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Fermionic quantum criticality and the fractal nodal surface
Fermionic quantum criticality and the fractal nodal surface

... Bose statistics) moves through liquid with momentum Naive ansatz wave function: Moving particle pushes away 4He atoms, variational ansatz wave function: ...
Kondo, Fano and Dicke effects in side quantum dots
Kondo, Fano and Dicke effects in side quantum dots

... As we work at zero temperature, the bosons operators expectation values and the Lagrande multipliers are determined by minimizing the energy with respect to these quantities. It is obtained in this way, a set of nonlinear equations for each quantum dot, relating the expectation values for fou ...
Improper Schrodinger Equation and Dirac Equation
Improper Schrodinger Equation and Dirac Equation

Classical analogy of Fano resonances
Classical analogy of Fano resonances

... The location of the resonant peaks corresponds to the real parts of the complex eigen-frequencies, ω̃1 and ω̃2 , which are determined from the vanishing condition of the denominator of equations (13) and (14). The imaginary part of the eigenfrequency specifies the width of the resonance, so as the s ...
et al.
et al.

... “1D DOS singularity” and/or “Fermi edge singularity” would appear. ...
Properties of the Von Neumann entropy
Properties of the Von Neumann entropy

... The message can be compressed to a Hilbert space of nS(ρ) dimensions, without decreasing the fidelity of the message. So the Von Neumann entropy can be seen as the number of qubits of quantum information carried per letter by the message. Analogous to the classical case, when ρ = 1 2 1, the (complet ...
The Essentials of Quantum Mechanics
The Essentials of Quantum Mechanics

... exact, sharply defined momentum at all times. Quantum mechanics is a different fundamental formalism, in which observables such as position and momentum are not real numbers but operators; consequently there are uncertainty relations, e.g. ∆x ∆p & ~, which say that as some observables become more sh ...
Quantum Mechanics - Home Page for Richard Fitzpatrick
Quantum Mechanics - Home Page for Richard Fitzpatrick

Condensed states of excited cesium atoms
Condensed states of excited cesium atoms

... excited atom o r molecule falls off as r - ' at sufficiently large distances. "Sufficiently large" distances are much greater than the size of the atomic or molecular core. A highly excited electron spends most of its time far from the core ( r a n 2 ) , where the wave functions can be described fai ...
chapter3_finalv
chapter3_finalv

school_ksengupta_1
school_ksengupta_1

... Another interpretation: Laplace transform of work distribution Consider the work done WN for a system of size N when one of its Hamiltonian parameter is quenched from g0 to g Define the moment generating function of WN One can think of G(s) as the partition function of a classical (d+1)-dimensional ...
metal
metal

... Difficulties: In correlated electrons, charge excitation = many-body excitation one body picture is insufficient ...
Basic Atomic Physics
Basic Atomic Physics

... process does not depend on any particular direction of the motion of the atom, restoring the lost evaporation efficiency. Implementing RF evaporation in our low temperature apparatus required developing a non-metallic trapping cell compatible with the cryogenic environment.8 Thermal conductivity of ...
Part (a): Matrix Elements
Part (a): Matrix Elements

... respectively, and the center of mass energy s = 4E 2 . There are two distinguisable polarization vectors for each photon, namely µ (1) = (0, 1, i, 0) µ (2) = (0, 1, −i, 0) . In order to compute the sum, I will complete the sum for one outgoing photon and then generalize to N outgoing photons. For ...
Feasible Nanometric Magnetoresistance Devices
Feasible Nanometric Magnetoresistance Devices

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... a  particle which is not its own antiparticle, eg   , K  ,  ˆ ˆ | a  C C | a   C C  1 (7.20) Cˆ | a  Ca | a  ; Cˆ | a  Ca | a   CC a a a a C =C -parity is a useful quantum number for particles which are their own antiparticles and are eigenstates of Cˆ , eg  0 ,  , . Can also b ...
The Weirdness of Quantum Mechanics
The Weirdness of Quantum Mechanics

Size-dependent properties of CdSe quantum dots
Size-dependent properties of CdSe quantum dots

... surfaces of semiconductors, the free dangling bond bears an electron spin by nature and can make semiconductor surfaces magnetic. These phenomena are expected to be more significant in QD.18 With these considerations in mind, we suggest that the low-temperature Curie tail in ␹ is most likely due to ...
Halperin Presentation - National Academy of Sciences
Halperin Presentation - National Academy of Sciences

... "Discoveries of superfluid phases in 3He, high Tc superconductors, graphene and topological insulators have brought into focus materials where quasiparticles are described by the same Dirac equation that governs behavior of relativistic particles. This class of materials, called Dirac materials, exh ...
Precedence and freedom in quantum physics
Precedence and freedom in quantum physics

talk
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... EPR experiment as proposed by Aharonov and Bohm The 2 electrons in the H2 molecule have antiparallel spin vectors. Molecule is split into 2 atoms by a method which does not affect the spin. Suppose this is a classical system. Then the 2 hydrogen atoms must have antiparallel spin vectors even at lar ...
Physics 9 Fall 2009
Physics 9 Fall 2009

... +e. An electron and a positron can rotate about their center of mass as if they were a dumbbell connected by a massless rod. What is the orbital frequency for an electron and a positron 1.0 nm apart? ...
Spacetime Memory: Phase-Locked Geometric - Philsci
Spacetime Memory: Phase-Locked Geometric - Philsci

... the area in the Bloch sphere enclosed by the closed eigenspaces, i.e. rotational invariance, see eq.(10). evolution loop of the eigenstate. With n parameters λµ (t), µ = 1, 2, ..., n that span a closed curve C Information processing in the T -periodic parameter space λµ (0) = λµ (T ), the Berry phas ...
Quantum spin systems from the perspective of quantum information
Quantum spin systems from the perspective of quantum information

FREE Sample Here
FREE Sample Here

... (a) Two important quantum-mechanical concepts associated with the Bohr model of the atom are (1) that electrons are particles moving in discrete orbitals, and (2) electron energy is quantized into shells. (b) Two important refinements resulting from the wave-mechanical atomic model are (1) that elec ...
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Hydrogen atom



A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively charged proton and a single negatively charged electron bound to the nucleus by the Coulomb force. Atomic hydrogen constitutes about 75% of the elemental (baryonic) mass of the universe.In everyday life on Earth, isolated hydrogen atoms (usually called ""atomic hydrogen"" or, more precisely, ""monatomic hydrogen"") are extremely rare. Instead, hydrogen tends to combine with other atoms in compounds, or with itself to form ordinary (diatomic) hydrogen gas, H2. ""Atomic hydrogen"" and ""hydrogen atom"" in ordinary English use have overlapping, yet distinct, meanings. For example, a water molecule contains two hydrogen atoms, but does not contain atomic hydrogen (which would refer to isolated hydrogen atoms).
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