22. Linear Equations
... I = e 2dx = e2x . Multiply the equation by it to get y 0 e2x + 2e2x y = 2ex e2x . Note that the left side is the derivative of the product ye2x (check: the product rule for ye2x gives you y 0 e2x +2e2x y which is exactly the left side). So, the equation becomes (ye2x )0 = 2e3x . Integrate both sides ...
... I = e 2dx = e2x . Multiply the equation by it to get y 0 e2x + 2e2x y = 2ex e2x . Note that the left side is the derivative of the product ye2x (check: the product rule for ye2x gives you y 0 e2x +2e2x y which is exactly the left side). So, the equation becomes (ye2x )0 = 2e3x . Integrate both sides ...
Presentation #2
... Eventually these light quanta became known as photons. In 1924 Louis de Broglie proposed that if light (a classical wave) can display particle-like behavior, then matter (classical particles) should likewise display wave-like behavior under particular experimental conditions. ...
... Eventually these light quanta became known as photons. In 1924 Louis de Broglie proposed that if light (a classical wave) can display particle-like behavior, then matter (classical particles) should likewise display wave-like behavior under particular experimental conditions. ...
Lecture Notes for Section 2.1
... what you want the answer to be, but you don’t know what number to put in for your variable to get that answer you want. Finding that number is called “solving” the equation. Solving an equation involves “undoing” the calculation represented by the expression to expose the variable. To “undo” an expr ...
... what you want the answer to be, but you don’t know what number to put in for your variable to get that answer you want. Finding that number is called “solving” the equation. Solving an equation involves “undoing” the calculation represented by the expression to expose the variable. To “undo” an expr ...
Chapt. 5: Quantum Theory of the Hydrogen Atom
... lines from Hydrogen (which are called the Balmer Series) •Implies that there is some underlying order in the atom that results in this deceptively simple equation. ...
... lines from Hydrogen (which are called the Balmer Series) •Implies that there is some underlying order in the atom that results in this deceptively simple equation. ...
Quantum Mechanics: Commutation
... that correspond to the operator. The operator is taken to be acting on a wavefunction that is either a pure eigenfunction of the operator of interest, or an expansion in the basis of eigenfunctions. In order to measure, for instance, 2 properties simultaneously, the wavefunction of the particle must ...
... that correspond to the operator. The operator is taken to be acting on a wavefunction that is either a pure eigenfunction of the operator of interest, or an expansion in the basis of eigenfunctions. In order to measure, for instance, 2 properties simultaneously, the wavefunction of the particle must ...
On the Quantum Aspects of Geophysics
... find the correct boundary conditions to investigate properly the singularity problems in general relativity, and the value of h is not of prime importance. In other words, to the extent we are dealing with the characteristic behavior of the wave function of the universe, namely |Ψ|2 , we may ignore ...
... find the correct boundary conditions to investigate properly the singularity problems in general relativity, and the value of h is not of prime importance. In other words, to the extent we are dealing with the characteristic behavior of the wave function of the universe, namely |Ψ|2 , we may ignore ...
Covalent Bonding
... In practice the intermolecular potential VAB(r) depends also on electronic wavefunction ψAB, and so the equation must be solved self-consistently. Here we will approximate the intermolecular potential as the sum of the individual free atomic potentials. For covalently bonded systems this is often qu ...
... In practice the intermolecular potential VAB(r) depends also on electronic wavefunction ψAB, and so the equation must be solved self-consistently. Here we will approximate the intermolecular potential as the sum of the individual free atomic potentials. For covalently bonded systems this is often qu ...
Physics 214b-2008 Walter F
... IMPORTANT: This exam will be truly cumulative, i.e. it will cover material from the entire semester. For example, it will cover material such as the quantum nature of light that we discussed back in chapter 1. However, there will be some extra emphasis on the material since exam 2, since you’ve not ...
... IMPORTANT: This exam will be truly cumulative, i.e. it will cover material from the entire semester. For example, it will cover material such as the quantum nature of light that we discussed back in chapter 1. However, there will be some extra emphasis on the material since exam 2, since you’ve not ...