
“What is quantum theory about?” Jos Uffink March 26, 2010, Utrecht
... where Sd is the single-particle state space, and P(ρ) some probability density over Sd . ...
... where Sd is the single-particle state space, and P(ρ) some probability density over Sd . ...
Chapter 6 and 7 Reading Guide Electronic Structure of Atoms and
... What is the shape of an s orbital? What is the difference between a 1s, 2s or 3s orbital? ...
... What is the shape of an s orbital? What is the difference between a 1s, 2s or 3s orbital? ...
Teaching the Atomic Theory: A Visual
... You, that I now mean by Elements, as those Chymists that speak plainest do by their Principles, certain Primitive and Simple, or perfectly unmingled bodies; which not being made of any other bodies, or of one another, are the Ingredients of which all those call’d perfectly mixt Bodies are immediatel ...
... You, that I now mean by Elements, as those Chymists that speak plainest do by their Principles, certain Primitive and Simple, or perfectly unmingled bodies; which not being made of any other bodies, or of one another, are the Ingredients of which all those call’d perfectly mixt Bodies are immediatel ...
SPH4U Modern Plans
... 1. Review experiments showing light as a wave: a. Polarization b. Double slit interference & single slit diffraction c. Interferometers & thin film interference 2. What would happen in these experiments if light were a tiny particle instead of a wave? 3. Einstein history 4. www.explorelearning.com – ...
... 1. Review experiments showing light as a wave: a. Polarization b. Double slit interference & single slit diffraction c. Interferometers & thin film interference 2. What would happen in these experiments if light were a tiny particle instead of a wave? 3. Einstein history 4. www.explorelearning.com – ...
24. The Helium Atom
... two electrons behaves more or less independently, feeling the same force from the nucleus and having the same energy levels and definite-energy wavefunctions. I say “more or less,” because electrons are identical fermions, so even if they don’t exert any forces on each other, their combined wavefunc ...
... two electrons behaves more or less independently, feeling the same force from the nucleus and having the same energy levels and definite-energy wavefunctions. I say “more or less,” because electrons are identical fermions, so even if they don’t exert any forces on each other, their combined wavefunc ...
proper_time_Bhubanes.. - Institute of Physics, Bhubaneswar
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
Teaching Modern Physics - IMSA Digital Commons
... mutually inconsistent – knowledge of one invalidates knowledge of the other. For example, if you measure the x spin of a particle, then measure the y spin, then measure the x spin again, you may get a different answer Position and momentum are incompatible observables – hence, the Heisenberg uncerta ...
... mutually inconsistent – knowledge of one invalidates knowledge of the other. For example, if you measure the x spin of a particle, then measure the y spin, then measure the x spin again, you may get a different answer Position and momentum are incompatible observables – hence, the Heisenberg uncerta ...
proper_time_Bhubanes.. - Institute of Physics, Bhubaneswar
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
... take an eigenstate of the internal energy Hamiltonian ⇒ only the phase of the state changes... the „clock“ does not „tick“ ⇒ the concept of proper time has no operational meaning ⇒ visibility is maximal! ...
No Slide Title - Weizmann Institute of Science
... Single particle superposition A single particle in a superposition of two locations is prepared in a double well potential and then the potential is turned off. The wavepackets expand and overlap after t=pMdw/h Initial state of probe+ Target: ...
... Single particle superposition A single particle in a superposition of two locations is prepared in a double well potential and then the potential is turned off. The wavepackets expand and overlap after t=pMdw/h Initial state of probe+ Target: ...
Ch05ElectronConfig - Journigan-wiki
... Bohr’s model was based on classical physics and was shown to be inadequate. Mid-1920’s: a new approach was taken by de Bröglie, Heisenberg and Schrödinger. De Bröglie proposed that the electron, which had been considered a particle only, also showed wave properties. Schrödinger attacked the problem ...
... Bohr’s model was based on classical physics and was shown to be inadequate. Mid-1920’s: a new approach was taken by de Bröglie, Heisenberg and Schrödinger. De Bröglie proposed that the electron, which had been considered a particle only, also showed wave properties. Schrödinger attacked the problem ...
Physics 11 Laboratory
... One implication of Bohr’s assumptions is that the energy can only take on certain discrete values. (See your text for a full derivation.) In particular, if the electron’s lowest possible energy is –Eo,1 then the other available energies are: Here we have taken its energy to be 0 when it is completel ...
... One implication of Bohr’s assumptions is that the energy can only take on certain discrete values. (See your text for a full derivation.) In particular, if the electron’s lowest possible energy is –Eo,1 then the other available energies are: Here we have taken its energy to be 0 when it is completel ...
incident angle
... Refraction is the change in light’s speed as it passes from one material’s index of refraction, to another’s. If the incident angle is not zero—that is, the incoming ray is not parallel to the normal of the boundary surface—the light ray’s direction bends at the boundary surface (p427). Figure 20-9 ...
... Refraction is the change in light’s speed as it passes from one material’s index of refraction, to another’s. If the incident angle is not zero—that is, the incoming ray is not parallel to the normal of the boundary surface—the light ray’s direction bends at the boundary surface (p427). Figure 20-9 ...
Chapter 6.8 - Periodic Trends
... Look up the word trend in the dictionary. (See online dictionary.) A trend is _____. a. a rule or behavior which is always followed b. a general tendency to behave in a certain manner c. the tendency to be modern or current The periodic law was introduced in Chapter 2. The law states that _____. a. ...
... Look up the word trend in the dictionary. (See online dictionary.) A trend is _____. a. a rule or behavior which is always followed b. a general tendency to behave in a certain manner c. the tendency to be modern or current The periodic law was introduced in Chapter 2. The law states that _____. a. ...
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.