Homework # 5
... probability densities in the range −2λ1 < x < 2λ1 , where λ1 is the de-Broglie wavelength in region 1. (d) What is the penetration depth of the electron in region 2? (e) Next, assume that the particle is an electron with energy E = 1 eV and take V0 = 1.25 eV and |D|2 = 1. Plot the probability densit ...
... probability densities in the range −2λ1 < x < 2λ1 , where λ1 is the de-Broglie wavelength in region 1. (d) What is the penetration depth of the electron in region 2? (e) Next, assume that the particle is an electron with energy E = 1 eV and take V0 = 1.25 eV and |D|2 = 1. Plot the probability densit ...
Lecture: Resonance and Atomic
... As you determined in an earlier homework, < m|x|n > produces non-zero terms when m 6= n. It actually only allows for m = n ± 1 which mean that there are transitions from state n to state m. So, classically, there is the possibility of exciting an electron to a higher orbit, a higher oscillator state ...
... As you determined in an earlier homework, < m|x|n > produces non-zero terms when m 6= n. It actually only allows for m = n ± 1 which mean that there are transitions from state n to state m. So, classically, there is the possibility of exciting an electron to a higher orbit, a higher oscillator state ...
Production Mechanism of Quark Gluon Plasma in Heavy Ion
... mentioned aspects. In doing that we seek directions from Lattice results (such as determining the form of f eq ), QCD and Classical ...
... mentioned aspects. In doing that we seek directions from Lattice results (such as determining the form of f eq ), QCD and Classical ...
notes - UBC Physics
... so that the field theory predictions match the desired physics. Of course, for many physical systems, we already know the right field theory, and we’re mainly interested in doing calculations to make various predictions. However, we would like to understand where these field theories come from and w ...
... so that the field theory predictions match the desired physics. Of course, for many physical systems, we already know the right field theory, and we’re mainly interested in doing calculations to make various predictions. However, we would like to understand where these field theories come from and w ...
Zero field Quantum Hall Effect in QED3
... and nonperturbatively, by solving the corresponding Schwinger-Dyson equation in rainbow approximation. In the chiral limit, we found many nodal solutions, which could be interpreted as vacuum excitations. Armed with these solutions, we use the Kubo formula and calculate the filling factor for the ze ...
... and nonperturbatively, by solving the corresponding Schwinger-Dyson equation in rainbow approximation. In the chiral limit, we found many nodal solutions, which could be interpreted as vacuum excitations. Armed with these solutions, we use the Kubo formula and calculate the filling factor for the ze ...
Microscopic theory of the Casimir effect at thermal equilibrium: large
... the factor is 1/8 and not 1/4, supporting that TE modes do not contribute in this regime universal with respect to the microscopic constitution of the plates does not require regularization procedures Subdominant terms depend on h and c and contain non universal contributions ...
... the factor is 1/8 and not 1/4, supporting that TE modes do not contribute in this regime universal with respect to the microscopic constitution of the plates does not require regularization procedures Subdominant terms depend on h and c and contain non universal contributions ...
無投影片標題 - 2009 Asian Science Camp/Japan
... Schematic diagram illustrating the difference between usual symmetry and gauge symmetry. The horizontal arrows represent symmetry transformations which relate the solutions (sol. in the diagram). For the left column, these solutions represent different physical states. For the right column, they rep ...
... Schematic diagram illustrating the difference between usual symmetry and gauge symmetry. The horizontal arrows represent symmetry transformations which relate the solutions (sol. in the diagram). For the left column, these solutions represent different physical states. For the right column, they rep ...
superstring theory: past, present, and future john h. schwarz
... 2. Understand empty space The vacuum energy density, called dark energy, is observed to be about 70% of the total energy of the present Universe. It causes the expansion of the Universe to accelerate. This energy density is only about 10-122 when expressed in Planck units. Anthropic explanation: If ...
... 2. Understand empty space The vacuum energy density, called dark energy, is observed to be about 70% of the total energy of the present Universe. It causes the expansion of the Universe to accelerate. This energy density is only about 10-122 when expressed in Planck units. Anthropic explanation: If ...
