Wave Functions - Quantum Theory Group at CMU
... function of position r. Again in the interests of simplicity we will consider a quantum particle moving in one dimension, so that its wave function ψ(x) depends on only a single variable, the position x. Some examples of real-valued wave functions, which can be sketched as simple graphs, are shown i ...
... function of position r. Again in the interests of simplicity we will consider a quantum particle moving in one dimension, so that its wave function ψ(x) depends on only a single variable, the position x. Some examples of real-valued wave functions, which can be sketched as simple graphs, are shown i ...
Chapter 11 Coordination Chemistry III: Electronic Spectra
... The spin multiplicity is the same as the # of microstates. Each terms has different energies; they represent three states with different degrees of electron-electron interactions. Which term has the lowest energy. This can be done by using two of Hund’s rules. 1. The ground term (term of lowest ener ...
... The spin multiplicity is the same as the # of microstates. Each terms has different energies; they represent three states with different degrees of electron-electron interactions. Which term has the lowest energy. This can be done by using two of Hund’s rules. 1. The ground term (term of lowest ener ...
Quantum numbers for relative ground states of antiferromagnetic
... a weaker statement than k-rule 1, namely k-rule 3 If there are relative ground states of H with ...
... a weaker statement than k-rule 1, namely k-rule 3 If there are relative ground states of H with ...
Lecture 10 Example: Particle in a box
... oscillators for n = 0 have almost opposite shapes and very different behavior. Next, we compare the classical and quantum oscillators for n = 2 (top right panel in Figure 4). Note that the probability density for the quantum oscillator now has three peaks. In general, the quantum probability density ...
... oscillators for n = 0 have almost opposite shapes and very different behavior. Next, we compare the classical and quantum oscillators for n = 2 (top right panel in Figure 4). Note that the probability density for the quantum oscillator now has three peaks. In general, the quantum probability density ...
PowerPoint - Boston University Physics
... It is not possible to define a local phase and a local phase gradient. Classical picture and equations of motion are not valid. Need to coarse grain the system. ...
... It is not possible to define a local phase and a local phase gradient. Classical picture and equations of motion are not valid. Need to coarse grain the system. ...
Black hole fireworks: quantum-gravity effects outside the horizon
... If a is precisely at 2m, the waiting time for the light to come out becomes infinite. What happens is of course that the shell is now so compressed that it generates enough force of gravity to keep the light in. According to classical general relativity, the light remains trapped forever and a singu ...
... If a is precisely at 2m, the waiting time for the light to come out becomes infinite. What happens is of course that the shell is now so compressed that it generates enough force of gravity to keep the light in. According to classical general relativity, the light remains trapped forever and a singu ...
Black hole fireworks: quantum-gravity effects outside the horizon
... If a is precisely at 2m, the waiting time for the light to come out becomes infinite. What happens is of course that the shell is now so compressed that it generates enough force of gravity to keep the light in. According to classical general relativity, the light remains trapped forever and a singu ...
... If a is precisely at 2m, the waiting time for the light to come out becomes infinite. What happens is of course that the shell is now so compressed that it generates enough force of gravity to keep the light in. According to classical general relativity, the light remains trapped forever and a singu ...
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 ...
Electronic Structure of Strained GaSb/GaAs Quantum Dot
... technological applications in optoelectronic devices, such as Quantum Dot lasers. The strong localization of the electronic wave function in the quantum dots leads to an atomic-like electronic structure and to the possibility of novel and improved photonic and electronic devices. In particular, type ...
... technological applications in optoelectronic devices, such as Quantum Dot lasers. The strong localization of the electronic wave function in the quantum dots leads to an atomic-like electronic structure and to the possibility of novel and improved photonic and electronic devices. In particular, type ...
What is a quantum simulator?
... device would make for a better mimic of some models than a classical device is commonly attributed to Feynman in 1982 [46]. He noted that calculating properties of an arbitrary quantum model on a classical device is a seemingly very inefficient thing to do (taking a time that scales exponentially wi ...
... device would make for a better mimic of some models than a classical device is commonly attributed to Feynman in 1982 [46]. He noted that calculating properties of an arbitrary quantum model on a classical device is a seemingly very inefficient thing to do (taking a time that scales exponentially wi ...
Exactly solvable quantum few-body systems associated with the
... boundary conditions, irrespectively of whether it has a particle analogue or not [1, 2, 9–14]. Regretfully, the above scheme does not allow for any extension to the case of finite strength interactions, if one requires the interactions be both of a two-body nature and act only on a contact. The phys ...
... boundary conditions, irrespectively of whether it has a particle analogue or not [1, 2, 9–14]. Regretfully, the above scheme does not allow for any extension to the case of finite strength interactions, if one requires the interactions be both of a two-body nature and act only on a contact. The phys ...
QUANTUM SUPERPOSITION PRINCIPLE
... 第一次测量值 C 绑定在一起呢? Evidently the first measurement radically alters the wave function, so that it is now sharply peaked about C. The wave function collapses upon measurement (but soon spreads out again, following the Schrödinger equation, so the second measurement must be made quickly). ...
... 第一次测量值 C 绑定在一起呢? Evidently the first measurement radically alters the wave function, so that it is now sharply peaked about C. The wave function collapses upon measurement (but soon spreads out again, following the Schrödinger equation, so the second measurement must be made quickly). ...
UNITEL_9 - StealthSkater
... naked singularity could amplify this potential allowing for astronomical distances to be traveled in short time. ______________________________________________________________________________________ The ‘EPR effect’ is also known as “spooky-action-at-a-distance” as it allows for one quantum system ...
... naked singularity could amplify this potential allowing for astronomical distances to be traveled in short time. ______________________________________________________________________________________ The ‘EPR effect’ is also known as “spooky-action-at-a-distance” as it allows for one quantum system ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).