Notes for Lecture 2 Miller Indices, Quantum Mechanics
... To understand this figure, imagine that the wave of an electron in a hydrogen atom is like a wave of a guitar string. Except that the guitar string is a circular string. Imagine that you pick one part of the string (S in the figure). When you do that, a wave propagates in two directions (the red dir ...
... To understand this figure, imagine that the wave of an electron in a hydrogen atom is like a wave of a guitar string. Except that the guitar string is a circular string. Imagine that you pick one part of the string (S in the figure). When you do that, a wave propagates in two directions (the red dir ...
Review
... ! Sub-atomic processes can produce electromagnetic waves such as gamma rays, X-rays, and light ...
... ! Sub-atomic processes can produce electromagnetic waves such as gamma rays, X-rays, and light ...
Fermi-Dirac Statistics
... number approaching zero, which is equivalent to multiplying by infinity. Thus if E-EF is less than zero, the exponential is zero, and f(E)=1, while if E-EF is greater than zero, then then exponential is infinity, and f(E)=0. At the transition temperature the Fermi-Dirac function has a width of order ...
... number approaching zero, which is equivalent to multiplying by infinity. Thus if E-EF is less than zero, the exponential is zero, and f(E)=1, while if E-EF is greater than zero, then then exponential is infinity, and f(E)=0. At the transition temperature the Fermi-Dirac function has a width of order ...
Lecture notes, part 1
... velocity, (ii) magnetic forces → forces depend on velocity. Photons Planck (1900): “blackbody” radiation Einstein (1905): photoelectric effect Light (electromagnetic radiation) behaves like a field of particles called “photons,” each with energy E = hν From electromagnetic theory, the momentum shoul ...
... velocity, (ii) magnetic forces → forces depend on velocity. Photons Planck (1900): “blackbody” radiation Einstein (1905): photoelectric effect Light (electromagnetic radiation) behaves like a field of particles called “photons,” each with energy E = hν From electromagnetic theory, the momentum shoul ...
Wave-mechanical Model for Chemistry (Reprint: To be published in
... The total energy of the electron is specified by the principal quantum number, E ∝ −1/n2 . As mentioned before, the angle-dependant Y (θ, ϕ) are the Laplacian surface harmonics. In wave-mechanical practice they are interpreted as angular-momentum eigenfunctions. This interpretation had clearly been ...
... The total energy of the electron is specified by the principal quantum number, E ∝ −1/n2 . As mentioned before, the angle-dependant Y (θ, ϕ) are the Laplacian surface harmonics. In wave-mechanical practice they are interpreted as angular-momentum eigenfunctions. This interpretation had clearly been ...
Principles of Computer Architecture Dr. Mike Frank
... object would become imaginary numbers! – What would that mean? ...
... object would become imaginary numbers! – What would that mean? ...
Ch. 35
... i = r •We assume the mirror is infinitely large •If the wavelength is sufficiently tiny compared to objects, this might be a good approximation i r •For the next week, we will always make this approximation Mirror •It’s called geometric optics •In geometric optics, light waves are represented by ...
... i = r •We assume the mirror is infinitely large •If the wavelength is sufficiently tiny compared to objects, this might be a good approximation i r •For the next week, we will always make this approximation Mirror •It’s called geometric optics •In geometric optics, light waves are represented by ...
Waves What happens ? What happens if we continue to move hand
... 2. Frequency f is a “property” of the source. 3. Wave speed is a “property” of the medium. 4. Every point perturbed by the wave becomes a source for further wave 5. All perturbations that we discuss are linear. Therefore, we have the superposition principle. Wave properties or features as interferen ...
... 2. Frequency f is a “property” of the source. 3. Wave speed is a “property” of the medium. 4. Every point perturbed by the wave becomes a source for further wave 5. All perturbations that we discuss are linear. Therefore, we have the superposition principle. Wave properties or features as interferen ...
with x
... A cat is placed in a closed box. Inside the box a radioactive source is placed in which on average once per hour a radioactive decay takes place. If the decay takes place, a bottle of poison breaks, killing the cat. In quantum-physical sense, the cat is 50% dead and 50% alive after half an hour. Sin ...
... A cat is placed in a closed box. Inside the box a radioactive source is placed in which on average once per hour a radioactive decay takes place. If the decay takes place, a bottle of poison breaks, killing the cat. In quantum-physical sense, the cat is 50% dead and 50% alive after half an hour. Sin ...
(8.04) Spring 2005 Solutions to Problem Set 1
... Therefore, at a given power, for every X-ray photon, there are about 1011 radiofrequency photons. Assume that a relaxation time of a photon detector is about 1 ps (10−12 s). Our detector can detect a single photon if it arrives at the detector at a rate of 1 photon per 1 ps. This time scale determi ...
... Therefore, at a given power, for every X-ray photon, there are about 1011 radiofrequency photons. Assume that a relaxation time of a photon detector is about 1 ps (10−12 s). Our detector can detect a single photon if it arrives at the detector at a rate of 1 photon per 1 ps. This time scale determi ...
