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I think the answers to parts c and d are both 25%, but I don’t remember...
Consider a particle confined to one dimension and positive r with the wave function 0, z<0...
Consider a particle confined to one dimension and positive r with the wave function 0, z<0 where N is a real normalization constant and o is a real positive constant with units of (length)-1. For the following, express your answers in terms of a: a) Calculate the momentum space wave function. b) Verify that the momentum space wave function is normalized such that (2.4) c) Use the momentum space wave function to calculate the expectation value (p) via (2.5)
Consider a particle confined to one dimension and positive z with the wave function 0 where...
Consider a particle confined to one dimension and positive z with the wave function 0 where N is a real normalization constant and α is a real positive constant with units of (length)-1. For the following, express your answers in terms of α: f) Calculate the expectation value of the momentum, (p) via the canonical expression -0o g) Calculate the expectation value of (p) via the canonical expression h) Use your results for(i) and (pay to calculate the variance in...
Please include explanations I. The graph shows the wave function ψ(x) of a particle between x =0 nm and x-2.0 nm. The cvx 0to 2.0 nm probability is zero outside of this region. In other words,p(x) -...
Please include explanations I. The graph shows the wave function ψ(x) of a particle between x =0 nm and x-2.0 nm. The cvx 0to 2.0 nm probability is zero outside of this region. In other words,p(x) - a) Find c, as defined by the figure. P(x) b) What is the probability of finding a particle between 1.0 nm and 2.0 nm? c) What is the smallest range of velocities you could find for an electron confined to this distance of...
Extra Credit (3 points to Mideterm-2) Q1. A particle is described by the wave function (x)...
Extra Credit (3 points to Mideterm-2) Q1. A particle is described by the wave function (x) b(a2-x2) for -a sx s a and (x) 0 for x -a and x +a, where a and b are positive real constants. (a) Using the normalization condition, find b in terms a. (b) What is the probability to find the particle at x = +a/2 in a small interval ofwidth 0.01 a ? (c) What is the probability for the particle to be...
I am really struggling with quantum. Can someone please help me with those questions 4.2. Using...
I am really struggling with quantum. Can someone
please help me with those questions
4.2. Using basic quantum concepts Pr 4.3 This problem reinforces your understanding of normalization, prob- ability densities, and mean (expectation) values. The ground state wave function for a particle in a wire is = (2/a)/2 sin(x/a). (a) Define the ground state wave function for the particle in a wire using Maple. Hint: see Appendix A. (b) Write down a mathematical expression for the normalization of the...
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can'...
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
The initial wave function of a free particle is: Ψ(x,0) = A, for |x| = 0,...
The initial wave function of a free particle is: Ψ(x,0) = A, for |x| = 0, otherwise where a and A are positive real numbers. The particle is in a zero (or constant) potential environment since it is a free particle a) Determine A from normalization. b) Determine φ(p) = Φ(p,0), the time-zero momentum representation of the particle state. What is Φ(p,t)? Sketch φ(p). Locate the global maximum and the zeros of φ(p). Give the expression for the zeros (i.e.,...
Need all parts some hints are giving ! If you don’t know don’t answer need experts...
Need all parts some hints are giving ! If you don’t know
don’t answer need experts only
Question # 3 (A) The probability distribution function of a continuous variable is as follows: p(x) k x (1+x2) 0 G1Sx3+1) else where where k is a constant. (i) (ii) (iii) Find the value of, k Find the expected mean and standard deviation Determine the cumulative probability between (-1 that is, P(x+0.5)? x + 0.5); Answer-hints: (iii)i P(x 0.5) 15/16] Indicated below is...
I need help with normalizing the piecewise function. I tried it already, but I have a...
I need help with normalizing the piecewise function. I
tried it already, but I have a feeling that my answer is completely
off.
2. Normalisation, expectation values, and standard deviation Consider a particle in the state described by the wave function, 0; A(); A ); <0 0 < x a< <a, <b, ( 0; where A, a, and b are real, positive constants. (a) Discuss any features of the wave function that appear problematic. (b) Determine A by normalising the...
