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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’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.

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Most popular questions from this chapter

As Fig. 39-8 suggests, the probability density for the region

0 < x < L for the finite potential well of Fig. 39-7 is sinusoidal, being given by

ψ2(x)=Bsin2kx , in which B is a constant. (a) Show that the wave function ψ(x)

may be found from this equation is a solution of Schrodinger’s equation in its one-dimensional form. (b) Express an equation for that makes this true.

(a) What is the energy E of the hydrogen-atom electron whose probability density is represented by the dot plot of Fig. 39- 21? (b) What minimum energy is needed to remove this electron from the atom?

A hydrogen atom in a state having a binding energy (the energy required to remove an electron) of 0.85 eV makes a transition to a state with an excitation energy (the difference between the energy of the state and that of the ground state) of 10.2eV. (a) What is the energy of the photon emitted as a result of the transition? What are the (b) higher quantum number and (c) lower quantum number of the transition producing this emission?

If you wanted to use the idealized trap of Fig. 39-1 to trap a positron, would you need to change

(a) the geometry of the trap,

(b) the electric potential of the central cylinder, or

(c) the electric potentials of the two semi-infinite end cylinders?

(A positron has the same mass as an electron but is positively charged.)

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.)
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