Considering massive particle with K is a constant specifying the spatial curvature =0 would the dependence of a (t) scale factor of energy and momentum still holds? k is a constant specifying the spatial curvature and a(t) is the scalefactor

Q: In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Ä: (a) Estimate…

A: We have given information as-The distance between electron- proton of a hydrogen atom, d=0.53…

Q: What is the equation for the z component of the total angular moment J(z)?

A: To determine: Equation for the z-component of the total angular moment Jz.

Q: For a classical system of non-interacting particles in the presence of a spherically symmetric…

A:

Q: A proton is contained in an infinite one-dimensional box with a minimum kinetic energy of 7.9 MeV.…

A: Solution:-Given thatminimum kinetic energy (KEmin)=7.9 MeV

Q: For ultrarelativistic particles such as photons or high-energy electrons, the relation between…

A: Given: The length of box is L=10-15 m. The formula to calculate the energy of electron is, E=hcλ…

Q: Two identical bosons of mass m are placed in a one-dimensional potential 1 v(x)=mo'x². The bosons…

A:

Q: P2. Consider the motion of a particle of mass m moving in a 3-d potential, V(x, y, x) = k(x2 + y2 +…

A:

Q: (a) Describe the energy levels of the system. (b) Express the creation and annihilation operator in…

A:

Q: Harmonic oscillator eigenstates have the general form 1 μω 1/4 μω μωχ Hx₁ √2² (1) "*" ( √ ) (-1/²)…

A: The nodes are the points where ψn(x)=0 In option a, the quantity given is the normaization constant…

Q: Show that ugr correctly represents the velocity of the particle both relativistically and…

A: For non-relativistic case: ugr=dEdp=ddpp22m                    ∵E=p22m=2p2m=pmugr=v Therefore, in…

Q: View the particle system in a one-dimensional box in the range ≤ x ≤ of m-mass and q- charged…

A: The required solution is given below.

Q: A partick of mass m in the potential F (x,r)=m (4x+ ²), is in an cigenstate ofeneigy =: The…

A:

Q: PROBLEM 3. Calculate the following commutator: [L, f(r)], where L is the operator of orbital…

A: Note that the orbital angular momentum operator (L) may be expressed in spherical polar form from…

Q: energy levels En of the anharmonic oscillator in the first order in the pa- rameter 3 are given by:…

A: We can use the direct results here of expectation value of x4 in nth state.

Q: A particle with mass m is in a one-dimensional box with width L. If the energy of the particle is…

A: We know energy of a particle of manm in one dimension of width 'L' is given…

Q: (1) For the helium-neon laser, estimate the Doppler broadening of the output wavelength 632.8 nm at…

A: Part (1) Given: The output wavelength of laser is λ=632.8 nm. The temperature of the laser is T=293…

Q: by the 17. Calculate the average linear momentum of a particle described following wavefunctions:…

A: Given that the both wave functions is real , therefore we already know that average value or…

Q: The graph of a real periodic function f (x) for the range [-00, co] is shown below fx) AAA Which of…

A:

Q: What is WKB-approximations in Semi-classical physics?

A: What is WKB-approximations in Semi-classical physics?

Q: For a grand canonical ensemble, show that a ln Z + μ(N) (E)

A: This is a problem from thermal and statistical physics. To solve this problem, we use the partition…

Q: (a) Use the Heisenberg uncertainty principle to calculate the uncertainty in energy for a…

A: Given values:- Time interval,(t)=10-43 sec -----(1) Plank's Constant,(h)=6.6 x 10-34 J-sec ----(2)…

Q: (a) Given that a particle is restricted within a surface of a sphere in a three-dimensional space…

A:

Q: by using the annihilation operator prove that the wave function of ground state for harmonic…

A: Concept used: Annihilation operator acts on state and lowers by 1. It acts on ground state to give…

Q: A system has N weakly interacting identical particles. Each particle has 2 energy levels that are 0…

A: Given: The energy levels are 0 and α. The number function is ni=Ae-εikBT. Introduction: By…

Q: measurement of the angular momentum deterministic or probabilistic?

A: The measurement can be deterministic and probabilistic.

Q: The energy of the four non-interating identical fumions and bosons in one dimensional box of size a…

A: A fermion is a particle that follows Fermi–Dirac statistics. Electrons, Neutrinos, Muons fall under…

Q: Find the energy eigenvalues and eigenfunctions of a particle subjected to a potential \[…

A:

Q: (a) Use the Heisenberg uncertainty principle to calculate the uncertainty in energy for a…

A: a) The required uncertainty in energy is,

Q: (a) Prove that the exchange of a virtual particle of mass m can be associated with a force with a…

A: Using the uncertainty relation, Now, the equation for the distance traveled by the particle can be…

Q: Find the energy eigen value of the particle

A:

Q: Using the equations of motion for operators in the Heisenberg representation, calculate the…

A: The Heisenberg's equation of motion is given by ihdAdt=A(t), H(t)+ih ∂A∂tThe schrodinger's…

Q: VE Sin (*) oCrs n= 1,2,3 PncX) = x >L whatis th momentum e igen ualues and eigen state

A:

Q: En = n²x²+² 2m l² momentum expectation value for this particle. TT • Find the momentuma eigenvalues…

A: Have a look dear

Q: Show that if (x) and (x) are solutions of the time independent Schrödinger equation, Y(x,t) =…

A:

Q: Two bodies with reduced masses m, and m, interact via the central force F = -k- a. The effective…

A: Let T be defined as the kinetic energy, U be defined as the potential energy. If T be defined as the…

Q: 32. (II) Two equal but opposite charges are separated by a distance d, as shown in Fig. 23-28.…

A:

Q: (a) A non-relativistic, free particle of mass m is bouncing back and forth between two perfectly…

A: Quantum mechanics is a field of physics that studies the behavior of microscopic particles and their…

Q: A partick of mass m in the potential (x, y)= (4x +²), is in an eigenstate of enagy *: The…

A: