Question
In the infinite well potential of width a, the spin states are two electrons as shown in the figure.
exists. Considering the fermion property of electrons, the ψ(1,2) waveform of these two particle systems
Write the function. Find the total energy of the system
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 2 steps with 2 images
Knowledge Booster
Similar questions
- In the following potential well there are 2 non-interacting electrons with the same spin. If it is known that this is at the lowest energy, what is the wave function of this 2-particle system? ∞ , x aarrow_forward2 Consider a one-dimensional infinite well of width w along z-axis. Find the ground state energy and wave function of a system of N noninteracting identical particles that are confined to when the particles are bosons and spin 1/2 fermions.arrow_forwardsolve the problem An electron with angular momentum {= 1 exists in the state X = A Where A is the normalization constant. A) Find the value of A B) If a measurement of Ldis made, what values will be obtained, and with what probabilities?arrow_forward
- results. OAKL Consider a pne dimensional infinite-wall potential V = ∞ for > Land z<0, and V0 for There are two identical spin half fermions in this potential well and spin states are dened by) and 4) for spin up and down, respectively. a) (Very easy) Find the eigenvalues and the corresponding wave functions for the potential well. b) (Ensy) Write the full wave function for the fermions in singlet state with possible minimum energy. e) (Easy) Write the full wave function for the fermions in triplet state with possible minimum energyarrow_forward# quantum mechanical particde in a harmonic osci lator potential has the initial wave function y,)+4,(x), where Y. and Y, are the real wavefunctions in the ground and fist exci ted state of the harmonic osciclator Hamiltonian- for Convenience we take mzhzw= 1 for the oscillator- What ở the probabilpty den sity of finding the par ticke at x at time tza?arrow_forwardConsider a one-dimensional infinite well of width w along the z-axis. Find the ground state energy and wave function of a system of N noninteracting identical particles that are confined to when the particles are bosons and spin 1/2 fermions.arrow_forward
- What will happen if we put a spin-1 particle inside the 3D potentialwell? Find out the density of states for the system.arrow_forwardexplain the Fermi Dirac distributionarrow_forwardWrite down the confi gurations for the ground states of calcium and aluminum. What are the LS coupling quantum numbers for the outside subshell electrons? Write the spectroscopic symbol for each atomarrow_forward
- Question A2 Consider an infinite square well of width L, with V = 0 in the region -L/2 < x < L/2 and V → ∞ everywhere else. For this system: a) Write down and solve the time-independent Schrödinger equation for & inside the well, where -L/2< xarrow_forwardConsider a particle of massmin a rectangular solid box with edge lengthsa,b, andc, givenbyb=2aandc=2a. Find the degeneracies of the first 10 energy levels for the system. (Please type answer no write by hend)arrow_forwardarrow_back_iosarrow_forward_ios