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... The first mode Q 1 (t) corresponds to all of the ions oscillating back and forth as if they were rigidly clamped together; this is referred to as the center of mass mode. The second mode Q 2 (t) corresponds to each ion oscillating with an amplitude proportional to its equilibrium distance form the t ...
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... inertia I cm about its centra l axis, through its center of mass, is at one end of an axle of l ength d . The a xle is pivoted at an angle  with respect t o the vertical. The wheel is set into motion so that it executes uniform precession. Its spin angular velocity has magnitude  and is directed a ...
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... the light ball which then flies off towards the wall. The collision with the wall is also elastic and the light ball bounces off with the same speed it arrived at, heading back towards the heavy ball. The process keeps repeating: the light ball bounces off the heavy one, bounces off the wall, and re ...
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... Cs, respectively, in this so-called Rydberg formula, one finds decent agreement between the n-dependence of the energy spacings of the singly excited valence states of these atoms. The fact that  is larger for Na than for Li and largest for Cs reflects that fact that the 3s orbital of Na penetrates ...
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... unrelated to the energy E共n兲 of the state. Heisenberg emphasized this distinction between “term” and “energy” in a letter to Pauli summarizing the Born–Jordan theory.41 Born and Jordan adopt Eq. 共7兲 as a postulate–one based solely on the observable spectral quantities ␯共nm兲 without reference to any ...
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... Let x (s) = (0, s, 0, 0) ∈ R4 , s > 0, be a family of 4-vectors, Consider the translates O + x (s) and the corresponding local field algebra A(O + x (s)) of a massless scalar field. Then for all β1 , β2 > 0 ...
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Symmetry in quantum mechanics

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