Reading Quiz

Question 1:

Answer:

1. From experiment results.
2. experimentation; it was not derived
3. It cannot be derived, and is found experimentally.
4. The Schroedinger equation is similar to the classical wave equation because they both involve taking partial derivatives, however the Schroedinger equation involves second derivatives, complex numbers, potential energy, and has different variation for time dependent and independent formulas.
5. The equation does not come from anywhere, it cannot be derived, and its validity is based solely on experimental data.
6. It's the wave equation applied to quantum principles.
7. It can't be derived but rather comes from experiment. It comes from the concepts of the particle in a box situation.
8. It can't be derived. It comes from experimental results.
9. It doesn't come from anywhere it just exists like Newton's equation. It is experimently derived.
10. Schroedinger's Equation comes purly from experimentation and can't be derived from any earlier laws of physics

Question 2:

Answer:

1. It is the partial differential equation in sapce and time. It relates the second space derivative of the wae function to the first time derivative of the wave function.
2. It is similar in that they are both partial differential equations. They are different because the schrodinger equation uses a first derivative, and it contains an imaginary number.
3. It is an equation of distance and time. It relates the original equation and the potential to the first and second dirivatives.
4. Particles are allowed to pass through barriers, and it is possible for their potential energies to be greater then their total energy leading to negative kinetic energy.
5. The Schroedinger equation is similar to the classical wave equation because they both involve taking partial derivatives, however the Schroedinger equation involves second derivatives, complex numbers, potential energy, and has different variation for time dependent and independent formulas.
6. They are both second order differential equations dependent on space and time, but the Schroedinger equation is solved for psi instead of y.
7. Like the classical wave equation, it relates two forms of the wave equation. It is different, however, in that it relates the second space derivative of the wave function to the first time derivative. It takes non-real solutions into account.
8. It uses the first time derivative of the wave function instead of the second and it also uses the imaginary number i.
9. It partial dify q in space and time. It can not be a wave equation. A particle can't move according to the eqauation.
10. Schroedinger's Equation gives us the probability that a partical will be in a certain place where as the classical wave function is the plot of a definat path

Question 3:

Answer:

1. Barrier penetration and tunneling.
2. Boundary conditions lead to energy quantification. Also, the equation leads to barrier penetration
3. The equation has an imaginary number in it. They may not be measurable functions.
4. It will curve away from the axis.
5. Particles are allowed to pass through barriers, and it is possible for their potential energies to be greater then their total energy leading to negative kinetic energy.
6. For a particle in a box, the potential is 0 inside the box and infinite anywhere outside of it. For a particle in a ring, the Schroedinger equation proves that angular momentum is quantized.
7. -The boundary conditions of the infinite square well senario restrics the wavelenth and wave number so that they can only have quantized values. -The fact that n=0 is not an option means that if a particle is in a confined area, it has to have a wavelength.
8. Energy only comes in certain amounts. It also allows barrier penetration.
9. The INfintite square well potentail where U indside is 0 and U outside is super billion times infinty plus one.
10. the infinate square well which is surounded by a reagin where the U is negative infinaty Barrier Penitration when a partical passes through an area that it does not have enough energy to get through classicaly

Question 4:

Answer:

1. Away
2. Away
3. It will curve away from the axis.
4. Quoting my high school physics teacher after a failed experiment, "well you know an experiment is biology if it smells bad, it chemistry if it turns your clothes green, and its physics if it doesn't work"
5. It will curve away from the axis.
6. The function curves away from the axis.
7. If the second derivative has the same sign as the function, the function will curve away from the axis.
8. It will curve away from the axis.
9. it curves away from the axis of evil
10. away from the axis

Question 5:

Answer:

1. You might be a physics nerd if your three year old son asks why the sky is blue and you try to explain atmospheric absorption theory.
2. The physics behind this isnt really complicated but, if you have a friend who has an office with a door that opens out into the hallway, put a few door stops under their door while theyre in there with the door closed. They wont be able to get out.
3. This one is from Stargate SG-1. Jack calls Daniel to ask about a crossword puzzle. Jack: Seven letter word. Clue. Up, Down, Charm. Daniel: Hmm, that’s strange. Jack: That’s what I thought.
4. The Schroedinger equation seems to have many forms, how do we know which ones to use and in which situations?
5. Quoting my high school physics teacher after a failed experiment, "well you know an experiment is biology if it smells bad, it chemistry if it turns your clothes green, and its physics if it doesn't work"
6. You probably heard this one: A physics student forgets his homework and the professor asks where it is. The student says, "I measured the momentum of my homework so precisely, I have no idea where it is."
7. So two protons walking down a street are too distraced by the forces of life around them, when they accidentally bump into each other. The one spills is coffee and the other frantically asks, "are you okay?" When the other responds, "yes, it's alright," the first, still shaken, asks again, "are you sure?" The other assures him, "yes, I'm positive!" ....hahahahahahaha, get it Krishna?!? oh man...
8. A neutron goes to the grocery store to pick up some ice cream for his neutron family back home in nucleusville(he is in an special suit that allows him to be stable outside of nucleusville). He gets the ice cream and goes to check out. "How much?" he asks. "For you," said the cashier, "no charge."
9. Don't drink and derive.

Question 6:

Answer:

1. The Schrödinger Equation :)
2. what does the imaginary part of schrodingers equation mean?
3. The transmission through a barrior.
4. Nope.
5. The Schroedinger equation seems to have many forms, how do we know which ones to use and in which situations?
6. N/A
7. crazy particles... This stuff can't be right. What are the chances that later in life, it is discovered that this is wrong?
8. Barrier penetration

Question 7:

Answer:

1. A lot of the math looks pretty ugly ...
2. none
3. "Solving" the Schrodinger Equation.
4. Sorry for the duplicate.
5. N/A
6. As always, the derivation stuff loses me but i can usually understand the results.
7. Nope