Learning Materials
Features
Discover
Chapter 8: Q56E (page 342)
Determine the rank according to increasing wavelength of and
The ranking of the spectral lines from lowest to highest is and .
Over 30 million students worldwide already upgrade their learning with 91影视!
All the tools & learning materials you need for study success - in one app.
Get started for free
A hydrogen atom in its ground state is subjected to an external magnetic field of 1.0 T. What is the energy difference between the spin-up and spin-down states?
Exercise 44 gives an antisymmetric multiparticle state for two particles in a box with opposite spins. Another antisymmetric state with spins opposite and the same quantum numbers is
Refer to these states as 1 and 11. We have tended to characterize exchange symmetry as to whether the state's sign changes when we swap particle labels. but we could achieve the same result by instead swapping the particles' stares, specifically theandin equation (8-22). In this exercise. we look at swapping only parts of the state-spatial or spin.
(a) What is the exchange symmetric-symmetric (unchanged). antisymmetric (switching sign). or neither-of multiparticle states 1 and Itwith respect to swapping spatial states alone?
(b) Answer the same question. but with respect to swapping spin states/arrows alone.
(c) Show that the algebraic sum of states I and II may be written
Where the left arrow in any couple represents the spin of particle 1 and the right arrow that of particle?
(d) Answer the same questions as in parts (a) and (b), but for this algebraic sum.
(e) ls the sum of states I and 11 still antisymmetric if we swap the particles' total-spatial plus spin-states?
(f) if the two particles repel each other, would any of the three multiparticle states-l. II. and the sum-be preferred?
Explain.
Question: The 鈥渞adius of an atom鈥� is a debatable quantity. Why?
Exercise 45 refers to state I and II and put their algebraic sum in a simple form. (a) Determine algebraic difference of state I and state II.
(b) Determine whether after swapping spatial state and spin state separately, the algebraic difference of state I and state II is symmetric, antisymmetric or neither, and to check whether the algebraic difference becomes antisymmetric after swapping spatial and spin states both.
What is the minimum possible energy for five (non-interacting) spin particles of massmin a one dimensional box of length L ? What if the particles were spin-1? What if the particles were spin ?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine