Question

What operators commute with the Hamiltonian of a Deuterium Atom in the state n=1 (ie, what...

What operators commute with the Hamiltonian of a Deuterium Atom in the state n=1 (ie, what quantum numbers describe the system)?. The nucleus has spin i =1 and will induce hyperfine splitting.

Homework Answers

Answer #1

The operators that commutes with Hamiltonian of a Deuterium atom are:

1. Energy Operator

2. Orbital Angular Momentum Operator

3. Spin Angular Momentum Operator

the quantum numbers that describe the system are:

i. n = principle quantum number

ii. = Angular Momentum quantum number

iii. = Spin quantum number

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(I) What is the full ground state electron configuration for a neutral atom with ? =...
(I) What is the full ground state electron configuration for a neutral atom with ? = 22 protons? (II) A hydrogen atom with a principal quantum number of ? = 4. a. write all the possible values for the other quantum numbers. b. calculate the total number of possible quantum states that can exist for this principal quantum state. (III) An excited hydrogen atom is in the 6?1 state. a. What is the principal quantum number of the electron? b....
For the 3d state (orbital) of the hydrogen atom, the principal quantum number n=3. The orbital...
For the 3d state (orbital) of the hydrogen atom, the principal quantum number n=3. The orbital quantum number l = 2. For an electron with these quantum numbers, what is the smallest angle (in degrees) that an electron's spin axis (angular momentum axis) can make with respect to an applied magnetic field?
A hydrogen atom stays in the 3rd excited state (n = 4). Consider of the quantum...
A hydrogen atom stays in the 3rd excited state (n = 4). Consider of the quantum behavior of the electron, but ignore the quantum behavior of the nucleus. (a) What are the possible values for the quantum number l and what are the corresponding orbitals? Write down the magnitude of each orbital angular momentum (in units of ħ). (b) For each value of l, what are possible values for the quantum number ml and the magnitude of the z component...
Quantum Mechanics II (Griffiths) The hydrogen atom is in state n = 3. What is the...
Quantum Mechanics II (Griffiths) The hydrogen atom is in state n = 3. What is the energy of the state in eV? What is the degeneracy? List all possible quantum numbers l and m.
what feature of the operators H(Hamiltonian) L^2 (orbital angular momentum)and Lz(z-component of the orbital angular momentum)makes...
what feature of the operators H(Hamiltonian) L^2 (orbital angular momentum)and Lz(z-component of the orbital angular momentum)makes it possible for E, L^2 and Lz to have definite non-zero values in the coulomb model hydrogen atom state? discuss whether any state of a hydrogen atom can exist that has definite non-zero values for E, L^2 and Lx
A hydrogen atom at rest is initially in an excited state corresponding to n = 5....
A hydrogen atom at rest is initially in an excited state corresponding to n = 5. a- Give the quantum numbers (l) and (m) which correspond to n = 5 b- What is the ionization energy of the atom in this state? c- What is the frequency of the photon emitted when it returns to its ground state n = 1? d- Estimate the momentum and the kinetic energy of the atom's recoil during the photon emission. mH= 1.007825? 1?...
.Consider the atom having the electron configuration 1s​22s​22p​6 3s​2 3p​1 . Assume that the z components...
.Consider the atom having the electron configuration 1s​22s​22p​6 3s​2 3p​1 . Assume that the z components of both the orbital and spin angular momenta of the electron in the 3p subshell are positive. What are the quantum numbers that describe the state of this electron? n=2, l=3, m=1 n=3, l=2, m=1, s=1/2 n=3, l=1, m=2, s=1/2 n=3, l=1, m=1, s=1/2 n=3, l=1, m=−1, s=1/2 n=3, l=2, m=2, s=−1/2
A Hydrogen atom initially in n = 3 , l = 2 , ml = -1,...
A Hydrogen atom initially in n = 3 , l = 2 , ml = -1, and ms =+1/2 state absorbs a photon and transitioned to n = 4 state. Question: What are the possible final quantum numbers? A. n = 4,  l =  2,  ml  = -1, ms   = +1/2 B. n = 4, l = 2, ml = -1, ms = +1/2 C. n = 4 , l = 1 , ml  = 0, ms = +1/2 D. n = 4, l = 3...
An electron in an excited state of a hydrogen atom emits two photons in succession, the...
An electron in an excited state of a hydrogen atom emits two photons in succession, the first at 3037 nm and the second at 94.92 nm, to return to the ground state (n=1). For a given transition, the wavelength of the emitted photon corresponds to the difference in energy between the two energy levels. What were the principal quantum numbers of the initial and intermediate excited states involved?
If a hydrogen atom is excited from an n=1 state to an n=4 state, how much...
If a hydrogen atom is excited from an n=1 state to an n=4 state, how much energy does this correspond to? Is this an absorption or an emission? What is the wavelength of the photon involved in this process? To what region of the electromagnetic spectrum does this correspond?