Im having trouble solving d and e I don’t know how to differentiate or graph 2013...
Im having trouble solving d and e
I don’t know how to differentiate or graph
2013 AP PHYSICS C: MECHANICS FREE-RESPONSE QUESTIONS Mech 2. A box of mass m initially at rest is acted upon by a constant applied force of magnitude F. as shown in the figure above. The friction between the box and the horizoetal surface can be assumed to be negligible, but the box is subject to a drag force of magnitude kv where v is the...
Consider a particle confined to one dimension and positive r with the wave function 0, z<0 where N is a real normalization constant and o is a real positive constant with units of (length)-1. For the following, express your answers in terms of a: a) Calculate the momentum space wave function. b) Verify that the momentum space wave function is normalized such that (2.4) c) Use the momentum space wave function to calculate the expectation value (p) via (2.5)
Consider a particle confined to one dimension and positive z with the wave function 0 where N is a real normalization constant and α is a real positive constant with units of (length)-1. For the following, express your answers in terms of α: f) Calculate the expectation value of the momentum, (p) via the canonical expression -0o g) Calculate the expectation value of (p) via the canonical expression h) Use your results for(i) and (pay to calculate the variance in...
Please include explanations I. The graph shows the wave function ψ(x) of a particle between x =0 nm and x-2.0 nm. The cvx 0to 2.0 nm probability is zero outside of this region. In other words,p(x) - a) Find c, as defined by the figure. P(x) b) What is the probability of finding a particle between 1.0 nm and 2.0 nm? c) What is the smallest range of velocities you could find for an electron confined to this distance of...
Extra Credit (3 points to Mideterm-2) Q1. A particle is described by the wave function (x) b(a2-x2) for -a sx s a and (x) 0 for x -a and x +a, where a and b are positive real constants. (a) Using the normalization condition, find b in terms a. (b) What is the probability to find the particle at x = +a/2 in a small interval ofwidth 0.01 a ? (c) What is the probability for the particle to be...
I am really struggling with quantum. Can someone
please help me with those questions
4.2. Using basic quantum concepts Pr 4.3 This problem reinforces your understanding of normalization, prob- ability densities, and mean (expectation) values. The ground state wave function for a particle in a wire is = (2/a)/2 sin(x/a). (a) Define the ground state wave function for the particle in a wire using Maple. Hint: see Appendix A. (b) Write down a mathematical expression for the normalization of the...
1) (35 points) The wave function for a particle moving along x axis between the limits 0 and L is: (x)-C sin (nx xL) where n are 1, 2, 3, A) Determine the normalization constant C B) Why can't n take the value of 0, briefly explain C) For n-3 determine the values of x (in terms of L) that correspond to a maximum or a minimum in the wave function D) For n-3 determine the values of x (in...
Need all parts some hints are giving ! If you don’t know
don’t answer need experts only
Question # 3 (A) The probability distribution function of a continuous variable is as follows: p(x) k x (1+x2) 0 G1Sx3+1) else where where k is a constant. (i) (ii) (iii) Find the value of, k Find the expected mean and standard deviation Determine the cumulative probability between (-1 that is, P(x+0.5)? x + 0.5); Answer-hints: (iii)i P(x 0.5) 15/16] Indicated below is...
I need help with normalizing the piecewise function. I
tried it already, but I have a feeling that my answer is completely
off.
2. Normalisation, expectation values, and standard deviation Consider a particle in the state described by the wave function, 0; A(); A ); <0 0 < x a< <a, <b, ( 0; where A, a, and b are real, positive constants. (a) Discuss any features of the wave function that appear problematic. (b) Determine A by normalising the...
Im having trouble solving d and e
I don’t know how to differentiate or graph
2013 AP PHYSICS C: MECHANICS FREE-RESPONSE QUESTIONS Mech 2. A box of mass m initially at rest is acted upon by a constant applied force of magnitude F. as shown in the figure above. The friction between the box and the horizoetal surface can be assumed to be negligible, but the box is subject to a drag force of magnitude kv where v is the...
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