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rigid 7.21 For the ground state of a particle in a have seen that the momentum has a definite magni- tude hk but is equally likely to be in either direction. This means that the uncertainty in p is Ap ~ hk. The uncertainty in position is Ax~ a/2. Verify that these uncertainties are consistent with the Heisenberg uncertainty principle (6.34). malizatio has the va [Hint: U given in SECTION 7.6 (The Rigid Box Again) satisfies 7.22 Prove that the function the equation " = a for any two constants A and B. = Aeax + Be ax (a) W tion 7.30 7.23 We saw that the coefficients A and B in the wave particle probabl of findi and [0. function for a negative-energy state in the rigid box would satisfy have A+B = 0 to and 0. Show that this is possible only if A = B = 0 and hence, that there are no negative- Aead Be aa 11 energy states. 7.31 Ans for the 7.24 Prove that the function =Aelkx + Be ikx satis- 72,1 for any tuIO COnstants A fioc tho aguntion le" 7.32 If a

rigid 7.21 For the ground state of a particle in a have seen that the momentum has a definite magni- tude hk but is equally likely to be in either direction. This means that the uncertainty in p is Ap ~ hk. The uncertainty in position is Ax~ a/2. Verify that these uncertainties are consistent with the Heisenberg uncertainty principle (6.34). malizatio has the va [Hint: U given in SECTION 7.6 (The Rigid Box Again) satisfies 7.22 Prove that the function the equation " = a for any two constants A and B. = Aeax + Be ax (a) W tion 7.30 7.23 We saw that the coefficients A and B in the wave particle probabl of findi and [0. function for a negative-energy state in the rigid box would satisfy have A+B = 0 to and 0. Show that this is possible only if A = B = 0 and hence, that there are no negative- Aead Be aa 11 energy states. 7.31 Ans for the 7.24 Prove that the function =Aelkx + Be ikx satis- 72,1 for any tuIO COnstants A fioc tho aguntion le" 7.32 If a

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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How do I prove that the transition is successful in problem 7.22?

rigid 7.21 For the ground state of a particle in a have seen that the momentum has a definite magni- tude hk but is equally likely to be in either direction. This means that the uncertainty in p is Ap ~ hk. The uncertainty in position is Ax~ a/2. Verify that these uncertainties are consistent with the Heisenberg uncertainty principle (6.34). malizatio has the va [Hint: U given in SECTION 7.6 (The Rigid Box Again) satisfies 7.22 Prove that the function the equation " = a for any two constants A and B. = Aeax + Be ax (a) W tion 7.30 7.23 We saw that the coefficients A and B in the wave particle probabl of findi and [0. function for a negative-energy state in the rigid box would satisfy have A+B = 0 to and 0. Show that this is possible only if A = B = 0 and hence, that there are no negative- Aead Be aa 11 energy states. 7.31 Ans for the 7.24 Prove that the function =Aelkx + Be ikx satis- 72,1 for any tuIO COnstants A fioc tho aguntion le" 7.32 If a
Transcribed Image Text:rigid 7.21 For the ground state of a particle in a have seen that the momentum has a definite magni- tude hk but is equally likely to be in either direction. This means that the uncertainty in p is Ap ~ hk. The uncertainty in position is Ax~ a/2. Verify that these uncertainties are consistent with the Heisenberg uncertainty principle (6.34). malizatio has the va [Hint: U given in SECTION 7.6 (The Rigid Box Again) satisfies 7.22 Prove that the function the equation " = a for any two constants A and B. = Aeax + Be ax (a) W tion 7.30 7.23 We saw that the coefficients A and B in the wave particle probabl of findi and [0. function for a negative-energy state in the rigid box would satisfy have A+B = 0 to and 0. Show that this is possible only if A = B = 0 and hence, that there are no negative- Aead Be aa 11 energy states. 7.31 Ans for the 7.24 Prove that the function =Aelkx + Be ikx satis- 72,1 for any tuIO COnstants A fioc tho aguntion le" 7.32 If a
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