Recent content by jshw
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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...- jshw
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- Exponential Exponential function Function Integration
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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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...- jshw
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- Spectrum
- Replies: 1
- Forum: Advanced Physics Homework Help
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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...- jshw
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- Acceleration Eigenvalue Eigenvalue problem Motion
- Replies: 2
- Forum: Advanced Physics Homework Help