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Z2 Topological Order and the Quantum Spin Hall Effect
Z2 Topological Order and the Quantum Spin Hall Effect

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introduction of a quantum of time ("chronon")

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... electric potential is defined in terms of electrical potential energy! We also decided to name a new unit. The units of electrical potential by dimensional analysis are Joules/Coulombs. A Joule/Coulomb is called a volt after Alexandra Volta who developed the battery. IV. ...
Physics 8805: Nuclear Few- and Many-Body Physics
Physics 8805: Nuclear Few- and Many-Body Physics

... Overview of exercises and discussion questions. The problems here range from basic (and generally quick) to quite sophisticated (quick and not so quick) and are organized according to the lecture schedule. Comments on the pedagogy: • The underlying philosophy is that students learn most effectively ...
Quantum Transport Theory with Tight-Binding Hamiltonian Stefano Sanvito Department of Physics
Quantum Transport Theory with Tight-Binding Hamiltonian Stefano Sanvito Department of Physics

... b) Then construct the projector to map (14) onto (15). It is the same for the infinite case: ...


... In section 2, a certain non self-adjoint Hamiltonian H with real eigenvalues, expressed as a quadratic combination of bosonic operators, is diagonalized by means of dynamical pseudo-bosons, which are determined by the EMM, with the help of a real and pseudo-Hermitian matrix M of size 2N. A complete ...
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Palash B. Pal Saha Institute of Nuclear Physics Calcutta

... The particles must also possess an overall attractive potential energy. In order that the composite system is bound, the total energy must be negative, i.e., |Epotential| > Ekinetic . Virial theorem: The two magnitudes do not differ by huge factors. Hence, |Etotal| = |Ekin + Epot| = |Epot| − Ekin ∼ ...
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Analysis of the wave packet interference pattern in the Young experiment K. C

... There are two possible ways of evolution of the quantum state of a system, which is completely predictable and reversible, called unitary evolution, as well as the irreversible rapid process connected with measurements [1]. There have been a few attempts of bringing these two possible ways of evolut ...
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Commun. math. Phys. 52, 239—254

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QUANTUM ENTANGLEMENT

... wave function ψ ( x ) . The probability of find the particle at position x is given by the square of the wave function: ...
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Unified rotational and permutational symmetry and selection rules in

Supersymmetric quantum mechanics and new potentials
Supersymmetric quantum mechanics and new potentials

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Assumptions and errors in the Lorentz force equation in

... direction, and this change of direction changes the direction of the induced field so that it remains at right angles to the direction of motion. This causes the charge to follow a circular path as shown rather than be accelerated away to the right of Figure 5. The consequence of this is that no ene ...
Document
Document

... It is a new universal form of matter: Matter: Carries energy; Separation of gluons is small compared to size of system; Number of gluons is large New: Can only be made and probed in high energy collsions Universal: Independent of hadron, renormalization group ...
Supplemental Materials
Supplemental Materials

... their relatively weak strengths. The diagonal items ± come from the potential bias between the two graphene-layers. Diagonalizing the Hamiltonian, we can obtain the energy spectrum with four branches near the Dirac point1. The interaction between light and BLG can be described by replacing the mome ...
Chapter 2 Theory of angular momentum
Chapter 2 Theory of angular momentum

... about the north-south axis. However, this description is only a matter of conve~ can be obtained by adding the angular momenta, L ~ n , of all the nience since S particles constituting the Earth. • In quantum mechanics, there is a fundamental difference. A quantum particle, ~ (which is f.i., an elec ...
Quantum Optical Engineering
Quantum Optical Engineering

... has long been the home of both quantum optics and of optical engineering, but they have occupied the opposite poles of the axis that runs from pure basic research to applicationsdriven research and advanced development. The assignment of quantum optics to “pure” research with no application in sight ...
Lieb-Robinson bounds and the speed of light from topological order
Lieb-Robinson bounds and the speed of light from topological order

Integrable Systems: An Overview Preamble. The following pages
Integrable Systems: An Overview Preamble. The following pages

... Hamilton’s equations, provided the action-angle map is explicitly known. Although various integrable systems were discovered in the 19th century (e.g., the Euler and Kovalevskaya tops, Jacobi’s geodesic flow on an ellipsoid), the subject lay dormant during the first seventy years of the 20th century ...
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Relativistic quantum mechanics

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