PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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Author: Tipler
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Chapter 36, Problem 18P
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Students have asked these similar questions
If the minimum angle between the total angular momentum vector and the z axis is 32.3° (in a singleelectron atom), what is the total angular momentum quantum number?
An electron is in a three-dimensional box. The x- and z-sides of the box have the same length, but the y-side has a different length. The two lowest energy levels are 2.24 eV and 3.47 eV, and the degeneracy of each of these levels (including the degeneracy due to the electron spin) is two. (a) What are the nX, nY, and nZ quantum numbers for each of these two levels? (b) What are the lengths LX, LY, and LZ for each side of the box? (c) What are the energy, the quantum numbers, and the degeneracy (including the spin degeneracy) for the next higher energy state?
I need to determine if the given state is entangled or not.
|ϕ1⟩ = (1 / √3) |00⟩ − (i / √3) |01⟩ + (1+ i / √6) |11⟩
Chapter 36 Solutions
PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
Ch. 36 - Prob. 1PCh. 36 - Prob. 2PCh. 36 - Prob. 3PCh. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Prob. 6PCh. 36 - Prob. 7PCh. 36 - Prob. 8PCh. 36 - Prob. 9PCh. 36 - Prob. 10P
Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - Prob. 13PCh. 36 - Prob. 14PCh. 36 - Prob. 15PCh. 36 - Prob. 16PCh. 36 - Prob. 17PCh. 36 - Prob. 18PCh. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - Prob. 23PCh. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28PCh. 36 - Prob. 29PCh. 36 - Prob. 30PCh. 36 - Prob. 31PCh. 36 - Prob. 32PCh. 36 - Prob. 33PCh. 36 - Prob. 34PCh. 36 - Prob. 35PCh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75P
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- Write an expression for the total number of states with orbital angular momentum l.arrow_forwardFor n = 2, write all the possible sets of quantum numbers (n, l, m, ms).arrow_forwardFor a 3d electron in an external magnetic field of 2.50 × 10-3 T, find (a) the current associated with the orbital angular momentum, and (b) the maximum torque.arrow_forward
- Due to the spin of an electron S, orbital angular momemtum L is not sufficient to explain the behavior of an atom. A better quantum number is the total angular momentum. The total angular momentum J of an atom is given by J= L+ S. Just as L has an associated quantum number (the orbital quantum number l), J has the associated total angular quantum number j. If the orbital quantum number is I = 1, what are the possible value(s) of the total angular quantum number j? )Oj = orj = - 0)= } orj = } %3D %3D 2. e)Oj = }arrow_forwardQuantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (?),(n), the angular momentum quantum number (?),(?), the magnetic quantum number (??),(m?), and the spin quantum number (?s)(ms) have strict rules which govern the possible values. Identify all allowable combinations of quantum numbers for an electron. A. ?=4,n=4, ?=1,?=1, ??=2,m?=2, ?s=−1/2ms B.?=3,n=3, ?=−1,?=−1, ??=1,m?=1, ?s=−1/2ms C.?=5,n=5, ?=2,?=2, ??=2,m?=2, ?s=+1/2ms D.?=3,n=3, ?=3,?=3, ??=1,m?=1, ?s=−1/2ms E.?=2,n=2, ?=1,?=1, ??=1,m?=1, ?s=0ms F. ?=3,n=3, ?=1,?=1, ??=1,m?=1, ?s=+1/2arrow_forward(a) List all possible sets of quantum numbers (n, l, ml , ms) for the n = 3 shell, and determine the number of electrons that can be in the shell and each of its subshells. (b) Show that the number of electrons in the shell equals 2n2 and that the number in each subshell is 2(2l + 1) .arrow_forward
- (a) What is the magnitude of the orbital angular momentum in a state with L=3 ? (b) What is the magnitude of its largest projection on an imposed z axis?arrow_forwardThe quantum mechanical model of the hydrogen atom requires that if the principal quantum number is 6, there will be how many different permitted orbital quantum number(s)?arrow_forwardThe Pauli spin matrices in quantum mechanics are 0 A B C = -1 0 Show that A2 B2 C2 = 1. a) -BA b) Show that AB Show that AB BA 2iCarrow_forward
- Determine the integral | P(r) dr for the radial probability density for the ground state of the hydrogen atom 4 P(r) = - r²e-2rla a³ O 1 O-1 O 0.5arrow_forwardTwo, each with spin angular momentum S1=1/2 , S2=1/2 and orbital angular momentum l1=1, l2=1 Think electron. (a) What are the possible values of the quantum number L for total orbital angular momentum L=L1 + L2? (b) What are the possible values of the quantum number S for the total spin angular momentum S=S1 + S2 (c) Using the results from (a) and (b), we calculate the possible quantum number J for the total angular momentum. Find J=L + S. (d) Write the spectral term ^{2S+1}L_{J=L+S} using its spectroscopic notationarrow_forwardIn the subshell L=3 , (a) what is the greatest (most positive) value, (b) how many states are available with the greatest mL value, and (c) what is the total number of states available in the subshell?arrow_forward
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