 6.1: Why can we use the nonrelativistic form of the kineticenergy in tre...
 6.2: How do you reconcile the fact that the probabilitydensity for the g...
 6.3: Notice for the fi nite squarewell potential that the wavefunction ...
 6.4: In a given tunnel diode the pn junction (see Chapter11) width is fi...
 6.5: A particle in a box has a fi rst excited state that is 3 eVabove it...
 6.6: Does the wavelength of a particle change after it tunnelsthrough a ...
 6.7: Can a particle be observed while it is tunnelingthrough a barrier? ...
 6.8: Is it easier for an electron or a proton of the sameenergy to tunne...
 6.9: Can a wave packet be formed from a superposition ofwave functions o...
 6.10: Given a particular potential V and wave function ,how could you pro...
 6.11: Compare the infi nite squarewell potential with thefi nite one. Wh...
 6.12: Tunneling can occur for an electron trying to passthrough a very th...
 6.13: For the threedimensional cubical box, the groundstate is given by ...
 6.14: A particle in an infi nite squarewell potential hasgroundstate en...
 6.15: We can approximate an electron moving in a nanowire(a small, thin w...
 6.16: An electron moves with a speed v 1.25 104c insidea onedimensional ...
 6.17: For the infi nite squarewell potential, fi nd the probabilitythat ...
 6.18: Repeat the previous problem using the fi rst excitedstate.
 6.19: Repeat Example 6.9 for an electron inside the nucleus.Assume nonrel...
 6.20: What is the minimum energy of (a) a proton and(b) an particle trapp...
 6.21: An electron is trapped in an infi nite squarewell potentialof widt...
 6.22: Consider a fi nite squarewell potential well of width3.00 1015 m t...
 6.23: Compare the results of the infi nite and fi nite squarewellpotentia...
 6.24: Apply the boundary conditions to the fi nite squarewellpotential at...
 6.25: Apply the boundary conditions to the fi nite squarewellpotential at...
 6.26: Find the energies of the second, third, fourth, andfi fth levels fo...
 6.27: Write the possible (unnormalized) wave functions foreach of the fi ...
 6.28: Find the normalization constant A for the groundstate wave function...
 6.29: Complete the derivation of Equation (6.49) by substitutingthe wave ...
 6.30: Find the normalization constant A [in Equation(6.47)] for the fi rs...
 6.31: A particle is trapped in a rectangular box having sidesL, 2L, and 4...
 6.32: In Figure 6.9 we showed a plausible guess for the wavefunction c0 f...
 6.33: What is the energy level difference between adjacentlevels En En 1 ...
 6.34: The wave function for the fi rst excited state c1 for thesimple har...
 6.35: A nitrogen atom of mass 2.32 1026 kg oscillates inone dimension at ...
 6.36: One possible solution for the wave function cn for thesimple harmon...
 6.37: What would you expect for 8p9 and 8p29 for the groundstate of the s...
 6.38: Show that the energy of a simple harmonic oscillatorin the n 1 stat...
 6.39: An H2 molecule can be approximated by a simpleharmonic oscillator w...
 6.40: The creation of elements in the early universe and instars involves...
 6.41: Compare the wavelength of a particle when it passes abarrier of hei...
 6.42: (a) Calculate the transmission probability of anparticle of energy ...
 6.43: Consider a particle of energy E trapped inside thepotential well sh...
 6.44: When a particle of energy E approaches a potentialbarrier of height...
 6.45: Let 12.0eV electrons approach a potential barrier ofheight 4.2 eV....
 6.46: A 1.0eV electron has a 2.0 104 probability of tunnelingthrough a 2...
 6.47: An electron is attempting to tunnel through a squarebarrier potenti...
 6.48: Use the approximate Equation (6.73) to estimate theprobability of (...
 6.49: Check to see whether the simple linear combinationof sine and cosin...
 6.50: (a) Check to see whether the simple linear combinationof sine and c...
 6.51: A particle of mass m is trapped in a threedimensionalrectangular p...
 6.52: For a region where the potential V 0, the wave functionis given by ...
 6.53: Consider the semiinfi nitewell potential in which V q for x 0, V ...
 6.54: Assume that V0 U 2/2mL2 and show that the groundstate energy of a p...
 6.55: Prove that there are a limited number of bound solutionsfor the sem...
 6.56: Use the semiinfi nitewell potential to model a deuteron,a nucleus...
 6.57: Consider as a model of a hydrogen atom a particletrapped in a oned...
 6.58: (a) Repeat the preceding problem using a cubicalinfi nite potential...
 6.59: In the lab you make a simple harmonic oscillator witha 0.15kg mass...
 6.60: In gravityfree space, a 2.0mg dust grain is confi nedto move back...
 6.61: The wave function for the n 2 state of a simple harmonicoscillator ...
 6.62: A particle is trapped inside an infi nite squarewellpotential betw...
 6.63: The Morse potential is a good approximation for a realpotential to ...
 6.64: Show that the vibrational energy levels Ev for theMorse potential o...
 6.65: Consider a particle of mass m trapped inside a twodimensionalsquare...
 6.66: Make a sketch for each of the following situations forboth the infi...
 6.67: Two nanowires are separated by 1.3 nm as measuredby STM. Inside the...
 6.68: The WKB approximation is useful to obtain solutionsto the onedimen...
 6.69: Use the WKB approximation of Equation (6.74) inthe previous problem...
 6.70: In the special topic box in Section 6.7, the extremesensitivity of ...
Solutions for Chapter 6: Quantum Mechanics II
Full solutions for Modern Physics for Scientists and Engineers  4th Edition
ISBN: 9781133103721
Solutions for Chapter 6: Quantum Mechanics II
Get Full SolutionsChapter 6: Quantum Mechanics II includes 70 full stepbystep solutions. Since 70 problems in chapter 6: Quantum Mechanics II have been answered, more than 6660 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Modern Physics for Scientists and Engineers, edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Modern Physics for Scientists and Engineers was written by and is associated to the ISBN: 9781133103721.

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