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Angular Momentum and Central Forces
Angular Momentum and Central Forces

... L2 operating on Θ gave the original function Θ back modified with a scalar constant. Therefore Θ is also an eigenfunction of L2 with eigen value h2 l(l+1). Where l is called an orbital angular-momentum quantum number. Explained in later slides ...
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Gauge Theory and the Jones Polynomial

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... and other particles. Photons are one of the rare particles that are identical to their antiparticle, the antiphoton. Photons act as both a wave and a particle all the time (even though it’s common, but basically incorrect, to say that it’s “sometimes a wave and sometimes a particle” depending upon w ...
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... 1. A bullet with a mass of 20.0 g and a speed of 960 m/s strikes a block of wood of mass 4.50 kg resting on a horizontal surface. The bullet gets embedded in the block. The speed of the block immediately after the collision A) cannot be found because we don't know whether the surface is frictionless ...
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... We’re all very used to measuring angles in degrees, and know perfectly well that there are 360º in a circle, 90º in a right angle, and so on. You’ve probably noticed that 360 is also a convenient number because so many other numbers divide into it. However, this is a totally arbitrary system that ha ...
IUPAC Periodic Table Quantum Mechanics Consistent
IUPAC Periodic Table Quantum Mechanics Consistent

... spherical resonator [6]. Born compares the hydrogen atom with a circular membrane fixed at the circumference. The number of radial nodal lines is the quantum number of the state of vibration [7]. The hydrogen nucleus with its electrostatic potential may be compared to a pond limited by a slope. The ...
Topological Insulators
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The nonlinearity of single photon

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Quantum Cheshire Cat

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Spin States in Graphene Quantum Dots

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... 8. I. Snyman and Y.V. Nazarov (2007) Polarization of a charge qubit strongly coupled to a voltage-driven quantum point contact. Phys. Rev. Lett. 99, 096802. 9. J. Tworzydło, I. Snyman, A.R. Akhmerov and C.J.W. Beenakker (2007) Valley-isospin dependence of the quantum Hall effect in a graphene p-n ju ...
Quantum Spin Hall Effect in Graphene
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... As with the strain, the stress can also be regarded as composed of two terms: σij = σij′ + δij σm The first term is the stress deviator tensor and it plays a key role in nonlinear mechanics. The second term is the mean stress defined as ...
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Review on Nucleon Spin Structure

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Metric Tensor, Connection, Curvature and Geodesic In this chapter

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... Use the lemma that: Given two sets of pure states {|i}, {|i}, if they have equal matrices of inner products, ijij for all i and j, then there is a unitary operation U on the direct sum of the state spaces with U|i=|i, for all i and vice-versa. Now consider first i be a pure state ...
A quantum mechanical model of adaptive mutation
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... the quantum system and its interaction with the environment. These models predict that coherent superpositions of quantum states will decohere into a statistical ensemble of macroscopically distinguishable (classical) states whenever the system reaches a critical degree of complexity or interacts wi ...
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Midgap states of a two-dimensional antiferromagnetic Mott

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Symmetry in quantum mechanics

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