A free particle of mass M is located in a three-dimensional cubic potential well with impenetrable walls. The degeneracy of the fifth excited state of the particle is

Q: 1.2の う.00A 0.400 m Jュ= 2.00 A

A: I1 = 5.00 A I2 = 2.00 A L = 1.2 m d = 0.400 m

Q: An electron is trapped in an infinitely deep potential well of width L = 1 nm. By solving the…

A: Given, L= 1 nm

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Q: Calculate the reflection probability of a particle with a kinetic energy of Ekin = 4 eV at a…

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A: Particle in infinite potential well cannot escape the well according to classical theory. The…

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Q: Suppose that a spin-1/2 particle is in state =). What is the expectation value of the z-projection…

A: We will answer the question by writing and evaluating the expression for expectation value of an…

Q: It is observed that N/10 of the N particles, which are in one dimension, trapped in the potential in…

A: Given, N10 out of N particles=4E19N10=36 E1

Q: find the lowest energy of an electron confined in a box of length 0.2nm

A: Given: Particle confined: an electron Length of the confined box:  L=0.2 [nm]L=2×1010 [m] The lowest…

Q: It is known that 200 particles out of every 1000 particles in the infinite well potential with a…

A: When particle is subjected to a region whose boundary are impermeable or having infinite potential.…

Q: A particle with mass m is in the state „2 mx +iat 2h ¥(x, t) = Ae where A and a are positive real…

A: The wave function is given as  ψ(x,t)=Ae-amx22h+iat where A is the normalization constant.  First…

Q: Use the trial functions A 4₁ (α, x) = x² + a² and 4₂ (B,x) = Bx (x² + B²)² to obtain estimates for…

A: Given that, trial functionsΨ1(x) =Ax2+α2Ψ2(x) =Bx(x2+β2)2Energy of harmonic oscillator First we need…

Q: Given 4 = -sin(2x), find 4normatized, the normalized wave function for a 1-dimensional…

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Q: sing the properly normalized wave functions for a particle in an infinite one-dimensional well of…

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Q: For a particle in a cubical box dimensions L1= L2= L3= L, determine the energy values in the lowest…

A: The value of ratio is given asEnx,ny,nzh2/8mL2=L2nx2Lx2+ny2Ly2+nz2Lz2

Q: 2. Consider two vectors, and v₂ which lie in the x-y plane of the Bloch sphere. Find the relative…

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Q: The energy eigenvalues of a system are En = n²E₁. A superposition of n = 4 and n = 5 states is…

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Q: Solve time independent Schrodinger equation with appropriate for boundary conditions "centered"…

A: For the given problem, we have the following potential  V(x) = 0 for -a < x < a         = ∞…

Q: Consider a particle in 1D Box with length L,  and in a state n = 4. What is the probability of…

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Q: A particle in one-dimension is in the potental if xl If there is at least one bound state, the…

A: As given, The potential, Vx=∞     if x<0-V0  if 0≤x≤l0       if x>l Draw the figure for the…

Q: Consider a particle in a box with edges at x = ±a. Estimate its ground state energy using…

A: Approximations to the lowest energy eigenstate or ground state, as well as some excited states, can…

Q: A particle is in the ground state of an infinite square-well potential. The probability of finding…

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Q: emi conductor quantum dot (quantum well) for electrons with mass m* = 0.16 me. Suppose the well has…

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Q: A particle is placed in the potential well depth U.the width a is fixed in such a way that the…

A: Quantum tunneling may be a phenomenon during which particles penetrate a possible energy barrier…

Q: Consider an electron bound inside a quantum harmonic oscillator potential. What is the wavelength of…

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Q: Aparticle in one-dimension is in the potental if xl If there is at least one bound state, the…

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Q: An electron is trapped in an infinitely deep one-dimensional well of width 0,251 nm. Initially the…

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Q: For the three-dimensional cubical box, the ground state is given by n1= n2 = n3 = 1. Why is it not…

A: The energy in nth state is given by , En=n2x+n2y+n2zπ2h28ml2         where  ni=1,2,3....

Q: An electron is trapped in an infinitely deep one-dimensional well of width 10 nm. Initially, the…

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Q: An electron is trapped in a square well potential of infinite depth with width L. If the electron is…

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Q: Particle of mass m moves in a three-dimensional box with edge lengths L1, L2, and L3. (a) Find the…

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Q: Consider a particle of mass m subject to an attractive delta potential V(x) = - Vod(x), where Vo> 0…

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