Chapter 7 Linear Momentum
... Conservation of energy and momentum can also be used to analyze collisions in two or three dimensions, but unless the situation is very simple, the math quickly becomes unwieldy. Here, a moving object collides with an object initially at rest. Knowing the masses and initial velocities is not enough; ...
... Conservation of energy and momentum can also be used to analyze collisions in two or three dimensions, but unless the situation is very simple, the math quickly becomes unwieldy. Here, a moving object collides with an object initially at rest. Knowing the masses and initial velocities is not enough; ...
NP-complete Problems and Physical Reality
... Nature to try out all 2n possible solutions to an NP-complete problem in parallel? Indeed, many popular articles on quantum computing have given precisely that impression. The trouble is that if we measure the computer’s state, we see only one candidate solution x, with probability depending on its ...
... Nature to try out all 2n possible solutions to an NP-complete problem in parallel? Indeed, many popular articles on quantum computing have given precisely that impression. The trouble is that if we measure the computer’s state, we see only one candidate solution x, with probability depending on its ...
Cooling and Trapping Neutral Atoms
... If a condensate with positive scattering length is moving in free space, the condensate is stable: Atoms cannot elastically scatter into different momentum states and conserve energy and momentum due to the quadratic dispersion relation for free particles. In a one-dimensional optical lattice, even ...
... If a condensate with positive scattering length is moving in free space, the condensate is stable: Atoms cannot elastically scatter into different momentum states and conserve energy and momentum due to the quadratic dispersion relation for free particles. In a one-dimensional optical lattice, even ...
1 Boas, p. 643, problem 13.5-3(b)
... We now have to impose the boundary conditions (2), but first we notice that they have a rotational symmetry around the z axis (that is, there is no θ-dependence): then there will be no θ-dependence in the answer, that is, we have n = 0. For the other boundary conditions, u(a, θ, z) = 0 =⇒ J0 (Ka) = ...
... We now have to impose the boundary conditions (2), but first we notice that they have a rotational symmetry around the z axis (that is, there is no θ-dependence): then there will be no θ-dependence in the answer, that is, we have n = 0. For the other boundary conditions, u(a, θ, z) = 0 =⇒ J0 (Ka) = ...
Deutsch`s Algorithm
... • Computational complexity of DFT: requires N 2 steps • DFTs are important --> a lot of work in optical computing (1950s, 1960s) to do fast DFTs • 1965: Tukey and Cooley invent the Fast Fourier Transform (FFT), requires N logN steps • FFT much faster --> optical computing almost dies overnight ...
... • Computational complexity of DFT: requires N 2 steps • DFTs are important --> a lot of work in optical computing (1950s, 1960s) to do fast DFTs • 1965: Tukey and Cooley invent the Fast Fourier Transform (FFT), requires N logN steps • FFT much faster --> optical computing almost dies overnight ...
Physics through Extra Dimensions: On Dualities, Unification, and Pair Production
... I have been very fortunate and privileged to have had the opportunity to work with and learn from some of the greatest minds of physics today. I am grateful to Professor Edward Witten, my advisor, for stimulating discussions and for his time and dedication. I cherish every moment of our work togethe ...
... I have been very fortunate and privileged to have had the opportunity to work with and learn from some of the greatest minds of physics today. I am grateful to Professor Edward Witten, my advisor, for stimulating discussions and for his time and dedication. I cherish every moment of our work togethe ...
Entanglement Entropy
... its wave function. In this way, we assume it is possible to define the system completely and build the function which represents it. However, this is not always feasible. For instance, in an electron-target scattering experiment we use the electron wave function to compute the cross section of the p ...
... its wave function. In this way, we assume it is possible to define the system completely and build the function which represents it. However, this is not always feasible. For instance, in an electron-target scattering experiment we use the electron wave function to compute the cross section of the p ...
Syllabi of courses taught in English 2004/2005
... 3. Electromagnetic waves, interaction of radiation with matter. Light. 4. Geometrical optics. 5. Wave optics, interference. Special theory of relativity. 6. Particle nature of radiation. Photoelectric effect. Black-body radiation, the Compton effect. 7. Wave-particle nature of matter. De Broglie wav ...
... 3. Electromagnetic waves, interaction of radiation with matter. Light. 4. Geometrical optics. 5. Wave optics, interference. Special theory of relativity. 6. Particle nature of radiation. Photoelectric effect. Black-body radiation, the Compton effect. 7. Wave-particle nature of matter. De Broglie wav ...
Physics - Collegiate Quiz Bowl Packet
... perturbative methods using the vacuum fluctuation and is expanded in powers of the fine structure constant. Currently, theory and experiment agree to a factor of less than one in one billion on—FTP— what quantity, which when multiplied by the Bohr magneton gives the true magnetic moment of the elect ...
... perturbative methods using the vacuum fluctuation and is expanded in powers of the fine structure constant. Currently, theory and experiment agree to a factor of less than one in one billion on—FTP— what quantity, which when multiplied by the Bohr magneton gives the true magnetic moment of the elect ...
Qubits and Quantum Measurement
... this outcome with the particle nature of light appears impossible, and this is the basic dilemma we face. Before proceeding further, let us try to better understand in what sense the outcome of the experiment is inconsistent with the particle nature of light. Clearly, for the photon to be detected a ...
... this outcome with the particle nature of light appears impossible, and this is the basic dilemma we face. Before proceeding further, let us try to better understand in what sense the outcome of the experiment is inconsistent with the particle nature of light. Clearly, for the photon to be detected a ...
