6.5
... if the opening has the same size of the de Bröglie wavelength of the electron, the electron will diffract like waves of wavelength λ diffract when passing an aperture of size similar to λ. ...
... if the opening has the same size of the de Bröglie wavelength of the electron, the electron will diffract like waves of wavelength λ diffract when passing an aperture of size similar to λ. ...
Wednesday, Mar. 26, 2014
... 3) For finite potentials, the wave function and its derivatives must be continuous. This is required because the second-order derivative term in the wave equation must be single valued. (There are exceptions to this rule when V is infinite.) 4) In order to normalize the wave functions, they must app ...
... 3) For finite potentials, the wave function and its derivatives must be continuous. This is required because the second-order derivative term in the wave equation must be single valued. (There are exceptions to this rule when V is infinite.) 4) In order to normalize the wave functions, they must app ...
Topological Coherence and Decoherence
... produced by synthesizing elements from 2 simpler models which are very interesting on their own: the W.A.H. model (non-interacting charged particles moving on a 2-d lattice in a uniform magnetic field), and the ‘Schmid model’ (a particle moving in a periodic potential, coupled to an oscillator bath) ...
... produced by synthesizing elements from 2 simpler models which are very interesting on their own: the W.A.H. model (non-interacting charged particles moving on a 2-d lattice in a uniform magnetic field), and the ‘Schmid model’ (a particle moving in a periodic potential, coupled to an oscillator bath) ...
Many_1 - USU physics
... pointing, spin vectors, and the direction of deflection in each device is determined by the sign of the dot product between the spin vectors and the respective z -axes. Suppose further that particle A deflects up. In this scenario, its spin vector must have been somewhere within the semi-circle abo ...
... pointing, spin vectors, and the direction of deflection in each device is determined by the sign of the dot product between the spin vectors and the respective z -axes. Suppose further that particle A deflects up. In this scenario, its spin vector must have been somewhere within the semi-circle abo ...
Bonding 1 - Department of Chemistry
... (i) No electrons are ejected, regardless of the intensity of the radiation, unless its frequency exceeds a threshold value characteristic of the metal. (ii) The kinetic energy of the electron increases linearly with the frequency of the incident radiation but is independent of the intensity of the ...
... (i) No electrons are ejected, regardless of the intensity of the radiation, unless its frequency exceeds a threshold value characteristic of the metal. (ii) The kinetic energy of the electron increases linearly with the frequency of the incident radiation but is independent of the intensity of the ...
The Learnability of Quantum States
... (i) 1,…,k are uniformly random, or (ii) there’s a partition [n]=AB, |A|=|B| such that the i’s map A to A and B to B but are otherwise random. ...
... (i) 1,…,k are uniformly random, or (ii) there’s a partition [n]=AB, |A|=|B| such that the i’s map A to A and B to B but are otherwise random. ...
Slides
... If a circuit U generates a quantum state whose energy is at most c U has depth at least Ω(log(# qubits)). ...
... If a circuit U generates a quantum state whose energy is at most c U has depth at least Ω(log(# qubits)). ...
Notes #2 Chem 341
... Quantum Mechanics - predicts the properties of small microscopic systems such as atoms and molecules. This was necessary as Classical Mechanics does not appear to apply to these systems. We’ve seen that changing the composition can change the chemical properties. Think of the change that occurs to c ...
... Quantum Mechanics - predicts the properties of small microscopic systems such as atoms and molecules. This was necessary as Classical Mechanics does not appear to apply to these systems. We’ve seen that changing the composition can change the chemical properties. Think of the change that occurs to c ...
Introductory quantum mechanics
... We wish to answer the following questions: Where is exactly the particle located within Dx? the locality of a particle becomes fuzzy when it’s represented by its matter wave. We can no more tell for sure where it is exactly located. Recall that in the case of conventional wave physics, |field ampl ...
... We wish to answer the following questions: Where is exactly the particle located within Dx? the locality of a particle becomes fuzzy when it’s represented by its matter wave. We can no more tell for sure where it is exactly located. Recall that in the case of conventional wave physics, |field ampl ...
Physics 30 Lesson 34 – Quantum Mechanics
... phenomena. However, by adding several other quantum numbers to describe fine differences in energy and the effects of magnetic fields, Bohr’s model was modified to fit what had been observed. But in the end a different approach to the problem was required. Two people attempted to solve the problem, ...
... phenomena. However, by adding several other quantum numbers to describe fine differences in energy and the effects of magnetic fields, Bohr’s model was modified to fit what had been observed. But in the end a different approach to the problem was required. Two people attempted to solve the problem, ...
