14 - University of Utah Physics
... One of the strange features of quantum mechanics is that the behavior that something exhibits can depend on what we try to find out about it. Thus, an electron can behave like a particle or like a wave, depending on which experimental setup we subject it to. For example, in some situations particlel ...
... One of the strange features of quantum mechanics is that the behavior that something exhibits can depend on what we try to find out about it. Thus, an electron can behave like a particle or like a wave, depending on which experimental setup we subject it to. For example, in some situations particlel ...
Exercise 1, from the final exam in AST4220, 2005 Exercise 2
... The wave function of the Universe gives the probability density for observing different metrics. If we restrict the space of possible metrics to those of the Robertson-Walker form with a given spatial curvature k, the wave function gives the probability amplitude for observing the Universe in a stat ...
... The wave function of the Universe gives the probability density for observing different metrics. If we restrict the space of possible metrics to those of the Robertson-Walker form with a given spatial curvature k, the wave function gives the probability amplitude for observing the Universe in a stat ...
Theoretical Nonlinear and Quantum Optics Ray
... Ray-Kuang Lee Department of Physics, National TsingHua University, Hsinchu, Taiwan Institute of Photonics Technologies, National TsingHua University, Hsinchu, Taiwan * [email protected] Counter-intuitive pictures of waves are predicted both in the classical and quantum worlds. In contrast to the ...
... Ray-Kuang Lee Department of Physics, National TsingHua University, Hsinchu, Taiwan Institute of Photonics Technologies, National TsingHua University, Hsinchu, Taiwan * [email protected] Counter-intuitive pictures of waves are predicted both in the classical and quantum worlds. In contrast to the ...
PHY 855 - Quantum Field Theory Course description :
... (a ) Calculate 〈 t | x | t 〉 = A cos ωt . (Determine A.) (b ) Calculate 〈 t | x2 | t 〉; and show that the uncertainty of x is small in the classical limit. (c ) Calculate 〈 t | H | t 〉. Compare the result to the classical energy. Hint: |t> is an eigenstate of a. ...
... (a ) Calculate 〈 t | x | t 〉 = A cos ωt . (Determine A.) (b ) Calculate 〈 t | x2 | t 〉; and show that the uncertainty of x is small in the classical limit. (c ) Calculate 〈 t | H | t 〉. Compare the result to the classical energy. Hint: |t> is an eigenstate of a. ...
The Future of Computer Science
... seem useful for anything (e.g. breaking codes), but does seem hard to simulate using classical computers (We showed that a fast, exact classical simulation would “collapse the polynomial hierarchy to the third level”) ...
... seem useful for anything (e.g. breaking codes), but does seem hard to simulate using classical computers (We showed that a fast, exact classical simulation would “collapse the polynomial hierarchy to the third level”) ...
|ket> and notation
... to one composed of wavefunctions. Instead of describing a physical system with coordinates and momenta, x and p (Dirac called them c-numbers), the quantum mechanical description is based on operators x and p (q-numbers) that operate on a wavefunction ψ. The wave function can be a function of coordin ...
... to one composed of wavefunctions. Instead of describing a physical system with coordinates and momenta, x and p (Dirac called them c-numbers), the quantum mechanical description is based on operators x and p (q-numbers) that operate on a wavefunction ψ. The wave function can be a function of coordin ...
The Weirdness of Quantum Mechanics
... The EPR paper asked the question “what does it mean for a theory to be complete”? Elements of Reality A. Einstein, B. Podolsky, N. Rosen. Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? ...
... The EPR paper asked the question “what does it mean for a theory to be complete”? Elements of Reality A. Einstein, B. Podolsky, N. Rosen. Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? ...
The variational principle and simple properties of the ground
... Here we propose a simple way to illustrate the power of the variational principle by deriving some general properties of the ground-state wave function of a one-body Hamiltonian corresponding to a particle with no internal degrees of freedom and moving in a field defined by a potential V(r). In part ...
... Here we propose a simple way to illustrate the power of the variational principle by deriving some general properties of the ground-state wave function of a one-body Hamiltonian corresponding to a particle with no internal degrees of freedom and moving in a field defined by a potential V(r). In part ...
Chapter 3 Wave Properties of Particles Overview
... If matter has a wavelength, there must be some function–a “wave function”—which describes the wave nature of the matter in question. Do you think that if we could somehow find out what this wave function is, and what mathematical laws it obeys, then maybe we could learn something about the matter t ...
... If matter has a wavelength, there must be some function–a “wave function”—which describes the wave nature of the matter in question. Do you think that if we could somehow find out what this wave function is, and what mathematical laws it obeys, then maybe we could learn something about the matter t ...
SG2 Atoms and Atomic Structure
... f) Discovery of isotopes and what they are g) Calculate average atomic mass of an element from mass number & fractional abundance of isotopes. h) Estimate fractional abundances of isotopes, given their mass numbers 4) Explain the development of Bohr’s quantum atomic model a) Understand the relation ...
... f) Discovery of isotopes and what they are g) Calculate average atomic mass of an element from mass number & fractional abundance of isotopes. h) Estimate fractional abundances of isotopes, given their mass numbers 4) Explain the development of Bohr’s quantum atomic model a) Understand the relation ...
Planck-Einstein relation, Time Dep. Schrodinger Eq., Po
... frequency and h̄ = h/2π, with h the fundamental Planck constant. So lets choose our operator ∆ to correspond to energy divided by h̄. Now we know that in classical mechanics that the energy is given by the Hamiltonian operator H = KE + PE and that this operator generates the time evolution. So in a ...
... frequency and h̄ = h/2π, with h the fundamental Planck constant. So lets choose our operator ∆ to correspond to energy divided by h̄. Now we know that in classical mechanics that the energy is given by the Hamiltonian operator H = KE + PE and that this operator generates the time evolution. So in a ...
Sample pages 2 PDF
... trapped inside a specimen bottle. He was unable to concentrate on anything. A friend recommended Helgoland, a barren grassless island off the northern coast of Germany. The air there was the purest in Europe, there were few pollen-producing plants, and the growing season occurred several months late ...
... trapped inside a specimen bottle. He was unable to concentrate on anything. A friend recommended Helgoland, a barren grassless island off the northern coast of Germany. The air there was the purest in Europe, there were few pollen-producing plants, and the growing season occurred several months late ...
Discrete-continuous and classical-quantum
... precise line spectra and only Quantum Mechanics can explain this phenomenon. In fact the birth of quantum physics involves more discretization than discretness : in the famous Max Planck’s paper of 1900, and even more explicitly in the 1905 paper by Einstein about the photo-electric effect, what is ...
... precise line spectra and only Quantum Mechanics can explain this phenomenon. In fact the birth of quantum physics involves more discretization than discretness : in the famous Max Planck’s paper of 1900, and even more explicitly in the 1905 paper by Einstein about the photo-electric effect, what is ...
File
... page 15) and at http://physicsweb.org/ (readers voted the double-slit experiment “the most beautiful in physics”). 2222 Quantum Physics 2007-8 ...
... page 15) and at http://physicsweb.org/ (readers voted the double-slit experiment “the most beautiful in physics”). 2222 Quantum Physics 2007-8 ...