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Questions from past exam papers. 1. (a) (8 marks) The Hamiltonian
Questions from past exam papers. 1. (a) (8 marks) The Hamiltonian

Nuclear Spin Ferromagnetic transition in a 2DEG Pascal Simon
Nuclear Spin Ferromagnetic transition in a 2DEG Pascal Simon

Coulomb oscillations as a remedy for the helium atom
Coulomb oscillations as a remedy for the helium atom

... to account for the total (instead of only orbital) angular momentum. The wave nature—expressed in Schrödinger’s formulation of quantum mechanics by the wavefunction ψ—is necessary to account for the particles’ spatial (probability) distribution, ψψ ∗ = |ψ|2 . Quantum statistics becomes relevant for ...
Step Potential
Step Potential

Supersymmetry
Supersymmetry

Revista Mexicana de Física . Darboux-deformed barriers
Revista Mexicana de Física . Darboux-deformed barriers

a new insight into the quantization of energy
a new insight into the quantization of energy

... classical light wave directly corresponds, in some limiting way, to the frequency of a photon. Niels Bohr applied Planck’s construct to the atomic structure of the atom. Bohr’s quantized atom explained the emission spectrum of the atoms and the chemical properties of the elements. 7 According to cla ...
Quantum information processing with superconducting qubits in a
Quantum information processing with superconducting qubits in a

... the charging regime Ec À EJ0 and at low temperatures kB T ¿ Ec , the charge states |ni and |n + 1i become dominant as the controllable gate voltage is adjusted to VX ∼ (2n + 1)e/C. Here, the superconducting gap is assumed to be larger than Ec , so that quasiparticle tunneling is prohibited in the sy ...
Quantum NP - A Survey Dorit Aharonov and Tomer Naveh
Quantum NP - A Survey Dorit Aharonov and Tomer Naveh

md-vol 4 no 2.qxp - md
md-vol 4 no 2.qxp - md

Lecture 2 - Harvard Condensed Matter Theory group
Lecture 2 - Harvard Condensed Matter Theory group

... Example: Mott state with nA atoms in sublattice A and nB atoms in sublattice B ...
Conductivities and transmission coefficients of ultra-thin disordered metallic films B. J.
Conductivities and transmission coefficients of ultra-thin disordered metallic films B. J.

... the film thickness [9]. We calculated the conductivity for discrete values of the thickness (corresponding to full monolayers), and the deviations from monotonous behaviour occur between the points and cannot be seen. Additionally, we find the relation between our model and a formalism based on the ...
S - at www.arxiv.org.
S - at www.arxiv.org.

... angles. A tossed coin is fermion! We can say: ...
Finite Two-Dimensional Systems of Electrons at Zero and Finite
Finite Two-Dimensional Systems of Electrons at Zero and Finite

Stochastic Schrödinger equations
Stochastic Schrödinger equations

... number of detected photons dNt in the interval dt. For other schemes such as homodyne detection, the corresponding stochastic differential equation is obtained as the diffusive limit of photon counting where the jumps in the state space decrease in size but become increasingly frequent [1, 12, 37]. ...
Notes on wavefunctions II: momentum wave
Notes on wavefunctions II: momentum wave

... Wavefunctions for momentum states Let’s first ask the question: what does the wavefunction for a traveling electron look like? Here, we can use some of our experimental observations. Electrons with momentum p produce a pattern on the screen in a double slit experiment just like the pattern from a wa ...
Dirac Electrons in Graphene
Dirac Electrons in Graphene

Canonically conjugate pairs and phase operators
Canonically conjugate pairs and phase operators

Remarks on quantum gravity models and supersymplectic structures
Remarks on quantum gravity models and supersymplectic structures

Reverse Engineer Relativity, Quantum Mechanics and the Standard
Reverse Engineer Relativity, Quantum Mechanics and the Standard

The Singlet-Triplet Spectroscopy of 1,3
The Singlet-Triplet Spectroscopy of 1,3

A Hierarchical Approach to Computer-Aided Design of
A Hierarchical Approach to Computer-Aided Design of

What determines the structure of quantum physics?
What determines the structure of quantum physics?

... statistical physics and quantum information science. The early pioneers of quantum theory were strongly influenced by positivism, a philosophy postulating that a physical theory should be built and verified entirely on the basis of accessible sensory experience. Nevertheless the standard formulation ...
Problems in Quantum Mechanics
Problems in Quantum Mechanics

... called the density matrix , and show that the expectation value of the observable associated with operator  in |ψi is tr{ρ̂Â}. 4.2 Statistical mechanics Frequently physicists don’t know exactly which quantum state their system is in. (For example, silver atoms coming out of an oven are in states ...
The Pauli Principle
The Pauli Principle

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Quantum state

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