Propose a more general form of Eq. F1.4 such that it does not assume a normalized wavefunction.
Propose a more general form of Eq. F1.4 such that it does not assume a normalized...
What is the normalized form of the wavefunction x)Ax(L-x) for a one-dimension particle in a box with length L:
1. In general, compare the Static data model, to the Dynamic data model, to the Normalized data model. 2. What does the Dynamic data model add? (behavior classes, communication diagrams) 3. What does the Normalized Data Model add or change (association classes, FK, attributes)?
Problem 2: For the following general form of a second order measurement system (Eq. 1), classify the system as underdamped, critically damped or over damped for each of the sets of coefficients given in parts (a) - (d). Also determine the natural frequency (n), the damping ratio (0 and if possible, the ringing frequency (od). (b) k 25, c 44, m- 3 (c) k 125, c 235, m 1100 (d) k 18, c 24, m 8
(b) What is the general form of the solution to the Schroedinger Equation where a) E>U and b) E<U 2 marks] A particle is confined in a 1-D box of length L such that U=0 for 0〈x〈 and U is infinite elsewhere. Find an expression for the wavefunction inside the box which meets these boundary conditions, and show that it satisfies the Schroedinger equation. 2 marks] If the potential outside the box is Uo> O instead of infinite, describe with...
In the vector space model, assume that all document vectors are normalized. That is, for any document vector d, vertical line vertical line d vertical line vertical line equals 1. Let the number of index term be N. Which of the following is true? A)Documents are distributed arbitrarily in the N-dimensional Euclidean space. B)The Euclidean distance between any two documents is 1. C)Documents are on the surface of the N-dimensional unit sphere. D)The angel...
A more general form of the perfect substitutes production function is ?=??,?=??+??, where ?,?>0. a.What does this production function tell you about how these inputs are used? b.Use calculus to solve for the marginal product of labor (MPL).c.Use calculus to solve for the marginal product of capital (MPK) .d.Using what you found in (b) and (c), solve for the ????LK e.In one sentence, interpret what the ???LK !tells you if ?=10,?=20and ?=10;?=20 .f.Suppose that ?=10,?=20. Derive an equation for the...
4. (General Extensive Form Game ID Suppose the following general extensive-form game. Player 1 Player 2 (0, 4) (4,0 (4, 0) (0, 4) (a) Represent this game in normal form by using a matrix, and find all pure strategy (Bayesian Nash equilibrium (equilibria) b) Does a pure strategy perfect Bayesian equilibrium exist? If so, show it (or them). If not, prove it.
7. Compare the functional form of the wavefunction derived for a particle confined to a 2D plane, Y., , to one confined to a 1D line, Y., or Y... Does there appear to be a general relationship between the two solutions? If so, specifically identify how they are related. Model 2 The following are the normalized solutions to the Schrödinger equations for a particle confined to a plane defined in Model 1. V., ,(x,y) = Pnevy »* Vaba sin2= sin2,...
question 7 9 10
), where n, a, and are constant, is an eigenfunction of p. 7. (a) p. =- what is p. ? (b) sin( i ax what is the eigenvalue? (107) (9) = v ydt for a normalized wavefunction. Please find (1) for(a) v. - and (b) 42p. 4/2008 re s in sind. (hint : integrate over all space: sin Odrdodø (sin? xdx = [l-c952de, 5 xede = (203) 3 2 10. A particle of mass m is...
1. (50 points) Consider the particle in a one-dimensional box (0 s x S L). Assume a term is added to the Hamiltonian of the form: πχ V(x)g sin Sketch the potential and the expected eigenfunction (small g). In the limit of small g, find the second order correction to the ground state energy 2. (50 points) For a diatomic molecule rotating in free space, the Hamiltonian may be written: 12 21 Where L is the total angular momentum operator,...