Recent content by Mimb8

  1. M

    Nonlinear Schrodinger Equation Dispersion Relation

    The Nonlinear Schrodinger Equation (NSE) is presented as: $$i\frac{∂A}{∂z} = \frac{1}{2}β_2\frac{∂^2A}{∂t^2}-\gamma|A^2|A$$ The steady state solution $$A(z)$$ Can be derived as an Ansatz given by: $$ A(z) = \rho(z)e^{i\phi(z)}$$ By substituting and solving the ODE, the steady state...
  2. M

    Particle Number Operator (Hermitian?)

    Oh...I seem to have misread that property (shame on me). Thank you :)
  3. M

    Particle Number Operator (Hermitian?)

    Hi George, I'm not sure I get the transition: (a+. a)+=a+.(a+)+ Back me up here, if I have the operator (AB) and I apply the conjugate it gives me: (AB)+=A+.B+ Right? (I seem to be missing something really obvious here :s)
  4. M

    Particle Number Operator (Hermitian?)

    Particle Number Operator (Hermitian??) Hey guys, I'm studying the quantic harmonic oscillator and I'm using "Cohen-Tannoudji Quantum Mechanics Volume 1". At some point he introduced the particle number operator, N, such that: N=a+.a , where a+ is the conjugate operator of a. The...
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