![If an infini te square well had an initial wave function of Ψ(x, 0)-A(7Y, (x, 0) + 4Y, (x, 0) + 2Y, (x,0)] (a) normalize it using the Dirac notations. (5 points) (b) What is Ψ(x, t) for the wave function with the initial state? (5 points)](http://img.homeworklib.com/questions/34aad8a0-ce0a-11ea-90af-7584d533c867.png?x-oss-process=image/resize,w_560)
Homework Answers
please thumb upAdd Answer to:
If an infini te square well had an initial wave function of Ψ(x, 0)-A(7Y, (x, 0)...
1. A particle in an infinite square well has an initial wave function Alsin sin 4 0 < x < L other...
help on all a), b), and c) please!!
1. A particle in an infinite square well has an initial wave function Alsin sin 4 0 < x < L otherwise s(x, t = 0) 0 (a) Find A so that the wavefunction is normalized. (b) Find '(z,t). (c) Find the expectation value(E) of the energy of ψ(x,t = 0). You may use the result mx n 2 0
1. A particle in an infinite square well has an initial wave...
A particle in an infinite square well has the initial wave function: (x,0)- A sin(x/a) (0...
A particle in an infinite square well has the initial wave function: (x,0)- A sin(x/a) (0 S a (a) (b) Determine A Find$(z,t) (Hint: You will need to break up this wavefunction into a superposition of pure states. Use orthogonality to find the coefficients.) (c) Calculate (x). Is it a function of time? (d) Calculate (H).
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.,...
3. At time t-0 a particle is represented by the wave function A-if 0 < x<a...
3. At time t-0 a particle is represented by the wave function A-if 0 < x<a ψ(x,0) = 0 otherwise where A, a, and b are constants. a) Normalize ψ(x,0). b) Draw (x,0). c) Where is the particle most likely to be found at t-0? d) What is the probability of finding the particle to the left of a? e) What is the expectation value of x?
The particle of mass m in the infinite square well (of width a) starts out of...
The particle of mass m in the infinite square well (of width a) starts out of the left half of the well, and is (at 1-0) equally likely to be found at any point in that region, what is the initial wave function Ψ(0)? Assume it is real, do not forget to normalize it.
Q3) A particle in the harmonic oscillator potential has the initial normalized wave function Ψ(?, 0)...
Q3) A particle in the harmonic oscillator potential has the initial normalized wave function Ψ(?, 0) = 1 /√5 [2 ?₁ (?) + ?₂ (?)] where ?1 and ?2 are the eigenfunctions of the oscillator Hamiltonian for ? = 1,2 states. a) Write down the expression for Ψ(?,?). b) Calculate the probability density ℙ(?,?) = |Ψ(?,?)| ² . Express it as a sinusoidal function of time. To simplify the result, let ? ≡ (?² ℏ)/ 2??² . c) Calculate 〈?〉...
A particle in the infinite square well has as its initial wave function an even mixture...
A particle in the infinite square well has as its initial wave function an even mixture of the first two stationary states: psi(x, 0) = A[psi_1 (x) + psi_2(x)]. Normalize psi(x, 0) (that is, find A). Find psi (x) and |psi (x, )|^2. Express the latter as a sinusoidal function of time. To simplify the result, let omega = pi^2 h/2ma^2. Compute < x >? Compute < p >? If you measured the energy of this particle, what values might...
A free proton has a wave function Psi (x) = A sin (kx), where k =...
A free proton has a wave function Psi (x) = A sin (kx), where k = 1.2 times 10^10 m^-1 What is the proton's lambda? What is the proton's momentum? What is the proton's speed? Normalize Psi (x) if the wave only exists inside an infinite square well with width a = 2.1 m, (so that Psi (x) = A sin (kx) between 0 < x < a and Psi (x) = 0 otherwise).
Suppose at a certain time to the wave function is, Ψ(x,6) N for all x between...
Suppose at a certain time to the wave function is, Ψ(x,6) N for all x between the values ofx = 1 cm and x = 2 cm. For all values ofx outside the interval [12] the wave function is zero. a) Normalize the wave function. (Solve for N). Pay attention to units! b) Sketch the probability density V(x,/,)(x, as a function of x c) What is the probability of finding the electron between 1.5 cm and 2.0 cm? d) What...
