Monday, March 25, 2019

quantum mechanics - Is there a physical reason for level repulsion and avoided crossings?


Suppose we have a Hamiltonian that depends on various real parameters. When tuning the values of these parameters, the energy eigenvalues will often avoid crossing each other. Why?



Is there a physically intuitive justification for level repulsion and avoided crossings? It would be nice to see a general argument.




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classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...