Log out Go to App
Go to App

Learning Materials

Features

Discover

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’s 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’s called the correspondence limit.

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

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Consider an atomic nucleus to be equivalent to a one dimensional infinite potential well with L=1.4×10-14, a typical nuclear diameter. What would be the ground-state energy of an electron if it were trapped in such a potential well? (Note: Nuclei do not contain electrons.)

The wave functions for the three states with the dot plots shown in Fig. 39-23, which have n = 2 , l = 1 , and 0, and ml=0,+1,-1, are

Ψ210(r,θ)=(1/42π)(a-3/2)(r/a)r-r/2acosθΨ21+1(r,θ)=(1/8π)(a-3/2)(r/a)r-r/2a(sinθ)e+iϕΨ21-1(r,θ)=(1/8π)(a-3/2)(r/a)r-r/2a(sinθ)e-iϕ

in which the subscripts on Ψ(r,θ) give the values of the quantum numbers n , l , and ml the angles θand ϕ are defined in Fig. 39-22. Note that the first wave function is real but the others, which involve the imaginary number i, are complex. Find the radial probability density P(r) for (a)Ψ210 and (b)Ψ21+1 (same as for Ψ21-1 ). (c) Show that each P(r) is consistent with the corresponding dot plot in Fig. 39-23. (d) Add the radial probability densities for Ψ210 , Ψ21+1 , andΨ21-1 and then show that the sum is spherically symmetric, depending only on r.

An old model of a hydrogen atom has the chargeof the proton uniformly distributed over a sphere of radiusa0, with the electron of charge -eand massat its center.

  1. What would then be the force on the electron if it were displaced from the center by a distancer≤a0?
  2. What would be the angular frequency of oscillation of the electron about the center of the atom once the electron was released?

What is the probability that in the ground state of hydrogen atom , the electron will be found at a radius greater than the Bohr radius?

Is the ground-state energy of a proton trapped in a one-dimensional infinite potential well greater than, less than, or equal to that of an electron trapped in the same potential well?
See all solutions

Recommended explanations on Physics Textbooks

Atoms and Radioactivity

Read Explanation

Fluids

Read Explanation

Geometrical and Physical Optics

Read Explanation

Physical Quantities And Units

Read Explanation

Circular Motion and Gravitation

Read Explanation

Dynamics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free