 40.Q40.1: If quantum mechanics replaces the language of Newtonian mechanics, ...
 40.Q40.2: A student remarks that the relationship of ray optics to the more g...
 40.Q40.3: As Eq. (40.21) indicates, the timedependent wave function for a st...
 40.Q40.4: Why must the wave function of a particle be normalized?
 40.Q40.5: If a particle is in a stationary state, does that mean that the par...
 40.Q40.6: For the particle in a box, we chose k = np>L with n = 1, 2, 3, c to...
 40.Q40.7: If c is normalized, what is the physical significance of the area u...
 40.Q40.8: For a particle in a box, what would the probability distribution fu...
 40.Q40.9: In Chapter 15 we represented a standing wave as a superposition of ...
 40.Q40.10: A particle in a box is in the ground level. What is the probability...
 40.Q40.11: The wave functions for a particle in a box (see Fig. 40.12a) are ze...
 40.Q40.12: For a particle confined to an infinite square well, is it correct t...
 40.Q40.13: For a particle in a finite potential well, is it correct to say tha...
 40.Q40.14: In Fig. 40.12b, the probability function is zero at the points x = ...
 40.Q40.15: A particle is confined to a finite potential well in the region 0 6...
 40.Q40.16: Compare the wave functions for the first three energy levels for a ...
 40.Q40.17: t is stated in Section 40.3 that a finite potential well always has...
 40.Q40.18: Figure 40.15a shows that the higher the energy of a bound state for...
 40.Q40.19: In classical (Newtonian) mechanics, the total energy E of a particl...
 40.Q40.20: Figure 40.17 shows the scanning tunneling microscope image of 48 ir...
 40.Q40.21: Qualitatively, how would you expect the probability for a particle ...
 40.Q40.22: The wave function shown in Fig. 40.20 is nonzero for both x 6 0 and...
 40.Q40.23: The probability distributions for the harmonicoscillator wave func...
 40.Q40.24: In Fig. 40.28, how does the probability of finding a particle in th...
 40.Q40.25: Compare the allowed energy levels for the hydrogen atom, the partic...
 40.Q40.26: Sketch the wave function for the potentialenergy well shown in Fig...
 40.Q40.27: (a) A particle in a box has wave function 1x, t2 = c21x2eiE2t>U , ...
 40.40.1: An electron is moving as a free particle in the x@direction with m...
 40.40.2: A free particle moving in one dimension has wave function 1x, t2 = ...
 40.40.3: Consider the freeparticle wave function of Example 40.1. Let k2 = 3...
 40.40.4: A particle is described by a wave function c1x2 = Aeax2 , where A ...
 40.40.5: Consider a wave function given by c1x2 = Asin kx, where k = 2p>l an...
 40.40.6: Compute 0 0 2 for = c sinvt, where c is time independent and v is a...
 40.40.7: Let c1 and c2 be two solutions of Eq. (40.23) with energies E1 and ...
 40.40.8: A particle moving in one dimension (the xaxis) is described by the ...
 40.40.9: GroundLevel Billiards. (a) Find the lowest energy level for a part...
 40.40.1: A proton is in a box of width L. What must the width of the box be ...
 40.40.11: Find the width L of a onedimensional box for which the groundstate ...
 40.40.12: When a hydrogen atom undergoes a transition from the n = 2 to the n...
 40.40.13: A certain atom requires 3.0 eV of energy to excite an electron from...
 40.40.14: . An electron in a onedimensional box has groundstate energy 2.00 e...
 40.40.15: Normalization of the Wave Function. Consider a particle moving in o...
 40.40.16: Recall that 0 c0 2 dx is the probability of finding the particle th...
 40.40.17: Repeat Exercise 40.16 for the particle in the first excited level
 40.40.18: (a) Find the excitation energy from the ground level to the third e...
 40.40.19: An electron is in a box of width 3.0 * 1010 m. What are the de Bro...
 40.40.2: When an electron in a onedimensional box makes a transition from th...
 40.40.21: An electron is bound in a square well of depth U0 = 6E1IDW. What i...
 40.40.22: An electron is moving past the square well shown in Fig. 40.13. The...
 40.40.23: An electron is bound in a square well of width 1.50 nm and depth U0...
 40.40.24: An electron is in the ground state of a square well of width L = 4....
 40.40.25: A proton is bound in a square well of width 4.0 fm = 4.0 * 1015 m....
