Recent content by zinDo

  1. Z

    Bosons/fermions trapped in a 1 dimensional trap

    Homework Statement A system of bosons or fermions trapped in a potential. I'm being asked to write the Hamiltonian in 1st and 2nd quantization and "describe the ground state" of the system. My main question is: what does it mean to describe the ground state? What should I look for? Should I...
  2. Z

    Solving a differential equation

    I want to solve Equation (1). w is a constant: \begin{eqnarray} \text{Equation (1): }\frac{dx}{dt}=1+x^2w^2\end{eqnarray} and I have been told that it is solved by (2): \begin{eqnarray} \text{Equation (2): }x(t)=\frac{Ax(0)+B}{Cx(0)+D}\end{eqnarray} Problem I believe them, but before I keep...
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