Unit 4 - School District of Durand
... other times those of particles. Now it is obvious that a thing cannot be a form of wave motion and composed of particles at the same time - the two concepts are too different. (Werner Heisenberg, on Quantum Theory, ...
... other times those of particles. Now it is obvious that a thing cannot be a form of wave motion and composed of particles at the same time - the two concepts are too different. (Werner Heisenberg, on Quantum Theory, ...
On coloring the rational quantum sphere
... Due to the density of points colored with any single color, any such coloring is non-continuous in the sense that between any two points of equal color there is a point (indeed, an infinity thereof) of different color. Let us then assume that any such value-definiteness might apply also to non-local ...
... Due to the density of points colored with any single color, any such coloring is non-continuous in the sense that between any two points of equal color there is a point (indeed, an infinity thereof) of different color. Let us then assume that any such value-definiteness might apply also to non-local ...
Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity Deng-Shan Wang, Xing-Hua Hu,
... Figures 3(a)–3(d) show the density profiles of the even parity wave function (2) with Eq. (4) for n = 0, and l = 0, 1, 2, and 3, respectively. It is seen that the number of nodes for the density packets along line y = −x is equal to the corresponding secondary quantum number l, which describes the t ...
... Figures 3(a)–3(d) show the density profiles of the even parity wave function (2) with Eq. (4) for n = 0, and l = 0, 1, 2, and 3, respectively. It is seen that the number of nodes for the density packets along line y = −x is equal to the corresponding secondary quantum number l, which describes the t ...
3rd year
... The solutions of the above two pair of equations gives the permissible energy eigen values for the symmetric and the anti-symmetric cases. The equations can only be solved graphically for . The points of intersections of the graph for any of the above equations((20) or (21)) with (22) gives the perm ...
... The solutions of the above two pair of equations gives the permissible energy eigen values for the symmetric and the anti-symmetric cases. The equations can only be solved graphically for . The points of intersections of the graph for any of the above equations((20) or (21)) with (22) gives the perm ...
PMA-ChairCouncil-3dec2008-preskill
... quantum system with a classical computer. But we can simulate one quantum system with another one! The atomic physicists have developed remarkable tools for cooling and controlling atoms. Exploiting these tools, we can study (and discover) quantum many-particle phenomena that up ...
... quantum system with a classical computer. But we can simulate one quantum system with another one! The atomic physicists have developed remarkable tools for cooling and controlling atoms. Exploiting these tools, we can study (and discover) quantum many-particle phenomena that up ...
Analysis of the wave packet interference pattern in the Young experiment K. C
... where κ = u describes the particle passing through the upper slit and κ = d describes the particle passing through the lower slit. In both cases, the distribution of probability on the screen is the same as for the diffraction pattern of one slit. 4. Conclusions ...
... where κ = u describes the particle passing through the upper slit and κ = d describes the particle passing through the lower slit. In both cases, the distribution of probability on the screen is the same as for the diffraction pattern of one slit. 4. Conclusions ...
school_ksengupta_1
... Consider a classical system of N particles with a point X in 2dN dimensional phase space. Choose an initial condition X=X0 so that H(X0)=E where H is the system Hamiltonian Also define a) X(t) to be the phase space trajectory with the initial condition X=X0 b) rmc(E) to be the microcannonical distri ...
... Consider a classical system of N particles with a point X in 2dN dimensional phase space. Choose an initial condition X=X0 so that H(X0)=E where H is the system Hamiltonian Also define a) X(t) to be the phase space trajectory with the initial condition X=X0 b) rmc(E) to be the microcannonical distri ...
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.