Slides from lecture 4.
... Now put 18 people (electrons) in the auditorium (atom). Note that no two people (electrons) can occupy the same seat (state)! So, when one row is filled, a new row is started. This is a fundamental property of quantum mechanics, i.e., no two electrons in an atom can exist in the same state. It is ca ...
... Now put 18 people (electrons) in the auditorium (atom). Note that no two people (electrons) can occupy the same seat (state)! So, when one row is filled, a new row is started. This is a fundamental property of quantum mechanics, i.e., no two electrons in an atom can exist in the same state. It is ca ...
III. Quantum Model of the Atom
... A. Electrons as Waves Louis de Broglie (1924) Applied wave-particle theory to ee- exhibit wave properties QUANTIZED WAVELENGTHS ...
... A. Electrons as Waves Louis de Broglie (1924) Applied wave-particle theory to ee- exhibit wave properties QUANTIZED WAVELENGTHS ...
Document
... – Possible results of observation  are eigenvalues an – Observation  on a system in eigenstate n certainly leads to an – The mean value of the observable  on the ensemble of systems ...
... – Possible results of observation  are eigenvalues an – Observation  on a system in eigenstate n certainly leads to an – The mean value of the observable  on the ensemble of systems ...
What Could You Do With A Quantum Computer?
... “...trying to find a computer simulation of physics, seems to me to be an excellent program to follow out...and I'm not happy with all the analyses that go with just the classical theory, because nature isn’t classical, dammit, and if you want to make a simulation of nature, you'd better make it qua ...
... “...trying to find a computer simulation of physics, seems to me to be an excellent program to follow out...and I'm not happy with all the analyses that go with just the classical theory, because nature isn’t classical, dammit, and if you want to make a simulation of nature, you'd better make it qua ...
Lecture 2: Operators, Eigenfunctions and the Schrödinger Equation
... for all ψ. If two operators commute, they can be simultaneously determined precisely. You should check that x̂ and p̂x do not commute. In fact, the form of these operators is chosen to satisfy the uncertainty principle. Given an operator Ô, it is possible to find a wavefunction ψ(x) such that Ôψ(x ...
... for all ψ. If two operators commute, they can be simultaneously determined precisely. You should check that x̂ and p̂x do not commute. In fact, the form of these operators is chosen to satisfy the uncertainty principle. Given an operator Ô, it is possible to find a wavefunction ψ(x) such that Ôψ(x ...
The Wigner function and quantum state tomography
... is equal to the statistical distribution of quadrature measurements, is shown in Figure 6a. Note the narrow interference features near θ = π/2, which encode the phase coherence between the two coherent states that make up the Schrödinger cat state. To simulate an experimental reconstruction, we add ...
... is equal to the statistical distribution of quadrature measurements, is shown in Figure 6a. Note the narrow interference features near θ = π/2, which encode the phase coherence between the two coherent states that make up the Schrödinger cat state. To simulate an experimental reconstruction, we add ...
Anharmonic Oscillator
... quantum mechanics in any complete set of basis functions. If we choose a particular basis, the Hamiltonian will not, in general, be diagonal, but the task is to diagonalize it to find the eigenvalues (which are the possible results of a measurement of the energy) and the eigenvectors. The reference ...
... quantum mechanics in any complete set of basis functions. If we choose a particular basis, the Hamiltonian will not, in general, be diagonal, but the task is to diagonalize it to find the eigenvalues (which are the possible results of a measurement of the energy) and the eigenvectors. The reference ...
“Quantum Computing: Dream or Nightmare”, Physics Today, 49, 51
... so difficult to prepare that no one has as yet succeeded. The mere preparation of such a state will be an experimental tour de force, leading to dramatic tests of quantum mechanics. Even if technological progress one day makes such entangled states common in the laboratory, any lapse of our watchdog ...
