III. Quantum Model of the Atom
... Impossible to know both the velocity and position of an electron at the same time ...
... Impossible to know both the velocity and position of an electron at the same time ...
Physics: A Brief Summary
... we write with lower indices. These are also called covariant coordinates of the vector. Whenever an index appears repeated in two places of an expression we assume that we must sum respect to all values of that index (Einstein’s convention), so for instance we can write Aµ = ηµν Aν without explicitl ...
... we write with lower indices. These are also called covariant coordinates of the vector. Whenever an index appears repeated in two places of an expression we assume that we must sum respect to all values of that index (Einstein’s convention), so for instance we can write Aµ = ηµν Aν without explicitl ...
Coordination Chemistry III: Electronic Spectra
... constitutes a microstate of the configuration. – How many microstates in a d1 configuration? – Examine the carbon atom (p2 configuration) • Determine the electron configuration and quantum numbers. • Independently, each of the 2p electrons could have one of six possible combinations. The two electro ...
... constitutes a microstate of the configuration. – How many microstates in a d1 configuration? – Examine the carbon atom (p2 configuration) • Determine the electron configuration and quantum numbers. • Independently, each of the 2p electrons could have one of six possible combinations. The two electro ...
Chapter 4
... • It was discovered that light and e- both have wavelike and particle-like properties ...
... • It was discovered that light and e- both have wavelike and particle-like properties ...
The evolution of Pauli`s exclusion principle
... kind terms not as fulfilling a merely regulative demand in the Kantian sense (i.e., as if nature were ordered according to those taxonomic relationships), but rather as fixing an order of things in nature in the Aristotelian/neo-Platonic sense (i.e., nature is so ordered).’’ (italics in the original). ...
... kind terms not as fulfilling a merely regulative demand in the Kantian sense (i.e., as if nature were ordered according to those taxonomic relationships), but rather as fixing an order of things in nature in the Aristotelian/neo-Platonic sense (i.e., nature is so ordered).’’ (italics in the original). ...
Quantum states
... wave packet (= wave function). • A quantum state is characterized by a set of quantum numbers, such as the energy E. • Quantum numbers can be measured exactly. For example, the uncertainty E is zero for a stable state, where one can take an infinite time t for measuring the energy. ...
... wave packet (= wave function). • A quantum state is characterized by a set of quantum numbers, such as the energy E. • Quantum numbers can be measured exactly. For example, the uncertainty E is zero for a stable state, where one can take an infinite time t for measuring the energy. ...
Quantum `jump`
... wave packet (= wave function). • A quantum state is characterized by a set of quantum numbers, such as the energy E. • Quantum numbers can be measured exactly. For example, the uncertainty E is zero for a stable state, where one can take an infinite time t for measuring the energy. ...
... wave packet (= wave function). • A quantum state is characterized by a set of quantum numbers, such as the energy E. • Quantum numbers can be measured exactly. For example, the uncertainty E is zero for a stable state, where one can take an infinite time t for measuring the energy. ...
PART 1 Identical particles, fermions and bosons. Pauli exclusion
... The spin-statistics theorem can be proven in relativistic quantum mechanics. Technically the theorem is based on the fact that due to the structure of the Lorentz transformation the wave equation for a particle with spin 1/2 is of the first order in time derivative (see discussion of the Dirac equat ...
... The spin-statistics theorem can be proven in relativistic quantum mechanics. Technically the theorem is based on the fact that due to the structure of the Lorentz transformation the wave equation for a particle with spin 1/2 is of the first order in time derivative (see discussion of the Dirac equat ...
Atomic and Molecular Physics for Physicists Ben-Gurion University of the Negev
... angular momentum J, and as JZ=LZ+SZ, and as, when calculating the distances and therefore the forces one has to take into account that g for the orbital motion is gL=1 while for the spin is gS=2, we will have the following forces acting on the atoms: F(LZ=+1, SZ=+1/2), F(LZ=+0, SZ=+1/2), F(LZ=-1, SZ ...
... angular momentum J, and as JZ=LZ+SZ, and as, when calculating the distances and therefore the forces one has to take into account that g for the orbital motion is gL=1 while for the spin is gS=2, we will have the following forces acting on the atoms: F(LZ=+1, SZ=+1/2), F(LZ=+0, SZ=+1/2), F(LZ=-1, SZ ...
l - Evergreen
... • Rutherford observed nuclear scattering, invented orbital atom • Bohr quantized angular momentum, improved H atom model. • Bohr model explained observed H spectra, derived En = E/n2 and phenomenological Rydberg constant ...
... • Rutherford observed nuclear scattering, invented orbital atom • Bohr quantized angular momentum, improved H atom model. • Bohr model explained observed H spectra, derived En = E/n2 and phenomenological Rydberg constant ...
Lie Algebras and the Schr¨odinger equation: (quasi-exact-solvability, symmetric coordinates) Alexander Turbiner
... ⋆ (degenerate) Quantum top in constant magnetic field ⋆ # of known eigenstates ≡ dimension of finite-dimensional irreducible representation ⋆ Finite-dimensional invariant subspace Pn of hn (t, ∂t ) ≡ finite-dimensional irreducible representation space of gl (2) Quasi-exactly-solvable Hamiltonian Hn ...
... ⋆ (degenerate) Quantum top in constant magnetic field ⋆ # of known eigenstates ≡ dimension of finite-dimensional irreducible representation ⋆ Finite-dimensional invariant subspace Pn of hn (t, ∂t ) ≡ finite-dimensional irreducible representation space of gl (2) Quasi-exactly-solvable Hamiltonian Hn ...
Document
... significant spin-orbit coupling (relativistic effect). Energy also depends on J. • For very heavy atoms, a j-j coupling is needed, where j = l + s for each electron. ...
... significant spin-orbit coupling (relativistic effect). Energy also depends on J. • For very heavy atoms, a j-j coupling is needed, where j = l + s for each electron. ...
