Problem set 5
... 4. Suppose J~ = ~L + S~ is the sum of orbital and spin angular momentum of an electron (say in a hydrogenic atom). Does ~L · S~ commute with each of J 2 , Jz , L2 and S 2 ? 5. Find the matrix elements of the spin-orbit interaction between coupled basis states h j m j l s | f (r)~L · S~ | j0 m j 0 l0 ...
... 4. Suppose J~ = ~L + S~ is the sum of orbital and spin angular momentum of an electron (say in a hydrogenic atom). Does ~L · S~ commute with each of J 2 , Jz , L2 and S 2 ? 5. Find the matrix elements of the spin-orbit interaction between coupled basis states h j m j l s | f (r)~L · S~ | j0 m j 0 l0 ...
Review PH301 -- duality, wavefunction, probability
... OR you can think of wavefucntion as having two components like light has E-field and B-field each component will be real but you will have two components to calculate with two coupled differential eqns complex functions make the math easier! ...
... OR you can think of wavefucntion as having two components like light has E-field and B-field each component will be real but you will have two components to calculate with two coupled differential eqns complex functions make the math easier! ...
The Photoelectric Effect
... •When the light intensity is very low there should be a time delay before the photoelectron emission •Experimental observation: •Kinetic energy of the photoelectrons is independent of the light intensity but increases with the frequency •No photoelectrons are emitted below some cutoff frequency fc • ...
... •When the light intensity is very low there should be a time delay before the photoelectron emission •Experimental observation: •Kinetic energy of the photoelectrons is independent of the light intensity but increases with the frequency •No photoelectrons are emitted below some cutoff frequency fc • ...
Schrödinger`s Wave Mechanical Model
... proposing that energy could be gained or lost in whole number multiples of the quantity hυ. In other words, energy behaved like small, independent “particles” of light energy. From this work, Planck’s equation was derived. E = hυ This was a BIG DEAL, because it indicates that energy could be quantiz ...
... proposing that energy could be gained or lost in whole number multiples of the quantity hυ. In other words, energy behaved like small, independent “particles” of light energy. From this work, Planck’s equation was derived. E = hυ This was a BIG DEAL, because it indicates that energy could be quantiz ...
Liad Elmelech 7.1-7.3 The Nature of Light, Atomic Spectroscopy
... a single electron. This energy is ionization energy. • Threshold frequency reached when energy of a photon (hv) = binding energy(φ) • hv = φ • Low frequency light does not eject electrons because no single photon has enough energy to dislodge • Energy of a photon that is beyond what is needed to dis ...
... a single electron. This energy is ionization energy. • Threshold frequency reached when energy of a photon (hv) = binding energy(φ) • hv = φ • Low frequency light does not eject electrons because no single photon has enough energy to dislodge • Energy of a photon that is beyond what is needed to dis ...
Document
... cannot have the same speed because of the difference in their masses. For the same reason, remembering that KE = p2/2m, they cannot have the same kinetic energy. Because the kinetic energy is the only type of energy an isolated particle can have, and we have argued that the particles have different ...
... cannot have the same speed because of the difference in their masses. For the same reason, remembering that KE = p2/2m, they cannot have the same kinetic energy. Because the kinetic energy is the only type of energy an isolated particle can have, and we have argued that the particles have different ...
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
... 1) Prove that the momentum operator is self adjoint. 2) In what way is the orthonormal property of eigenfunctions belonging to discrete set of eigenvalues different from those of continuous set? 3) Define parity operator. What is its action on a wave function ψ ( r, θ, φ)? 4) What is a rigid rotator ...
... 1) Prove that the momentum operator is self adjoint. 2) In what way is the orthonormal property of eigenfunctions belonging to discrete set of eigenvalues different from those of continuous set? 3) Define parity operator. What is its action on a wave function ψ ( r, θ, φ)? 4) What is a rigid rotator ...
Assignment #1
... Problem #7: A relativistic subatomic particle of mass m is moving away from the detector when it spontaneously decays, sending a photon toward the detector. The photon is observed to be red shifted by a factor of 100, that is , its energy is 1% of the energy of the photon measured in the frame where ...
... Problem #7: A relativistic subatomic particle of mass m is moving away from the detector when it spontaneously decays, sending a photon toward the detector. The photon is observed to be red shifted by a factor of 100, that is , its energy is 1% of the energy of the photon measured in the frame where ...
Ch. 6 notes
... Calculate the energy required to excite the hydrogen electron from level n=1 to level n=2. Also calculate the wavelength of light that must be absorbed by a hydrogen atom in its ground state to reach this excited state. ...
... Calculate the energy required to excite the hydrogen electron from level n=1 to level n=2. Also calculate the wavelength of light that must be absorbed by a hydrogen atom in its ground state to reach this excited state. ...
Heisenberg uncertainty principle
... between the so-called Copenhagen interpretation of Quantum Mechanics and the reality of macroscopic measurements. He proposed that a cat be placed in a sealed box. The release of a poison is then subject to the probabilistic decay of a radioactive isotope. If the isotope decays, the poison is rele ...
... between the so-called Copenhagen interpretation of Quantum Mechanics and the reality of macroscopic measurements. He proposed that a cat be placed in a sealed box. The release of a poison is then subject to the probabilistic decay of a radioactive isotope. If the isotope decays, the poison is rele ...
Topics covered in PH112 - Rose
... Parallel-axis theorem Torque, moment arm, line of action of F Newton’s second law in angular form Work and rotational kinetic energy Rolling bodies, KE in terms of center of mass Angular momentum of a system of particles, and of a rigid body Conservation of angular momentum Simple harmonic motion: f ...
... Parallel-axis theorem Torque, moment arm, line of action of F Newton’s second law in angular form Work and rotational kinetic energy Rolling bodies, KE in terms of center of mass Angular momentum of a system of particles, and of a rigid body Conservation of angular momentum Simple harmonic motion: f ...
453 Introduction to Quantum Mechanics (Winter 2005)
... ii) Find the expectation value of Sx and Sz . 5. Suppose you had three particles in a one-dimensional harmonic oscillator potential, in thermal equilibrium, with total energy E = (9/2)h̄ω. If they are distinguishable particles (but all with the same mass),( i) what are the possible occupationnumber ...
... ii) Find the expectation value of Sx and Sz . 5. Suppose you had three particles in a one-dimensional harmonic oscillator potential, in thermal equilibrium, with total energy E = (9/2)h̄ω. If they are distinguishable particles (but all with the same mass),( i) what are the possible occupationnumber ...
from last time:
... The model: electrons move in orbits in which the centripetal force due to the coulomb attraction keeps them in a stable circular orbital, like gravity keeping planets in orbit. We only consider a one electron atom so we don’t have to worry ...
... The model: electrons move in orbits in which the centripetal force due to the coulomb attraction keeps them in a stable circular orbital, like gravity keeping planets in orbit. We only consider a one electron atom so we don’t have to worry ...