... so difficult to prepare that no one has as yet succeeded. The mere preparation of such a state will be an experimental tour de force, leading to dramatic tests of quantum mechanics. Even if technological progress one day makes such entangled states common in the laboratory, any lapse of our watchdog ...
qm1 - Michael Nielsen
... How successful is quantum mechanics? It is unbelievably successful. Not just for the small stuff! QM crucial to explain why stars shine, how the Universe formed, and the stability of matter. No deviations from quantum mechanics are known Most physicists believe that any “theory of everything” will ...
... How successful is quantum mechanics? It is unbelievably successful. Not just for the small stuff! QM crucial to explain why stars shine, how the Universe formed, and the stability of matter. No deviations from quantum mechanics are known Most physicists believe that any “theory of everything” will ...
Syllabus
... Assignments will consist mainly (more than 50 %) of problems from the textbook, lecture, GRE tests, and handouts. All tests are scheduled on Thursday. 10 points will be deducted for assignments turned in late and accepted solely if the solutions were not discussed in class. Assignments later than 2 ...
... Assignments will consist mainly (more than 50 %) of problems from the textbook, lecture, GRE tests, and handouts. All tests are scheduled on Thursday. 10 points will be deducted for assignments turned in late and accepted solely if the solutions were not discussed in class. Assignments later than 2 ...
Observables - inst.eecs.berkeley.edu
... An observable is an operator that corresponds to a physical quantity, such as energy, spin, or position, that can be measured; think of a measuring device with a pointer from which you can read off a real number which is the outcome of the measurement. For a k-state quantum system, observables corres ...
... An observable is an operator that corresponds to a physical quantity, such as energy, spin, or position, that can be measured; think of a measuring device with a pointer from which you can read off a real number which is the outcome of the measurement. For a k-state quantum system, observables corres ...
slides
... thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer, for some better qualified system ... with a Ph.D.? If the theory is to apply to anything but highly idealized laboratory operations, are we not obliged to admit that more or less "m ...
... thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer, for some better qualified system ... with a Ph.D.? If the theory is to apply to anything but highly idealized laboratory operations, are we not obliged to admit that more or less "m ...
β - Indico
... Each EPR particle is again pre-and postselected, its own measurement being the post-selection while the other’s measurement is its pre-selection (with the sign inverted)! ...
... Each EPR particle is again pre-and postselected, its own measurement being the post-selection while the other’s measurement is its pre-selection (with the sign inverted)! ...
Lecture 10
... When you get to the p orbitals, place one electron into each orbital before going back and adding the second electron Noble gas shorthand notation can reduce repetition. Write the symbol for a noble gas in brackets and then write the configuation for the ...
... When you get to the p orbitals, place one electron into each orbital before going back and adding the second electron Noble gas shorthand notation can reduce repetition. Write the symbol for a noble gas in brackets and then write the configuation for the ...
2 1 2 3 2 5 2 4 1 2 2 1 1 3 5 4 1 2 2 1 1 4 1 2 2 1 2 2 1 2 1 2 2 2 1 2 1
... The results of the theorem on addition of angular momenta state that when two angular momenta j1 and j2 are added to form the resultant angular momentum j, the eigenvalues of j2 correspond to the quantum numbers j = j1+j2, j1+j21, j1+j22, , |j1j2|+2, |j1j2|+1, | j1j2|. This result may be easil ...
... The results of the theorem on addition of angular momenta state that when two angular momenta j1 and j2 are added to form the resultant angular momentum j, the eigenvalues of j2 correspond to the quantum numbers j = j1+j2, j1+j21, j1+j22, , |j1j2|+2, |j1j2|+1, | j1j2|. This result may be easil ...
PPT
... What is its momentum? The answer is, We don’t know. We can’t predict the result of either measurement with an accuracy better than the Dx and Dp given to us by the uncertainty principle. Each time you look, you find a local blip that is in a different place (in fact, it is your looking that causes ...
... What is its momentum? The answer is, We don’t know. We can’t predict the result of either measurement with an accuracy better than the Dx and Dp given to us by the uncertainty principle. Each time you look, you find a local blip that is in a different place (in fact, it is your looking that causes ...
