Thermodynamics, Statistical Physics, and Quantum Mechanics

76 5.65 Two-Delta-Function Scattering (Princeton) A freeparticle of mass traveling withmomentum parallel to the scatters off the ...

77 5.68 Rayleigh Scattering (Tennessee) Rayleigh scattering is theelasticscattering ofphotons. Assumethere is a matrix element w ...

78 5.71 Attractive Delta Function in 3D (Princeton) A particle moves in threedimensions. The onlypotential is an attractive delt ...

79 5.74 Electron in Magnetic Field (Stony Brook, Moscow Phys-Tech) An electron is in freespaceexcept for aconstant magnetic fiel ...

80 b) Assuming (same metals)and expressing theprobability amplitudes in the form find thedifferential equations for and c) Show ...

SOLUTIONS ...

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4 Thermodynamics and Statistical Physics Introductory Thermodynamics 4.1 Why Bother? (Moscow Phys-Tech) The physicist isright in ...

84 So, the total energy of thegas does not change. However, the average energy ofeachmoleculedoes, ofcourse, increase, andthat i ...

85 2 km; i.e., However,therewill be no forceacting on the Earth. Thesystem (Earth + surroundingair) is no longer symmetric (see ...

86 heated wall, and cooler atother end(seeProblem4.5). Expanding the temperatureTalong the length of the tanker in aTaylor serie ...

87 The center of mass (inertia) of the gas found with the same accuracy is given by As we have assumedthat the tankerslides onfr ...

88 The forces due to the striking of the molecules on the upper and lower surfaces are, respectively, and (see Figure S.4.5): wh ...

89 4.6 Teacup Engine (Princeton, Moscow Phys-Tech) If the cup were vacuumtight, the number of molecules leaving the surface woul ...

90 During the sublimation of the ice,the acceleration of the astronaut is where corresponds to themomentumtransferred by themole ...

91 The acceleration of gravity (see also Problem 1.10, Part I) where M is the mass of the Moon and is the average density of the ...

92 4.8 Frozen Solid (Moscow Phys-Tech) If the ice does not freeze toofast (which isusually the casewithlakes), we can assume tha ...

93 air molecules isabout Therefore, there are very fewcollisions between themoleculesthattravel from one wall of the thermos to ...

94 So where we used for an estimate the fact thatTdoes not changesignificantly and Then the time for the tea to cool from the in ...

time Since againonlychanges alittle, wehave We may now eliminate from (S.4.10.1),yielding 4.11 Liquid–Solid–Liquid (Moscow Phys- ...