The Blind Men and the Quantum
... (Though all of them were blind), That each by observation, Might satisfy his mind. . The First approached the Elephant, And happening to fall, Against his broad and sturdy side, At once began to bawl: “God bless me! but the Elephant, Is very like a wall!” The Second, feeling of the tusk, Cried, “Ho! ...
... (Though all of them were blind), That each by observation, Might satisfy his mind. . The First approached the Elephant, And happening to fall, Against his broad and sturdy side, At once began to bawl: “God bless me! but the Elephant, Is very like a wall!” The Second, feeling of the tusk, Cried, “Ho! ...
Mn2 1 Many-particle Systems, 2 Multi
... To see how the Pauli Exclusion Principle produces atomic diversity, it is useful to begin simply, in particular, by considering the most elementary multi-electron “atom”: the hydrogen anion, H–. H– is a system of one proton and two electrons. Suppose the two electrons interact only with the proton a ...
... To see how the Pauli Exclusion Principle produces atomic diversity, it is useful to begin simply, in particular, by considering the most elementary multi-electron “atom”: the hydrogen anion, H–. H– is a system of one proton and two electrons. Suppose the two electrons interact only with the proton a ...
Calculation of Hawking Radiation as Quantum Mechanical Tunneling
... [2] has been studied. The second part describes the WKB-approximation method. This part is based on Bransden and Joachain’s book Quantum Mechanics [3], where the method is described in detail. In the third part of the thesis the calculation of Hawking radiation as tunneling is carried out. This part ...
... [2] has been studied. The second part describes the WKB-approximation method. This part is based on Bransden and Joachain’s book Quantum Mechanics [3], where the method is described in detail. In the third part of the thesis the calculation of Hawking radiation as tunneling is carried out. This part ...
Wednesday, Feb. 25, 2015
... absorbed) by some sort of “oscillators” that were contained in the walls. He used Boltzman’s statistical methods to arrive at the following formula that fit the blackbody radiation data. ...
... absorbed) by some sort of “oscillators” that were contained in the walls. He used Boltzman’s statistical methods to arrive at the following formula that fit the blackbody radiation data. ...
Document
... between a pair of tori which are not symmetrically located about p 0. Here we propose a new type of Hamiltonian ratchet which, classically, is completely chaotic. This ratchet is not inconsistent with the rules established in [10,11], but has a quite different mechanism. It is the first example of ...
... between a pair of tori which are not symmetrically located about p 0. Here we propose a new type of Hamiltonian ratchet which, classically, is completely chaotic. This ratchet is not inconsistent with the rules established in [10,11], but has a quite different mechanism. It is the first example of ...
Atomic Structure
... to study the behavior of small particles going at high speeds. Classical mechanics studies large particles going at relatively slow speeds. Since electrons are small particles going at high speeds the electron (and thus chemistry) can only be understood through the use of quantum mechanics. ...
... to study the behavior of small particles going at high speeds. Classical mechanics studies large particles going at relatively slow speeds. Since electrons are small particles going at high speeds the electron (and thus chemistry) can only be understood through the use of quantum mechanics. ...
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.