Mutually exclusive and exhaustive quantum states
... be true) and exhaustive (one of the propositions is certainly true). Such a set of mutually exclusive and exhaustive propositions has sometimes been called a logical spectrum, and we shall, for brevity, adopt that terminology. I1) Suppose now that we confront in a physical laboratory a complex syste ...
... be true) and exhaustive (one of the propositions is certainly true). Such a set of mutually exclusive and exhaustive propositions has sometimes been called a logical spectrum, and we shall, for brevity, adopt that terminology. I1) Suppose now that we confront in a physical laboratory a complex syste ...
Physics 30 Lesson 34 – Quantum Mechanics
... phenomena. However, by adding several other quantum numbers to describe fine differences in energy and the effects of magnetic fields, Bohr’s model was modified to fit what had been observed. But in the end a different approach to the problem was required. Two people attempted to solve the problem, ...
... phenomena. However, by adding several other quantum numbers to describe fine differences in energy and the effects of magnetic fields, Bohr’s model was modified to fit what had been observed. But in the end a different approach to the problem was required. Two people attempted to solve the problem, ...
Transparencies
... Page and Wooters proposed to treat all variables quantum mechanically and use one of them as a clock as long as it behaves semi-classically. However, in standard canonical quantum gravity and other totally constrained systems the idea runs into problems. The clock variable must change during evoluti ...
... Page and Wooters proposed to treat all variables quantum mechanically and use one of them as a clock as long as it behaves semi-classically. However, in standard canonical quantum gravity and other totally constrained systems the idea runs into problems. The clock variable must change during evoluti ...
... to the orbit types of the group action, the manifold is stratified into different strata. Mechanics will be set up on each stratum and then reduced by symmetry. We apply this idea, taking M and G as the center-of-mass system for N bodies and the rotation group SO(3), respectively. The center-of-mass ...
Majorana and the path-integral approach to Quantum Mechanics
... always referred to the same initial time (ta ), while the determined quantum state corresponds to a fixed end time (tb ). The introduced issue of “slightly different classical motions” (the emphasis is given by Majorana himself), according to what specified by the Heisenberg’s uncertainty principle ...
... always referred to the same initial time (ta ), while the determined quantum state corresponds to a fixed end time (tb ). The introduced issue of “slightly different classical motions” (the emphasis is given by Majorana himself), according to what specified by the Heisenberg’s uncertainty principle ...
Thermal Physics PH2001
... N indistinguishable atoms • 2nd stage N indistinguishable particles in the box that do not interact with each other the system energy is the sum of their individual energies. • The partition function is the sum of the Boltzmann factors over every possible state of the system (as always - this isn't ...
... N indistinguishable atoms • 2nd stage N indistinguishable particles in the box that do not interact with each other the system energy is the sum of their individual energies. • The partition function is the sum of the Boltzmann factors over every possible state of the system (as always - this isn't ...
ThesisPresentation
... According to Ehrenfest’s theorem, the expectation value of the energy should show the same behavior as its classical equivalent. We calculate the average energy as ...
... According to Ehrenfest’s theorem, the expectation value of the energy should show the same behavior as its classical equivalent. We calculate the average energy as ...
Atomic Structure Lecture 7 - Introduction Lecture 7
... The wave function, !, is also called an atomic orbital. • There is a different wave function for each of the different energy states that an electron can have in an atom While the wave function, !, has no physical meaning, the square of the wave function, !2, is does. • !2 is called the probability ...
... The wave function, !, is also called an atomic orbital. • There is a different wave function for each of the different energy states that an electron can have in an atom While the wave function, !, has no physical meaning, the square of the wave function, !2, is does. • !2 is called the probability ...
Lab Report 3 - The Institute of Optics
... mechanics, and the press for quantum information and communication. Quantum entanglement is a phenomenon that says if two particles interact with each and either particle remains unmeasured, that these two particles can become correlated in a sense that their fates are intertwined forever. Mathemati ...
... mechanics, and the press for quantum information and communication. Quantum entanglement is a phenomenon that says if two particles interact with each and either particle remains unmeasured, that these two particles can become correlated in a sense that their fates are intertwined forever. Mathemati ...
Relativistic quantum field theory Nobel Lecture, December 11, 1965
... of the system, not the outcome of an individual microscopic observation, that is predictable from knowledge of the state. But both theories are causal - a knowledge of the state at one time implies knowledge of the state at a later time. A quantum state is specified by particular values of an optimu ...
... of the system, not the outcome of an individual microscopic observation, that is predictable from knowledge of the state. But both theories are causal - a knowledge of the state at one time implies knowledge of the state at a later time. A quantum state is specified by particular values of an optimu ...