
Chapter 27
... would be emitted when a quantized oscillator jumped from one energy level to the next lower one ...
... would be emitted when a quantized oscillator jumped from one energy level to the next lower one ...
Kvantfysik Lecture Notes No. 4x
... figure). The particle then has angular momentum pointing in the ẑ direction given by Lz = pR = `h̄. Hence, the angular momentum is also quantized, and in fact comes in integer multiples of h̄. We will call ` the angular momentum quantum number. In a later lecture we will show more precisely how the ...
... figure). The particle then has angular momentum pointing in the ẑ direction given by Lz = pR = `h̄. Hence, the angular momentum is also quantized, and in fact comes in integer multiples of h̄. We will call ` the angular momentum quantum number. In a later lecture we will show more precisely how the ...
Chapt7
... It is possible to calculate energy differences between levels (i.e., the atomic spectrum) with different n values -- see textbook ...
... It is possible to calculate energy differences between levels (i.e., the atomic spectrum) with different n values -- see textbook ...
E3570: A particle on a disc with a homogeneous magnetic... levels
... Since without the Zeeman term the Hamiltonians are identical, we require the same energy levels and degeneracies. In addition, we note that Hamiltonian contains only even functions of the quantum number m. Therefore we deduce that the energies must be E = ω(2ν + |m| + 1) ν = 0, 1, 2, . . . ...
... Since without the Zeeman term the Hamiltonians are identical, we require the same energy levels and degeneracies. In addition, we note that Hamiltonian contains only even functions of the quantum number m. Therefore we deduce that the energies must be E = ω(2ν + |m| + 1) ν = 0, 1, 2, . . . ...
6.5
... r (x, y z) is the particle's position in three-dimensional space, ψ ( r , t ) is the wavefunction, which is the amplitude for the particle to have a given position r at any given time t. m is the mass of the particle. ...
... r (x, y z) is the particle's position in three-dimensional space, ψ ( r , t ) is the wavefunction, which is the amplitude for the particle to have a given position r at any given time t. m is the mass of the particle. ...
On the Einstein-Podolsky-Rosen paradox
... 1 - - Q* = cos $ , n where 81 is the angle between a' and o. However, for given values of the hidden variables, the results of measurements with one magnet now depend on the setting of the distant magnet, which is just what we would wish to avoid. ...
... 1 - - Q* = cos $ , n where 81 is the angle between a' and o. However, for given values of the hidden variables, the results of measurements with one magnet now depend on the setting of the distant magnet, which is just what we would wish to avoid. ...
Photoelectric Effect 1 Introduction 2 Experiment
... The experiment involves shining light on a metal plate to excite electrons in the metal. Classical physics predicts that the maximum kinetic energy that the electrons can acquire is proportional to the intensity of the light. In fact, the original investigators found the maximum kinetic energy to be ...
... The experiment involves shining light on a metal plate to excite electrons in the metal. Classical physics predicts that the maximum kinetic energy that the electrons can acquire is proportional to the intensity of the light. In fact, the original investigators found the maximum kinetic energy to be ...
Neutron Scattering Theory - Oklahoma State University
... The total scattered wave function is an integral equation which can be solved by means of a series of iterative approximations, known as Born Series. - Zero-order Solution: - First order solution: ...
... The total scattered wave function is an integral equation which can be solved by means of a series of iterative approximations, known as Born Series. - Zero-order Solution: - First order solution: ...
量子力學發展史
... We must accept both models and admit that the true nature of light is not describable in terms of any single classical model Light has a dual nature in that it exhibits both wave and particle characteristics The particle model and the wave model of light ...
... We must accept both models and admit that the true nature of light is not describable in terms of any single classical model Light has a dual nature in that it exhibits both wave and particle characteristics The particle model and the wave model of light ...
Quantum (wave) mechanics
... The Rutherford-Bohr model of the atom described the electron orbiting around the nucleus in circular orbits. This is a planetary model like the planets orbiting the Sun. However, in terms of Quantum Mechanics the electron has to be regarded as a wave so that experimental observations agree with theo ...
... The Rutherford-Bohr model of the atom described the electron orbiting around the nucleus in circular orbits. This is a planetary model like the planets orbiting the Sun. However, in terms of Quantum Mechanics the electron has to be regarded as a wave so that experimental observations agree with theo ...
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.