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NMR SPECTROSCOPY
NMR SPECTROSCOPY

... 2) The sample is irradiated with a range of radio frequency light to transfer nuclei from the lower to the higher energy state. 3) The oscillating magnetic fields produced by the nuclei are observed using the same coil that was used for the irradiation. A complex, decaying signal is observed that co ...
Why are the Co-based 115 compounds different?: The case study of
Why are the Co-based 115 compounds different?: The case study of

... Appealing compound to study the role of the transition metal M: ...
Single-molecule magnets: Iron lines up
Single-molecule magnets: Iron lines up

Green function in solid
Green function in solid

... We need to solve the Schrodinger equation for quantum system Equation of motion ...
vander waals forces in an inhomogeneous dielectric
vander waals forces in an inhomogeneous dielectric

... Here, evidently, fluctuations with wavelengths of the order of the dimensions of the inhomogeneities are significant (for example, of the order of the film thickness or of the distance between the attracting solids). This makes possible a macroscopic analysis for macroscopic bodies and to express th ...
4.1 Schr¨ odinger Equation in Spherical Coordinates ~
4.1 Schr¨ odinger Equation in Spherical Coordinates ~

... Coulomb force. While the correct dynamics would involve both particles orbiting about a center of mass position, the mass differential is such that it is a very good approximation to treat the proton as fixed at the origin. The Coulomb potential, V ∝ 1r , results in a Schrödinger equation which has ...
1.2.8. Additional solutions to Schrödinger`s equation
1.2.8. Additional solutions to Schrödinger`s equation

Chapter 7 (Lecture 10) Hydrogen Atom The explanation of
Chapter 7 (Lecture 10) Hydrogen Atom The explanation of

... two parts. The first part is called the asymptotic behavior, referring to the solution at very large distance from the proton or very close to the proton. The asymptotic behaviour of the equation ...
Lecture 9 1 Measurement and expectation values
Lecture 9 1 Measurement and expectation values

... So, to understand behavior of electron’s intrinsic magnetic moment ~µ (which is an observable we can measure) then we must understand the behavior of its intrinsic angular momentum = ~S. This is why spin is important. Since the electron is small, ~S must be described by QM. To understand spin = ~S w ...
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Quantum phase transitions in atomic gases and

... Avoided level crossing which becomes sharp in the infinite volume limit: second-order transition ...
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Bloch Oscillations

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Production of Net Magnetization

... increases with increasing B0. For a collection of protons at body temperature (310 K) at 1.5 T, there will typically be an excess of ~1:106 protons in the lower level out of the approximately 1025 protons within the tissue. This unequal number of protons in each energy level means that the vector su ...
The Chiral Constituent Quark Model (cCQM)
The Chiral Constituent Quark Model (cCQM)

...  The short range character of any of these interactions highly depends on the interplay between Vs on the one hand, and V + VOGE on the other hand. Therefore it becomes attractive in LL, slightly repulsive in NL and repulsive in NN. ...
Complete Introduction
Complete Introduction

... by F. H. STILLINGER, Jr. The following set of papers written or coauthored by Professor Kirkwood have been selected as falling into either of two categories: Quantum Statistics, or Cooperative Phenomena. Under each of these headings, the papers are arranged chronologically. One unavoidably concludes ...
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... field ∆2 + ω 2 /γ finally scales with the mean magnetic moment ms (x). The KT function PKT does not work as well towards the more diluted regime approaching xc , the minimum becomes very shallow, for e.g. 11 %, questioning the long range order of this compound. Beyond xc , for x = 12.3 %, a small de ...
Vaxjo, 16 - Homepages of UvA/FNWI staff
Vaxjo, 16 - Homepages of UvA/FNWI staff

... Ensemble can be real: (many particles: bundle at LHC one trapped ion in photon field, repeated excitation) or virtual: (as in classical statistical physics) QM = tool for calculating averages from density matrix ρ ...
Lectures 10-11: Multi-electron atoms System of non
Lectures 10-11: Multi-electron atoms System of non

Locally critical quantum phase transitions in strongly
Locally critical quantum phase transitions in strongly

... When a metal undergoes a continuous quantum phase transition, non-Fermi-liquid behaviour arises near the critical point. All the low-energy degrees of freedom induced by quantum criticality are usually assumed to be spatially extended, corresponding to long-wavelength ¯uctuations of the order parame ...
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1 Time evolution of a spin an an external magnetic field and Spin

... where to simplify notation I set δ = 21 − φΦ0 . The boundary condition of the problem is that at t = 0 the system is in the spin down effective state (or m = 0 state in the original picture) and we are asked to evaluate the probability that it appears in the spin up state after some time T . This sp ...
Chromium: a spin qubit with large spin to strain
Chromium: a spin qubit with large spin to strain

... emission with magnetic field (see Fig. 1) revealed the large sensitivity of the Cr spin to local strain. Next, we used resonant optical excitation of the quantum dot to control and read out the Cr atom’s spin state. That is, we have shown that excitation with a laser beam tuned to the wavelength of ...
Atomic structure
Atomic structure

... Hydrogenic wave functions ψai (i) are then eigenfunctions of each Hi with eigenvalues E (we note ai = (ni li mli msi ) the set of QNs for electron i). The product Ψ(1, . . . , N) = Qi N ψai (i) would then be an eigenfunction of the unperturbed system1 with eigenvalue i=1P E = Ei . However, for large ...
domenico.pdf
domenico.pdf

... In Fig.(7) we plot the imaginary part of χq (ω). Notice that, since there is no spin-1 elementary excitation anymore, no spin-1 resonances show up in the plot. We rather see a broad spectral continuum, which is the evidence of nonelementarity of the spin-1 spin wave, on top of a sharp spike at thres ...
LEP 5.1.12 Electron spin resonance
LEP 5.1.12 Electron spin resonance

... nating voltage modulation has been switched off, the two current values at which the moving spot crosses the x-axis can be determined by slowly varying the d.c. current in the coil. The half-width of the signal is calculated from the difference between these currents. ...
Lecture 1 - Harvard Condensed Matter Theory group
Lecture 1 - Harvard Condensed Matter Theory group

... BEC of spinless bosons. Bogoliubov theory We now expand around the nointeracting solution for small U0 . ...
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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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