Chapter 39: Q15Q (page 1214)
Identify the correspondence principle.
Short Answer
For a large system, the correspondence principles are identified, where calculations of Quantum and Classical physics match.
Chapter 39: Q15Q (page 1214)
Identify the correspondence principle.
For a large system, the correspondence principles are identified, where calculations of Quantum and Classical physics match.
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Get started for freeA proton and an electron are trapped in identical one-dimensional infinite potential wells; each particle is in its ground state. At the center of the wells, is the probability density for the proton greater than, less than, or equal to that of the electron?
figure 39-28 shows the energy-level diagram for a finite, one-dimensional energy well that contains an electron. The nonquantized region begins at . Figure 39-28b gives the absorption spectrum of the electron when it is in the ground state—it can absorb at the indicated wavelengths: and for any wavelength less than . What is the energy of the first excited state?
What is the ground-state energy of (a) an electron and (b) a proton if each is trapped in a one-dimensional infinite potential well that is 200 wide?
What is the probability that an electron in the ground state of the hydrogen atom will be found between two spherical shells whose radii are r and r + , (a) if r = 0.500a and and (b) if r = 1.00a and , where a is the Bohr radius? (Hint: r is small enough to permit the radial probability density to be taken to be constant between r and .)
A hydrogen atom is in the third excited state. To what state (give the quantum number n) should it jump to (a) emit light with the longest possible wavelength, (b) emit light with the shortest possible wavelength, and (c) absorb light with the longest possible wavelength?
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