第四章 Quantum Mechanics of the Hydrogen Atom：Everything can emit the radiation. The idea object to study the radiation is the Black body. The classic physics cannot describe the radiation of black body. Plank found a radiation law which can explain the experiment data very well. The energy of radiation must be quantized in Plank’s radiation Law. Einstein used this concept to explain the photoelectric effect perfectly. Therefore, the light showed the particle-wave duality. De Brogile extended this concept to all microscopic particles and proposed the matter wave. The electron scattering experiment shows that the electron also has the wave properties. The equation of motion of matter wave is the Schrodinger equation. The solution of hydrogen is completely same as the Bohr’s model. The physics quantity is expressed by the operator, whose value is the expectation value of operator.4.1Radiation:The objects with finite temperature emit the radiation.[单选题]The energy quanta of an atomic oscillator that emits and absorbs orange light whose frequency is 5.00 ×1014 Hz is. ( ). 选项:[2.08 eV , 7.13 eV , 12.89 eV, 3.89×10-19 J ]
4.2Blackbody Radiation:The black body is an ideal object to study radiation laws.
4.3Plank's radiation law:Plank gave a radiation law, which can describe the experiment data very well.
4.4Photoelectric Effect:The electron is emitted from the metal when the light is shining it.
4.5Experimentai Results:There several characters in the experimental results of photoelectric effect.
4.6Einstein's Theory:Einstein proposed the photon of light to explain the photoelectric effect.
4.7Wave properties of matter:De Broglie mentioned that the wave-particle duality of microscopic particle.
4.8Bohr's Quantization Condition:The Bohr’s quantization conduction can be explained by the matter wave.
4.9Electron Scatteriong:Davisson and Germer used the diffraction experiment to prove that the electron is wave.
4.10Wave motion:The equation of motion of wave is introduced.
4.11Uncertainty Principle:From the stable of matter wave, the uncertainty principle is understood.
4.12Double-Slit Experiment:The electron double-slit experiment has many strange behaviors comparing with the light double-slit experiment.
4.13Probability and wave Function:Born proposed the statics interpretation about the wave function.
4.14Explanations of Double-Slit Experiment:The electron double-slit experiment is explained with the properties of wave function.
4.15The Schrodinger Wave Equation:The equation of motion of matter wave is Schrödinger Equation
4.16Infinite Square-Well Potential:The infinite square-wall potential can be solved analytically in Schrödinger Equation.
4.17The Schrodinger equation for H:The Schrödinger Equation with Coulomb potential is solved for Hydrogen.
4.18Expectation Values:The observable physical quantity in quantum physics corresponds the expectation value of operator.
4.19Operator:In quantum mechanics, the physical quantity is represented by operator.
4.20Exercise:There are several exercises about the quantum mechanics of hydrogen.
[单选题]The de Broglie wavelengths of a 46 g golf ball with a velocity of 30 m/s is ( )选项:[4.8×10-24 nm , 3.7×10-24
, 4.8×10-34 m, 3.7×10-24 fm ]
[单选题]
选项:[a2 , 0.0251a2, a , 0.0251
]
[单选题]The kinetic energy of a proton whose de Broglie wavelength is 1.0 fm is ( )
选项:[938 MeV
, 347 MeV, 1.555 GeV
, 617 MeV
]
[单选题]The expectation value <x> of the position of a particle trapped in a box L wide of infinite well is ( )
选项:[0
, L2/4, L
, L/2
]
[单选题]Ultraviolet light of wavelength 350 nm and intensity 1.00 W/m2 is directed at a potassium surface. The maximum kinetic energy of the photoelectrons is ( )
选项:[17.6 eV, 3.5 eV, 6.9 eV, 4.42×10-19 J]
[单选题]The experiment that confirms the existence of de Broglie waves is ( ) 选项:[Geiger-Marsden experiment, J. J. Thomson Experiment
, Millikan experiment , Davisson-Germer experiment
]
[单选题]
The average value of 1/r for a 1s electron in the hydrogen atom is ( )
选项:[2/a0
, 1/a0
, 4a0
, 9a0 ]
[单选题]A metal surface illuminated by 8.5×1014 Hz light emits electrons whose maximum energy is 0.52 eV. The same surface illuminated by 12.0×1014 Hz light emits electrons whose maximum energy is 1.97 eV. The work function of the metal is ( B )
选项:[3.0 eV
, 47.5 eV, 12.4 eV
, 7.2 eV ]
[单选题]A measurement establishes the position of a proton with an accuracy of 1.00 Í10-11 m. The uncertainty in the proton’s position 1.00 s later is ( )
选项:[4.26 m
, 93.6 mm, 578 nm
, 3.15 km
]
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