Recent content by jshw

  1. J

    Integration of exponential function

    Homework Statement Int(-infinity to +infinity) exp[i(t^3/3 + at^2 + bt)]dt = 2pi*exp[ia(2a^2/3 - b)]*Ai(b-a^2) O.Vallee gives this formula in his book, "Airy Functions and Applications to Physics" but there are no proof of this formula. I tried to prove this formula, but I failed. Would you...
  2. J

    How Can You Handle Continuous Spectrum in Quantum Mechanics?

    Homework Statement In Gasiorowicz's textbook, he provided the schemetic expession of the wave function(95page) ; psi(x) = Sigma[C_n X U_n(x)] + Integral[dE C(E) X u_E(x)] ("X" means multiplication symbol) In this equation, I think that 1st term(sigma) is the case of the discrete spectrum and...
  3. J

    Eigenvalue Problem in Uniformly Acceleration Motion

    Homework Statement In Uniform Acceleration Motion, the force F is constant. then potential V(x)=Fx, and Hamiltonian H=(p^2/2m)-Fx The problem is to solve the eigenvalue problem Hpsi(x)=Epsi(x) Homework Equations F=constant V(x)=Fx H=(p^2/2m)-Fx The Attempt at a Solution I have...
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