Fund Quantum Mechanics Lect & HW Solutions 71

Fund Quantum Mechanics Lect & HW Solutions 71 - −...

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4.5. THE HYDROGEN MOLECULAR ION 53 Answer: On second thought, maybe I can relax. According to the uncertainty relationship, the uncertainties could be as small as, for example, 0.5 10 10 m in position and 10 24 kg m/s for linear momentum. I am not going to miss my exit if I am mistaken by half an ˚ A in where the car really is. Also, 10 24 kg m/s of linear momentum for a 1,100 kg car corresponds to an uncertainty in velocity of 2 10 27 mph. I don’t think the police is going to ticket me for going 2 10
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Unformatted text preview: − 27 mph over the speed limit, since their laser displays do not have the 29 digits required to read oF 75.000,000,000,000,000,000,000,000,002 mph. The requirements of uncertainty that give rise to the very size of the atoms are immeasurably small for the objects that populate the macroscopic world. 4.4.4 Commutator reference 4.5 The Hydrogen Molecular Ion 4.5.1 The Hamiltonian 4.5.2 Energy when fully dissociated 4.5.3 Energy when closer together...
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