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Show that integral from - infinity to + infinity of psi_1(x) times psi_2*(x) dx is equal to integral from - infinity to + infinity of phi_1(k) times phi_2*(k)
A satellite of mass 150kg is launched into orbit above the surface of the Earth in a circular orbit. what is the speed of the satellite in its orbit?
Consider a 3-dimensional, spherically symmetric, isotropic harmonic oscillator with a potential energy of
Estimate the speed of a typical long-period comet at perihelion. (Hint: At aphelion, the comet is moving very slowly.)
We study the relationship between the position space wave function and the momentum space wave function in quantum mechanics
The time-independent Schrodinger equation for a free particle moving in one dimension (x) is written as (d^2 Psi(x) / dx^2) + k^2 Psi(x) = 0, where k is a const
The magnitude and direction(with respect to B) of magnetic moment induced by the field.
A physical pendulum consists of a uniform rod of mass M and length L. The pendulum is pivoted at a point that is a distance x from the center of the rod
An electron of mass m is in a circular orbit in the potential U=0.5 k r^2. Using Bohr's quantization rule, find the allowed orbital radii and energy levels.
The earth's radius is 4000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles.
Two identical spin-1/2 particles are confined to an infinite one-dimensional square well of width a with infinite potential barriers at x=0 and x=a.
A celebrity holds a press conference, which is televised live. A television viewer hears the sound picked up by a microphone directly in front of the celebrity.
An electron is in a strong, static, homogenous magnetic field with magnitude B0 in the z direction. At time t=0, the spin of the electron is in the +z direction
Find the only way to construct a length from the parameters in the Schrodinger equation for the hydrogen atom. Compare with the Bohr radius.
A particle with mass m is in a one-dimensional infinite square-well potential of width a, so V(x)=0 for 0 <= x <= a
The magnetic stripes from seafloor data recorded off the coast of Vancouver and Washington State.What is always characteristic of a tectonic plate?
An electron is in a strong, uniform, constant magnetic field with magnitude B_0 aligned in the +x direction. The electron is initially in the state
Two charged particles are traveling in circular orbits with the same speed in a region of uniform magnetic field that is directed into the page, as shown.
The deuteron is a nucleus of "heavy hydrogen" consisting of one proton and one neutron.
There has recently been considerable interest in one-dimensional electrical conductors. In this problem, you are asked to calculate some free-electron propertie
Assuming the solid behaves like most solids, what is the coefficient of volume expansion?
Consider the particle of mass subject to a one-dimensional potential of the following form:
A result of Kepler's harmonic law is that the mass of a planet (M) with a satellite is directly proportional to the cube of the mean distance.
A particle is in the ground state of a box with sides x = +/- a. Very suddenly the sides of the box are moved to x = +/- b(b >a).
Calculate the force on a satellite due to drag and the mass of propellant needed to overcome the drag force.