LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
... 17. Prove the commutation relation [p2x, x] = -2iћp. 18. Illustrate the Pauli Exclusion Principle for the ground state of He atom. 19. At what distance from the nucleus is the probability of finding the electron a maximum for a 1S electron in hydrogen? 20. While the order is the same for both C3v a ...
... 17. Prove the commutation relation [p2x, x] = -2iћp. 18. Illustrate the Pauli Exclusion Principle for the ground state of He atom. 19. At what distance from the nucleus is the probability of finding the electron a maximum for a 1S electron in hydrogen? 20. While the order is the same for both C3v a ...
Calculating particle properties of a wave
... Typical wavelength of an electron • The wavelength of an electron is very short and hard to measure with macroscopic tools. • The spacing of nickel atoms in a crystal was needed to demonstrate electron diffraction. • A typical electron energy in a solid with 1eV energy has a wavelength of only 1 na ...
... Typical wavelength of an electron • The wavelength of an electron is very short and hard to measure with macroscopic tools. • The spacing of nickel atoms in a crystal was needed to demonstrate electron diffraction. • A typical electron energy in a solid with 1eV energy has a wavelength of only 1 na ...
Structure of matter.
... Pauli exclusion principle – in one atomic electron shell there cannot be present two or more electrons with the same set of quantum numbers. ...
... Pauli exclusion principle – in one atomic electron shell there cannot be present two or more electrons with the same set of quantum numbers. ...
Quantum Theory of Atoms and Molecules
... Electrostatics and Wave phenomena. Coulomb’s law, charge, electric field, electrostatic potential, dipole moment, polarisability; simple harmonic motion, forced oscillations, resonance; standing waves, travelling waves, transverse waves, longitudinal waves; the wave equation. ...
... Electrostatics and Wave phenomena. Coulomb’s law, charge, electric field, electrostatic potential, dipole moment, polarisability; simple harmonic motion, forced oscillations, resonance; standing waves, travelling waves, transverse waves, longitudinal waves; the wave equation. ...
Chapter 7
... Microscopic dynamics: Quantum mechanics • Classical physics failed to account for the existence of discrete energies of atoms and other experiments in the early 20th century. • Such total failures show that the basic concept of classical mechanics need to be corrected fundamentally. • A new mechani ...
... Microscopic dynamics: Quantum mechanics • Classical physics failed to account for the existence of discrete energies of atoms and other experiments in the early 20th century. • Such total failures show that the basic concept of classical mechanics need to be corrected fundamentally. • A new mechani ...
Indiana University Physics P301: Modern Physics Review Problems
... (a) For the case E < U0 , obtain solutions to the Schrodinger equation inside the well (0 < x < L) and in the region beyond (x > L) that satisfy the appropriate boundary conditions at x = 0 and at x = ∞. (b) What are the boundary conditions at x = 0 and x = L? Enforce these conditions to find the al ...
... (a) For the case E < U0 , obtain solutions to the Schrodinger equation inside the well (0 < x < L) and in the region beyond (x > L) that satisfy the appropriate boundary conditions at x = 0 and at x = ∞. (b) What are the boundary conditions at x = 0 and x = L? Enforce these conditions to find the al ...
Postulate 1
... example, eimx , where m is an integer, then we will need the complex conjugate wave function ψ*(x) = e-imx. ...
... example, eimx , where m is an integer, then we will need the complex conjugate wave function ψ*(x) = e-imx. ...
Notes
... When certain metals are illuminated by light, they eject "photoelectrons." In the wave model of light, where energy was proportional to intensity squared, a brighter light should eject electrons that travel faster (from the extra energy). Instead, a brighter light just ejected more electrons with no ...
... When certain metals are illuminated by light, they eject "photoelectrons." In the wave model of light, where energy was proportional to intensity squared, a brighter light should eject electrons that travel faster (from the extra energy). Instead, a brighter light just ejected more electrons with no ...
2010 midterm exam - MIT OpenCourseWare
... 7. A particle is in the quantum state ψ = B cos( 2x). a) What are the possible results of a momentum measurement? b) What are the probabilities of each possible momentum measurement? 8. A particle is in the quantum state, ψ = Ae−i79kx . a) What are the possible results of a momentum measurement? b) ...
... 7. A particle is in the quantum state ψ = B cos( 2x). a) What are the possible results of a momentum measurement? b) What are the probabilities of each possible momentum measurement? 8. A particle is in the quantum state, ψ = Ae−i79kx . a) What are the possible results of a momentum measurement? b) ...
January 1999
... When a charged particle (of mass m and charge e) interacts with a linearly polarized plane wave (with electric field Ex = E0 cos(kz − ωt)), the particle’s motion includes a transverse oscillation. In the frame in which the particle is at rest on average, the motion is purely transverse if eE0 /mωc ...
... When a charged particle (of mass m and charge e) interacts with a linearly polarized plane wave (with electric field Ex = E0 cos(kz − ωt)), the particle’s motion includes a transverse oscillation. In the frame in which the particle is at rest on average, the motion is purely transverse if eE0 /mωc ...
The Wave Nature of Matter - Waterford Public Schools
... speed, v, other than the speed of light will have a wave nature consistent with a wavelength given by the equation: h λ= mν λ ...
... speed, v, other than the speed of light will have a wave nature consistent with a wavelength given by the equation: h λ= mν λ ...
PARTICLE IN AN INFINITE POTENTIAL WELL
... Because the wave functions are normalized the denominator is unity. You can show, either by symmetry arguments or by explicit integration, that the result is L/2, which agrees with the classical result. This process may be performed for any other observable. For example, the average momentum or the ...
... Because the wave functions are normalized the denominator is unity. You can show, either by symmetry arguments or by explicit integration, that the result is L/2, which agrees with the classical result. This process may be performed for any other observable. For example, the average momentum or the ...
Problem set 7
... 1. Is the superposition of a pair of quantum mechanical pure states a mixed state? Why or why not? 2. Is a linear combination of density matrices an allowed density matrix in general? Why? 3. An SG apparatus with inhomogeneous magnetic field in the z direction is fed an unpolarized beam of atoms wit ...
... 1. Is the superposition of a pair of quantum mechanical pure states a mixed state? Why or why not? 2. Is a linear combination of density matrices an allowed density matrix in general? Why? 3. An SG apparatus with inhomogeneous magnetic field in the z direction is fed an unpolarized beam of atoms wit ...