusion in part (b) supported by the decay mode information of Appendix 1? Explain.

(d) Calculate the binding energies of oxygen-15 and nitrogen-15. By how much do they differ?

(e) Repeat part (d) but use the semi empirical binding energy formula rather than the known atomic masses.

As noted in example 10.2, the HD molecule differs from H2in that a deuterium atom replaces a hydrogen atom (a) What effect, if any, does the replacement have on the bond length and force constant? Explain. (b) What effect does it have on the rotational energy levels ? (c) And what effect does it have on the vibrational energy levels.?

A function f(α)is nonzero only in the region of width 2δcentered atα=0

f(α)={Cα≤δ0α≥δ

where C is a constant.

(a) Find and plot versus βthe Fourier transform A(β)of this function.

(b) The function ρα) might represent a pulse occupying either finite distance (localid="1659781367200" α=position) or finite time (α=time). Comment on the wave number if α=is position and on the frequency spectrum if αis time. Specifically address the dependence of the width of the spectrum on δ.
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