Thursday, 1/29/09 - Liberty Union High School District
... •Max Planck-hot objects emit energy not as waves, but in packets called “quanta” •“quantum”-minimum energy that can be gained or lost by an atom •E = h •E = energy •h = Planck’s constant (6.626 x 10-34 Js) • = frequency (in s-1) ...
... •Max Planck-hot objects emit energy not as waves, but in packets called “quanta” •“quantum”-minimum energy that can be gained or lost by an atom •E = h •E = energy •h = Planck’s constant (6.626 x 10-34 Js) • = frequency (in s-1) ...
Schrödinger`s Wave Mechanical Model
... matter could behave like waves. However, the wave properties of matter only become significant as the form of matter becomes smaller. This work resulted in what is known as the Wave-Particle Duality of Nature which states that matter and energy can both behave as a particle and as a wave, but not at ...
... matter could behave like waves. However, the wave properties of matter only become significant as the form of matter becomes smaller. This work resulted in what is known as the Wave-Particle Duality of Nature which states that matter and energy can both behave as a particle and as a wave, but not at ...
Quantum Mechanics
... 2. The hydrogen atom wave function may be written as R(r)Y`m (θ, φ), where R is the radial function and Y`m are the spherical harmonics. a. What is the differential equation for R(r)? b. The differential equation may be simplified somewhat by changing r and E into ρ = r/a0 and W = E/[ke2 /(2a0 )], w ...
... 2. The hydrogen atom wave function may be written as R(r)Y`m (θ, φ), where R is the radial function and Y`m are the spherical harmonics. a. What is the differential equation for R(r)? b. The differential equation may be simplified somewhat by changing r and E into ρ = r/a0 and W = E/[ke2 /(2a0 )], w ...
Molekylfysik - Leiden Institute of Physics
... The wave function must be continuous at the edges of the barrier (for x=0 and L): (1) For x=0: (x<0)= (0L)= CeqL + De-qL= A’eikL
The derivative of the wave function must be also continuous (see 1.4.B, no singular point ...
... The wave function must be continuous at the edges of the barrier (for x=0 and L): (1) For x=0: (x<0)= (0
Lecture Notes, Feb 29
... in terms of de Broglie waves. The lead player in the equation is a quantity called Ψ ( pronounced ”sigh” ) which is called the wave function. • Instead of describing particle by its position and velocity, in Schr”odinger’s equation, the particle is described by wave function Ψ. • Even in classical p ...
... in terms of de Broglie waves. The lead player in the equation is a quantity called Ψ ( pronounced ”sigh” ) which is called the wave function. • Instead of describing particle by its position and velocity, in Schr”odinger’s equation, the particle is described by wave function Ψ. • Even in classical p ...
Quantum Mechanical Model
... Directions: Complete the following notes and charts as you read through section 4.2 in your textbook. ...
... Directions: Complete the following notes and charts as you read through section 4.2 in your textbook. ...
![ChemChapter_4[1]Light](http://s1.studyres.com/store/data/001894151_1-323884b777914f52c04d2bb917d4088a-300x300.png)
Physics IV - Exam - Winter 2007/08 Please note:
... (b) Consider a molecule with three energy levels. The lowest state has energy E0 = 0. The two excited states have energies E1 and E2 respectively (E2 > E1 ). All states have g(Ei ) = 1. (c) A population of n molecules are in thermal equilibrium at temperature T . What fraction f1 of the molecules ar ...
... (b) Consider a molecule with three energy levels. The lowest state has energy E0 = 0. The two excited states have energies E1 and E2 respectively (E2 > E1 ). All states have g(Ei ) = 1. (c) A population of n molecules are in thermal equilibrium at temperature T . What fraction f1 of the molecules ar ...
Quantum Mechanical Simulations of Electronic Excited States of
... Our research focuses on the theoretical simulation of the photochemistry of complex chromophores with applications in materials and energy science. To this goal, we are developing 1) accurate electronic structure methods based primarily on coupled cluster theory, and 2) multiscale models that are ab ...
... Our research focuses on the theoretical simulation of the photochemistry of complex chromophores with applications in materials and energy science. To this goal, we are developing 1) accurate electronic structure methods based primarily on coupled cluster theory, and 2) multiscale models that are ab ...
1-d examples
... Notice that this is exactly the same as the probability it was initially (i.e., at t=0) in its ground state! More generally, for time-independent potentials, the probability that a particle is in its nth energy eigenstate doesn’t change in time! That’s why the energy eigenstates are called “stationa ...
... Notice that this is exactly the same as the probability it was initially (i.e., at t=0) in its ground state! More generally, for time-independent potentials, the probability that a particle is in its nth energy eigenstate doesn’t change in time! That’s why the energy eigenstates are called “stationa ...
Particle in a box
In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.