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L z
L z

... Angular Momentum Operator • L is important to us because electrons are constantly changing direction (turning) when they are confined to atoms and molecules • L is a vector operator in quantum mechanics • Lx : operator for projection of L on a x-axis • Ly : operator for projection of L on a y-axis ...
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Finding Complex Solutions of Quadratic Equations
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... , which gives the solutions of the general quadratic equation. In the quadratic formula, the formula, x = ___________ 2a expression under the radical sign, b 2 - 4ac, is called the discriminant, and its value determines whether the solutions of the quadratic equation are real or non-real. ...
Spontaneous symmetry breaking of solitons trapped in a double
Spontaneous symmetry breaking of solitons trapped in a double

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Mean-field limit of Bose systems: rigorous results

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... variables. It is easy to find ordered pairs (x, y) that satisfies one or the other of these equations. To solve this system we have to find an ordered pair of real number that satisfies both equation at the same time. In general, we have the following definition: Barnett/Ziegler/Byleen College Mathe ...
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pdf - at www.arxiv.org.

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Path Integral Formulation of Quantum Tunneling: Numerical Approximation and Application to

... path. Further explanation of exactly how this is done is given below in section 2.4.2. However, in the case of the total energy of the system being less than V0 we know that there cannot exist such a stationary path ( if we were able to find one it would be correspond to a classical path from xi to ...
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Quantum defect theory description of weakly bound levels and Feshbach...

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Schrödinger equation

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