5. A free particle has the initial wave function, where A and a are positive real...
5. A free particle has the initial wave function, where A and a are positive real constants. (a) Normalize ψ(x,0). (b) Find φ(k). (c) Construct $(z,t), in the forn of an integral. (d) Discuss the limiting cases (a very large, and a very small).
help on all a), b), and c) please!!
1. A particle in an infinite square well has an initial wave function Alsin sin 4 0 < x < L otherwise s(x, t = 0) 0 (a) Find A so that the wavefunction is normalized. (b) Find '(z,t). (c) Find the expectation value(E) of the energy of ψ(x,t = 0). You may use the result mx n 2 0
1. A particle in an infinite square well has an initial wave...
A particle in an infinite square well has the initial wave function: (x,0)- A sin(x/a) (0 S a (a) (b) Determine A Find$(z,t) (Hint: You will need to break up this wavefunction into a superposition of pure states. Use orthogonality to find the coefficients.) (c) Calculate (x). Is it a function of time? (d) Calculate (H).
3. At time t-0 a particle is represented by the wave function A-if 0 < x<a ψ(x,0) = 0 otherwise where A, a, and b are constants. a) Normalize ψ(x,0). b) Draw (x,0). c) Where is the particle most likely to be found at t-0? d) What is the probability of finding the particle to the left of a? e) What is the expectation value of x?
The particle of mass m in the infinite square well (of width a) starts out of the left half of the well, and is (at 1-0) equally likely to be found at any point in that region, what is the initial wave function Ψ(0)? Assume it is real, do not forget to normalize it.
A particle in the infinite square well has as its initial wave function an even mixture of the first two stationary states: psi(x, 0) = A[psi_1 (x) + psi_2(x)]. Normalize psi(x, 0) (that is, find A). Find psi (x) and |psi (x, )|^2. Express the latter as a sinusoidal function of time. To simplify the result, let omega = pi^2 h/2ma^2. Compute < x >? Compute < p >? If you measured the energy of this particle, what values might...
A free proton has a wave function Psi (x) = A sin (kx), where k = 1.2 times 10^10 m^-1 What is the proton's lambda? What is the proton's momentum? What is the proton's speed? Normalize Psi (x) if the wave only exists inside an infinite square well with width a = 2.1 m, (so that Psi (x) = A sin (kx) between 0 < x < a and Psi (x) = 0 otherwise).
Suppose at a certain time to the wave function is, Ψ(x,6) N for all x between the values ofx = 1 cm and x = 2 cm. For all values ofx outside the interval [12] the wave function is zero. a) Normalize the wave function. (Solve for N). Pay attention to units! b) Sketch the probability density V(x,/,)(x, as a function of x c) What is the probability of finding the electron between 1.5 cm and 2.0 cm? d) What...
5. A free particle has the initial wave function, where A and a are positive real constants. (a) Normalize ψ(x,0). (b) Find φ(k). (c) Construct $(z,t), in the forn of an integral. (d) Discuss the limiting cases (a very large, and a very small).
Most questions answered within 3 hours.
-
3) What are the typical social structures in a global city?
asked 1 hour ago -
Luther Corporation
Consolidated Balance Sheet
December 31, 2019 and 2018 (in $ millions)
Assets
2019
2018...
asked 1 hour ago -
(Expected rate of return and risk) Carter Inc. is evaluating a
security. Calculate the investment’s expected...
asked 4 hours ago -
What specific indicators can point to lack of progress for
African Americans in American society?
asked 5 hours ago -
1-The Electrons in a beam are moving at 2.7×108 m/s in an
electric field of 15000...
asked 5 hours ago -
A gas tank is a vertical cylinder. It has a radius of 1m, a
height of...
asked 5 hours ago -
Accent Software faces the following conditions. All of these
support Accent’s use of a market-penetration pricing...
asked 6 hours ago -
A mathematically inclined friend emails you the following
instructions: "Meet me in the cafeteria the first...
asked 6 hours ago -
A monopoly sells in two countries . The demand curves in the two
countries are p1...
asked 7 hours ago -
A .15kg rubber ball is bounced off a wall. Before hitting the
wall, the ball moves...
asked 8 hours ago -
A manufacturing company preparing to build a new plant is
considering three potential locations for it....
asked 8 hours ago -
B. If compound Y has approximately the same values of solubility
in toluene as compound X,...
asked 9 hours ago