 40.40.26: An electron is bound in a square well that has a depth equal to six...
 40.40.27: (a) An electron with initial kinetic energy 32 eV encounters a squa...
 40.40.28: . Alpha Decay. In a simple model for a radioactive nucleus, an alph...
 40.40.29: An electron with initial kinetic energy 6.0 eV encounters a barrier...
 40.40.3: An electron with initial kinetic energy 5.0 eV encounters a barrier...
 40.40.31: An electron is moving past the square barrier shown in Fig. 40.19, ...
 40.40.32: A proton with initial kinetic energy 50.0 eV encounters a barrier o...
 40.40.33: A wooden block with mass 0.250 kg is oscillating on the end of a sp...
 40.40.34: Show that c1x2 given by Eq. (40.47) is a solution to Eq. (40.44) wi...
 40.40.35: . Chemists use infrared absorption spectra to identify chemicals in...
 40.40.36: A harmonic oscillator absorbs a photon of wavelength 6.35 mm when i...
 40.40.37: The groundstate energy of a harmonic oscillator is 5.60 eV. If the ...
 40.40.38: While undergoing a transition from the n = 1 to the n = 2 energy le...
 40.40.39: . In Section 40.5 it is shown that for the ground level of a harmon...
 40.40.4: For the groundlevel harmonic oscillator wave function c1x2 given in...
 40.40.41: For the sodium atom of Example 40.8, find (a) the groundstate ener...
 40.40.42: Consider the wave packet defined by c1x2 = L q 0 B1k2cos kxdk Let B...
 40.40.43: A particle of mass m in a onedimensional box has the following wav...
 40.40.44: (a) Using the integral in 40.42, determine the wave function c1x2 f...
 40.40.45: Consider a beam of free particles that move with velocity v = p>m i...
 40.40.46: A particle is in the ground level of a box that extends from x = 0 ...
 40.40.47: Photon in a Dye Laser. An electron in a long, organic molecule used...
 40.40.48: Consider a particle in a box with rigid walls at x = 0 and x = L. L...
 40.40.49: Repeat 40.48 for a particle in the first excited level.
 40.40.5: A particle is confined within a box with perfectly rigid walls at x...
 40.40.51: What is the probability of finding a particle in a box of length L ...
 40.40.52: The penetration distance h in a finite potential well is the distan...
 40.40.53: A fellow student proposes that a possible wave function for a free ...
 40.40.54: An electron with initial kinetic energy 5.5 eV encounters a square ...
 40.40.55: (a) For the finite potential well of Fig. 40.13, what relationships...
 40.40.56: A harmonic oscillator consists of a 0.020kg mass on a spring. The ...
 40.40.57: For small amplitudes of oscillation the motion of a pendulum is sim...
 40.40.58: (a) Show by direct substitution in the Schrdinger equation for the ...
 40.40.59: (a) The wave nature of particles results in the quantummechanical ...
 40.40.6: Consider a potential well defined as U1x2 = q for x 6 0, U1x2 = 0 f...
 40.40.61: In your research on new solidstate devices, you are studying a sol...
 40.40.62: As an intern at a research lab, you study the transmission of elect...
 40.40.63: When lowenergy electrons pass through an ionized gas, electrons of...
 40.40.64: The WKB Approximation. It can be a challenge to solve the Schrdinge...
 40.40.65: The WKB approximation (see Challenge 40.64) can be used to calculat...
 40.40.66: Protons, neutrons, and many other particles are made of more fundam...
 40.40.67: According to this model, which statement is true about the energyl...
 40.40.68: When a given dot with side length L makes a transition from its fir...
 40.40.69: Dots that are the same size but made from different materials are c...
 40.40.7: One advantage of the quantum dot is that, compared to many other fl...
Solutions for Chapter 40: Quantum Mechanics I: Wave Functions
Full solutions for University Physics with Modern Physics (1)  14th Edition
ISBN: 9780321973610
Solutions for Chapter 40: Quantum Mechanics I: Wave Functions
Get Full SolutionsChapter 40: Quantum Mechanics I: Wave Functions includes 97 full stepbystep solutions. Since 97 problems in chapter 40: Quantum Mechanics I: Wave Functions have been answered, more than 132535 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: University Physics with Modern Physics (1), edition: 14. This expansive textbook survival guide covers the following chapters and their solutions. University Physics with Modern Physics (1) was written by and is associated to the ISBN: 9780321973610.

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