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Chapter 39: Q15Q (page 1214)

Identify the correspondence principle.

Short Answer

Expert verified

For a large system, the correspondence principles are identified, where calculations of Quantum and Classical physics match.

Step by step solution

01

Understanding the correspondence principle.

The correspondence principle defines any system鈥檚 behavior by Quantum mechanical theories for Quantum numbers having higher values, reproducing classical mechanics. Thus for a higher energy level, the calculations done in Quantum mechanics must match classical mechanics.

02

Identification of Correspondence Principle.

According to scientist Niel Bohr, the correspondence principle states that for large systems, classical physics and Quantum physics conclude to the same result, and when conditions of classical and Quantum physics perfectly match, that鈥檚 called the correspondence limit.

Therefore for a large system, the correspondence principles are identified, where calculations of Quantum and Classical physics match.

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Most popular questions from this chapter

A hydrogen atom can be considered as having a central point- like proton of positive charge eand an electron of negative charge -ethat is distributed about the proton according to the volume charge density蚁=Aexp(-2r/a0). Hereis a constant,a0=0.53脳10-10m, andris the distance from the center of the atom.

(a) Using the fact that the hydrogen is electrically neutral, find A. the

(b) Then find magnitude

(c) Then find direction of the atom鈥檚 electric field ata0.

A diatomic gas molecule consists of two atoms of massseparated by a fixed distance drotating about an axis as indicated in given figure. Assuming that its angular momentum is quantized as in the Bohr model for the hydrogen atom, find

  1. The possible angular velocities.
  2. The possible quantized rotational energies.

A proton is confined to a one-dimensional infinite potential well 100pm wide. What is its ground-state energy?

Consider a conduction electron in a cubical crystal of a conducting material. Such an electron is free to move throughout the volume of the crystal but cannot escape to the outside. It is trapped in a three-dimensional infinite well. The electron can move in three dimensions so that its total energy is given by

E=h28L2m(n12+n22+n32)

in whichare positive integer values. Calculate the energies of the lowest five distinct states for a conduction electron moving in a cubical crystal of edge length L=0.25渭m.

Calculate the energy change required for an electron to move between states: a quantum jump up or down an energy-level diagram.
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