Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Question
Chapter 7, Problem 14CQ
To determine
The difference between the physical properties of quantized in the cubic three dimensional box versus the hydrogen atom.
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Chapter 7 Solutions
Modern Physics
Ch. 7 - Prob. 1CQCh. 7 - Prob. 2CQCh. 7 - Prob. 3CQCh. 7 - Prob. 4CQCh. 7 - Prob. 5CQCh. 7 - Prob. 6CQCh. 7 - Prob. 7CQCh. 7 - Prob. 8CQCh. 7 - Prob. 9CQCh. 7 - What are the dimensions of the spherical harmonics...
Ch. 7 - Prob. 11CQCh. 7 - Prob. 12CQCh. 7 - Prob. 13CQCh. 7 - Prob. 14CQCh. 7 - Prob. 15CQCh. 7 - Prob. 16CQCh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - Prob. 21ECh. 7 - Prob. 22ECh. 7 - Prob. 23ECh. 7 - Prob. 24ECh. 7 - Prob. 25ECh. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - Show that of hydrogen’s spectral seriesLyman,...Ch. 7 - Prob. 29ECh. 7 - Prob. 30ECh. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - Prob. 36ECh. 7 - Prob. 37ECh. 7 - A particle orbiting due to an attractive central...Ch. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - Prob. 41ECh. 7 - Prob. 42ECh. 7 - Prob. 43ECh. 7 - How many different 3d states are there? What...Ch. 7 - Prob. 45ECh. 7 - Prob. 46ECh. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - Prob. 50ECh. 7 - Prob. 51ECh. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - Prob. 54ECh. 7 - For states where l=n1 , the radial probability...Ch. 7 - Prob. 56ECh. 7 - Prob. 57ECh. 7 - Prob. 58ECh. 7 - Prob. 59ECh. 7 - Prob. 60ECh. 7 - Prob. 61ECh. 7 - Prob. 62ECh. 7 - Prob. 63ECh. 7 - Prob. 64ECh. 7 - Prob. 65ECh. 7 - Prob. 66ECh. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 69ECh. 7 - Prob. 70ECh. 7 - Prob. 71ECh. 7 - Prob. 72ECh. 7 - Prob. 73ECh. 7 - Prob. 74ECh. 7 - Prob. 75ECh. 7 - Prob. 76ECh. 7 - Prob. 77ECh. 7 - Prob. 78ECh. 7 - Prob. 79CECh. 7 - Prob. 80CECh. 7 - Prob. 81CECh. 7 - Prob. 83CECh. 7 - Prob. 84CECh. 7 - Prob. 85CECh. 7 - Prob. 86CECh. 7 - Prob. 87CECh. 7 - Prob. 89CE
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Similar questions
- Compute the intrinsic line-width (AX) of the Lyman a line (corresponding to the n = 2 to n = 1) transition for the Hydrogen atom. You may assume that the electron remains in the excited state for a time of the order of 10 s. The line-width may be computed using: e hc ΔΕarrow_forwardif the chlorine molecule at 290K were to rotate at the angular frequency predicted by the equipartition theorem what would be the average centipital force ? ( the atoms of Cl are 2 x 10-10 m apart and the mass of the chlorine atom 35.45 a.m.u )arrow_forwardConsider a classical model of an electron as a uniform solid sphere with a radius of 8.17 x 10-17 m. Imagine that this electron possesses spin angular momentum L; = Iw = h/2 because of classical rotation about the z axis. Determine the speed of a point on the equator of the electron. State how this speed compares with the speed of light. What does your result suggest about the validity of this model?arrow_forward
- 3-2. Consider an electron in a uniform and constant magnetic field B along the z-axis. Obtain the most general four-component posit ive-energy eigenfunctions. Show that the energy eigenvalues are given by E = /m*c* + c p+ 2nehc|B| with n 0, 1, 2,... List all the constants of the motion.arrow_forwardThis question concerns the addition of 3 angular momenta (as covered in the tutorial). Consider again the hydrogen atom including the nuclear spin (1= 1/2). For an electron in a 3d level, what are all the possible values for the total angular momentum quantum number (including electron spin, nuclear spin and orbital motion)? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a b с d e 1,2,3 0,1,2,3 3/2,5/2 1,3/2,2,5/2,3 1,3arrow_forwardIf we have a hydrogen atom with its electron in the d state? Then the principal quantum number is n is 2. (True or False?) Justify your answer.arrow_forward
- Provide the angular momentum (as multiples of ℏ) of an electron in the orbitals 4d, 2p, and 3p. Provide the number of angular and radial nodes in each case. SHOW PROCEDURE CLEARLY AND EXPLICITLY, DO NOT SKIP ANY STEParrow_forwardComplete the derivation of E = Taking the derivatives we find (Use the following as necessary: k₁, K₂ K3, and 4.) +- ( ²) (²) v² = SO - #2² - = 2m so the Schrödinger equation becomes (Use the following as necessary: K₁, K₂, K3, ħ, m and p.) 亢 2mm(K² +K ² + K² v k₁ = E = = EU The quantum numbers n, are related to k, by (Use the following as necessary: n, and L₁.) лħ n₂ π²h² 2m √2m h²²/0₁ 2m X + + by substituting the wave function (x, y, z) = A sin(kx) sin(k₂y) sin(kz) into - 13³3). X What is the origin of the three quantum numbers? O the Schrödinger equation O the Pauli exclusion principle O the uncertainty principle Ⓒthe three boundary conditions 2² 7²4 = E4. 2marrow_forwardExplain the hyperfine splitting of H-atom energy levels.arrow_forward
- (b) Look very carefully at the picture below. Give the relevant quantum numbers. Explain your answer. y-axisarrow_forwardFind the first four quantized energy levels for a proton constrained to move on the surface of a sphere of radius 0.20 nm. Can this system exist ? Please type the answer step by step .arrow_forwardExplicit expressions for hydrogenic orbitals are given in Tables 7F.1 (for the angular component) and 8A.1 (for the radial component). (a) Verify both that the 3px orbital is normalized (to 1) and that 3px and 3dxy are mutually orthogonal.Hint: It is sufficient to show that the functions eiϕ and e2iϕ are mutually orthogonal. (b) Identify the positions of both the radial nodes and nodal planes of the 3s, 3px, and 3dxy orbitals. (c) Calculate the mean radius of the 3s orbital. Hint: Use mathematical software. (d) Draw a graph of the radial distribution function for the three orbitals (of part (b)) and discuss the significance of the graphs for interpreting the properties of many-electron atoms.arrow_forward
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