Lecture notes 2: Quantum mechanics in a nutshell
... Planetary model of the atom (by Rutherford) gives rise to a paradox: accelerated (v 2 /r) charges should radiate. Hence, orbiting electrons should decay into nucleus. Our very existence proves they do not do. In addition, it is observed that atoms do not radiate radiation at all wavelengths, rather ...
... Planetary model of the atom (by Rutherford) gives rise to a paradox: accelerated (v 2 /r) charges should radiate. Hence, orbiting electrons should decay into nucleus. Our very existence proves they do not do. In addition, it is observed that atoms do not radiate radiation at all wavelengths, rather ...
January 2006
... with a > 0 and α > 0. The wire is rotating about the z axis with a constant, nonzero angular velocity ω, without changing this shape. Earth’s gravity causes a force mg on the bead along the = ẑ direction. a) ...
... with a > 0 and α > 0. The wire is rotating about the z axis with a constant, nonzero angular velocity ω, without changing this shape. Earth’s gravity causes a force mg on the bead along the = ẑ direction. a) ...
Chapter 6: Electronic Structure of Atoms
... Bohr’s model states that specific frequencies of light satisfy the previous equation. Therefor we can state: If nf is smaller than ni, the electron is moving closer to the nucleus and change in energy is negative *indicates a release of energy* This equation can be used to calculate frequency or wav ...
... Bohr’s model states that specific frequencies of light satisfy the previous equation. Therefor we can state: If nf is smaller than ni, the electron is moving closer to the nucleus and change in energy is negative *indicates a release of energy* This equation can be used to calculate frequency or wav ...
1-QM Foundations
... nucleus repelled the electrons but provided a gravitational attraction that induced the electrons to orbit the nucleus like planets around the sun. But Rutherford’s model of electrons as particles orbiting a large nucleus was subject to a fatal problem. If true, classical theory predicted that an at ...
... nucleus repelled the electrons but provided a gravitational attraction that induced the electrons to orbit the nucleus like planets around the sun. But Rutherford’s model of electrons as particles orbiting a large nucleus was subject to a fatal problem. If true, classical theory predicted that an at ...
P. LeClair
... Bohr model, whose size depends on the ground state energy in the Bohr model (E0,Bohr ) relative to the electron’s rest energy (mc2 = 511 keV), or as the square of the fine structure constant. This is essentially where the name “fine structure constant” comes from – it appears when one attempts to in ...
... Bohr model, whose size depends on the ground state energy in the Bohr model (E0,Bohr ) relative to the electron’s rest energy (mc2 = 511 keV), or as the square of the fine structure constant. This is essentially where the name “fine structure constant” comes from – it appears when one attempts to in ...
Quantum Mechanics: PHL555 Tutorial 2
... Is an eigenfunction of L2 ? If so what is its corresponding eigenvalue. If not what are the possible values we shall obtain when we shall measure L2 . (b) What are the probabilities of finding out the particle in various m states? 4. (a) A particle is in a spherically symmetric potential is known ...
... Is an eigenfunction of L2 ? If so what is its corresponding eigenvalue. If not what are the possible values we shall obtain when we shall measure L2 . (b) What are the probabilities of finding out the particle in various m states? 4. (a) A particle is in a spherically symmetric potential is known ...
CHAPTER 4: Structure of the Atom
... electrons by a positive nucleus is discussed in relation to Planck’s theory. It will be shown that it is possible from the point of view taken to account in a simple way for the law of the line spectrum of hydrogen. - Niels Bohr, 1913 ...
... electrons by a positive nucleus is discussed in relation to Planck’s theory. It will be shown that it is possible from the point of view taken to account in a simple way for the law of the line spectrum of hydrogen. - Niels Bohr, 1913 ...
Lecture 16
... Completely solving the problem is simply a matter of equating the wave function and first derivative of the wave function at the potential boundary. More interesting is comparing the probability for a wave to exist as a right moving, transmitted wave, or left moving, reflected, wave after encounteri ...
... Completely solving the problem is simply a matter of equating the wave function and first derivative of the wave function at the potential boundary. More interesting is comparing the probability for a wave to exist as a right moving, transmitted wave, or left moving, reflected, wave after encounteri ...
Quantization of Energy
... application of these two new ideas to light pointed to an interesting possibility: ...
... application of these two new ideas to light pointed to an interesting possibility: ...
a pedagogical / historical introduction (D. Downes)
... A ``photon’’ is not a globule of light, traveling like a bullet through the interferometer. Regard the interferometer as a tuned, (phaselocked) resonant cavity, that allows travelingwave modes. A 1- photon excitation of a mode is distrubuted over the entire interferometer, including the two internal ...
... A ``photon’’ is not a globule of light, traveling like a bullet through the interferometer. Regard the interferometer as a tuned, (phaselocked) resonant cavity, that allows travelingwave modes. A 1- photon excitation of a mode is distrubuted over the entire interferometer, including the two internal ...
quantum mechanics
... The course “Quantum mechanics” consists of two parts, which are given in the spring term of the 3rd year of study and in the autumn term of the 4th year of study. Students are supposed to have taken a basic course in mathematical analysis and mathematical physics equations. Lectures and seminars are ...
... The course “Quantum mechanics” consists of two parts, which are given in the spring term of the 3rd year of study and in the autumn term of the 4th year of study. Students are supposed to have taken a basic course in mathematical analysis and mathematical physics equations. Lectures and seminars are ...
chapter 3
... more open questions: - how can such an atom be stable? electrons in an orbit should radiate off energy as there is centripetal acceleration in circular motion, spiral down and crash into core pretty fast - if two “planetary systems” were to “collide” and to come apart again, two new systems will be ...
... more open questions: - how can such an atom be stable? electrons in an orbit should radiate off energy as there is centripetal acceleration in circular motion, spiral down and crash into core pretty fast - if two “planetary systems” were to “collide” and to come apart again, two new systems will be ...
All transitions ending in the ground state, produce photons in what
... • For a single electron, the wave function is the probability of finding that electron at that point. • Does this mean one could measure the wavefunction, and thus predict the future position, velocity, etc ? • It turns out to be quite the opposite! • Any measurement whatsoever changes the wavefunct ...
... • For a single electron, the wave function is the probability of finding that electron at that point. • Does this mean one could measure the wavefunction, and thus predict the future position, velocity, etc ? • It turns out to be quite the opposite! • Any measurement whatsoever changes the wavefunct ...
Bohr–Einstein debates
The Bohr–Einstein debates were a series of public disputes about quantum mechanics between Albert Einstein and Niels Bohr. Their debates are remembered because of their importance to the philosophy of science. An account of the debates was written by Bohr in an article titled ""Discussions with Einsteinon Epistemological Problems in Atomic Physics"". Despite their differences of opinion regarding quantum mechanics, Bohr and Einstein had a mutual admiration that was to last the rest of their lives.The debates represent one of the highest points of scientific research in the first half of the twentieth century because it called attention to an element of quantum theory, quantum non-locality, which is absolutely central to our modern understanding of the physical world. The consensus view of professional physicists has been that Bohr proved victorious, and definitively established the fundamental probabilistic character of quantum measurement.