Physics IV - Script of the Lecture Prof. Simon Lilly Notes from:
... The electrons hit the detector with a statistical distribution, so we observe a diffraction pattern in the locations of the detected electrons. This implies wave properties through the slits. We could ask, whether we can tell which slit the electron passed through and indeed we can quite easily, but ...
... The electrons hit the detector with a statistical distribution, so we observe a diffraction pattern in the locations of the detected electrons. This implies wave properties through the slits. We could ask, whether we can tell which slit the electron passed through and indeed we can quite easily, but ...
The Paradoxes of Quantum Mechanics
... attributes seem completely incompatible. For one thing a particle occupies a point in space, whereas a wave must be spread out over a region of space that at least is larger than its wavelength. The standard answer is that light is either wave-like or particle-like depending on what measurements we ...
... attributes seem completely incompatible. For one thing a particle occupies a point in space, whereas a wave must be spread out over a region of space that at least is larger than its wavelength. The standard answer is that light is either wave-like or particle-like depending on what measurements we ...
PART II.a – Physical chemistry Problem 1
... In the quantum world all systems are described with discrete energy states and no continuous energy spectrum can be obtained. If we want to describe motion of particle it can be described either as free particle, particle in one‐, two‐ and three‐ dimensional box depending on the dimensions in whic ...
... In the quantum world all systems are described with discrete energy states and no continuous energy spectrum can be obtained. If we want to describe motion of particle it can be described either as free particle, particle in one‐, two‐ and three‐ dimensional box depending on the dimensions in whic ...
poster - University of Colorado Boulder
... •A large number of simulations exist and are being used in introductory physics courses around the country •Can be used in lecture demonstrations, recitation activities, or ...
... •A large number of simulations exist and are being used in introductory physics courses around the country •Can be used in lecture demonstrations, recitation activities, or ...
The variational principle and simple properties of the ground
... can be taken to be real and non-negative, and that it cannot be degenerate. Other consequences for the angular momentum and the parity of the ground state are also presented. There is a vast literature on the properties of the groundstate wave function for very general potentials. For the simple cas ...
... can be taken to be real and non-negative, and that it cannot be degenerate. Other consequences for the angular momentum and the parity of the ground state are also presented. There is a vast literature on the properties of the groundstate wave function for very general potentials. For the simple cas ...
The" fingers" of the physics
... Ahlen wrote that this kind of approach may still be satisfactory, if it is used in energy intervals where polarization effects are not prevalent [27]. Between the macroscopic effect and the microscopic one, another way has to be signaled; it was followed by Aage Bohr to try and evaluate the relativi ...
... Ahlen wrote that this kind of approach may still be satisfactory, if it is used in energy intervals where polarization effects are not prevalent [27]. Between the macroscopic effect and the microscopic one, another way has to be signaled; it was followed by Aage Bohr to try and evaluate the relativi ...
1. Wave Packet and Heisenberg Uncertainty Relations En
... their definitions, k and κ are real numbers. Therefore, only solutions A and D satisfy the condition that R = 1. For a barrier of a finite width, the particle can always penetrate slightly into the barrier causing a phase shift of the reflected wave. Hence, option D cannot be the correct solution an ...
... their definitions, k and κ are real numbers. Therefore, only solutions A and D satisfy the condition that R = 1. For a barrier of a finite width, the particle can always penetrate slightly into the barrier causing a phase shift of the reflected wave. Hence, option D cannot be the correct solution an ...
Problem set 1 - MIT OpenCourseWare
... a) A nuclear reactor produces fast neutrons (with energy ∼ 1MeV) which are then slowed down to thermal neutrons (with energy of order E ∼ 0.025eV, comparable to their thermal energy at room temperature). In research reactors, both types of neutrons could be selected to exit through a port and used i ...
... a) A nuclear reactor produces fast neutrons (with energy ∼ 1MeV) which are then slowed down to thermal neutrons (with energy of order E ∼ 0.025eV, comparable to their thermal energy at room temperature). In research reactors, both types of neutrons could be selected to exit through a port and used i ...
Electrons in Atoms
... electromagnetic radiation. Other examples include X rays, radio waves, and microwaves. All waves can be characterized by their wavelength, amplitude, frequency, and . The shortest distance between equivalent points on a continuous wave is ...
... electromagnetic radiation. Other examples include X rays, radio waves, and microwaves. All waves can be characterized by their wavelength, amplitude, frequency, and . The shortest distance between equivalent points on a continuous wave is ...
CHAPTER 6: Quantum Mechanics II
... According to quantum mechanics, reflection and transmission may occur, but the wavelength inside the potential well is smaller than outside. When the width of the potential well is precisely equal to half-integral or integral units of the wavelength, the reflected waves may be out of phase or in pha ...
... According to quantum mechanics, reflection and transmission may occur, but the wavelength inside the potential well is smaller than outside. When the width of the potential well is precisely equal to half-integral or integral units of the wavelength, the reflected waves may be out of phase or in pha ...