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The Hamiltonian of a system of two (spin- 1/2) electrons, H= ?1?z1+?2?z2 where ?z is the Pauli Matrix, ? is an energy parameter and our subscripts represent the two electrons 1 and 2. What is the basis where this Hamiltonian is diagonal and what is the matrix of the Hamiltonian in this basis?
A 851-kg car stopped at an intersection is rear-ended by a 1760-kg truck moving with a speed of 17.5 m/s. find the final speed of both vehicles after the collision
The tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 7.00 s, Through how many revolutions does the tub turn while it is in motion
A target in a shooting gallery consists of a vertical square wooden board, 0.300 m on a side and with mass 0.740 kg, What is the angular speed of the board just after the bullet's impact
Find the magnification of the heater element given that the mirror has a radius curvature of 46 cm and produces an image of the coils 2.6m away from the mirror
The centers of a 7.0kg lead ball and a 140g lead ball are separated by 13cm. What gravitational force does each exert on the other
Light is shining perpendicularly on the surface of the earth with an intensity of 680 W/m2. find the number of photons per second per square meter
Multiple-Concept Example 10 provides one model for solving this type of problem. Two wheels have the same mass and radius of 5.0 kg, Find the net external torque that acts on each wheel
In outer space, there are two planets that are separated by a distance of 345x10^8 km. These two planets have the extact same mass. What is the mass of each star when it takes 8.9 earth years to complete one orbit
Light traveling in air enters a material at an angle of 50 degrees with respect to the normal. Calculate the index of refraction of the material
q1. the length of an air column that produces a strong resonance in a cylinder is 0.18m what is the frequency of the
A 2.10-cm-high insect is 1.50m from a 139-mm-focal-length lens. Where is the image? Follow the sign conventions, How high is the image
What are the minimum frequencies of light needed to emit electrons off each metal? Suppose a lamp is made which shines light of the exact minimum frequency needed to emit electrons off of gold.
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