Recent content by Epideme

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    Probability Distribution Question

    Homework Statement The stationary Schrödinger equation for a particle moving in a potential well has 2 solutions psi_1 (x) = e^(-ax^2), with Energy, E_1, and psi_2 (x) = xe^(-ax^2) with Energy, E_2. At t = 0 the particle is in the state psi(x) = psi_1(x) + psi_2(x) a)Calculate the...
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    Schrodinger Equations and Probability Density Functions

    Homework Statement A Particle is described by the normalized wave function psi(x,y,z) = Ae^(-alpha[x^2 + y^2 + z^2]) Where A and alpha are real positive constants a)Determine the probability of finding the particle at a distance between r and r+dr from the origin hint: use the volume of...
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    Wave Functions, Uncertainty Principle, Probability Density Function.

    Homework Statement Consider the wave packet defined by psi(x) = integral(limits of +infinity and - infinity) dke^(-alpha(k-k_0)^2) e^(ikx) a)What is the mean value of the momentum p barred (it's just a line over the p) of the particle in the quantum state given by this wave function...
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    • Density Density function Function Functions Principle Probability Probability density Probability density function Uncertainty Uncertainty principle Wave Wave functions
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    • Forum: Advanced Physics Homework Help
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    Working out Zero-Point Energy and ration of potential to kinetic for a particle.

    Homework Statement Consider a particle with mass, m moving in one dimensional potential U=kx^2/2 as in a mass-spring system. The total energy of the particle is E= (p^2/2m) + (kx^2/2) Classically, the absolute minimum of the energy, E=0 is acheived when p=0 and x=0. In quantum mechanics...