For these questions, use the simulation “Quantum tunelling” and
... simulation, including the step-by-step exploration (click on the “Step-by-step Exploration” tab). ...
... simulation, including the step-by-step exploration (click on the “Step-by-step Exploration” tab). ...
New Methods in Computational Quantum Field Theory
... • Loop integrals may have UV divergences: no surprise, we’re probing the theory at infinitely short distance • Gauge theories are renormalizable: UV divergences that arise in loop integrals can be absorbed into a finite number of couplings • Only need a finite number of experiments to predict all ...
... • Loop integrals may have UV divergences: no surprise, we’re probing the theory at infinitely short distance • Gauge theories are renormalizable: UV divergences that arise in loop integrals can be absorbed into a finite number of couplings • Only need a finite number of experiments to predict all ...
Padic Homotopy Theory
... p-adic homotopy theory There should be p-adic homotopy theories for every prime p analogous to Sullivan’s Real homotopy theory. A norm on Q induces a unique topology on any finite dimensional vector V space over Q; hence V determines Vp a finite dimensional topological vector space over Qp. If V is ...
... p-adic homotopy theory There should be p-adic homotopy theories for every prime p analogous to Sullivan’s Real homotopy theory. A norm on Q induces a unique topology on any finite dimensional vector V space over Q; hence V determines Vp a finite dimensional topological vector space over Qp. If V is ...
Slides
... We’re experimentally down to 0.1mm without deviation from Newton’s law so no big break through! We have learnt that gravity could become strong at any point hence forth in collider experiments … and extra dimensions could be rather large by ...
... We’re experimentally down to 0.1mm without deviation from Newton’s law so no big break through! We have learnt that gravity could become strong at any point hence forth in collider experiments … and extra dimensions could be rather large by ...
Variational principle - Indiana University Bloomington
... different way, the lowest value of energy E ′ obtained from any finite basis forms an upper bound to the ground state energy. That is the ground state is either below or equal to the lowest value of E ′ . 9. In reality we do not know the set {ψi }. Our φ in the previous discussion is meant to be a a ...
... different way, the lowest value of energy E ′ obtained from any finite basis forms an upper bound to the ground state energy. That is the ground state is either below or equal to the lowest value of E ′ . 9. In reality we do not know the set {ψi }. Our φ in the previous discussion is meant to be a a ...
Canonical quantum gravity
... the universe given two values of An. The universe expands. What happens to the singularity? The singularity would occur when E=0, that is A=mφ. But if one runs the recursion relation backwards, one will only achieve such value for A if one fine tunes the initial data. Generically therefore the singu ...
... the universe given two values of An. The universe expands. What happens to the singularity? The singularity would occur when E=0, that is A=mφ. But if one runs the recursion relation backwards, one will only achieve such value for A if one fine tunes the initial data. Generically therefore the singu ...
String Theory
... String Theory is believed to bridge the gap between General Relativity and Quantum Mechanics This is because Relativistic Quantum Field Theory only works when gravity is ignored (very weak) General Relativity only works when we can assume the universe can be described by classical physics (no quantu ...
... String Theory is believed to bridge the gap between General Relativity and Quantum Mechanics This is because Relativistic Quantum Field Theory only works when gravity is ignored (very weak) General Relativity only works when we can assume the universe can be described by classical physics (no quantu ...
Program - LQG
... Tensorial Group Field Theories (TGFTs) are a non-local field theory framework for the dynamics of discrete geometries and their quantum fluctuations. One of the main tasks is, thus, to prove the emergence of a continuous manifold in some limit. I will present an application of Functional Renormalisa ...
... Tensorial Group Field Theories (TGFTs) are a non-local field theory framework for the dynamics of discrete geometries and their quantum fluctuations. One of the main tasks is, thus, to prove the emergence of a continuous manifold in some limit. I will present an application of Functional Renormalisa ...
The Power of Perturbation Theory
... the exact result requires the knowledge of some analytic properties of the observable, in general hard to verify ...
... the exact result requires the knowledge of some analytic properties of the observable, in general hard to verify ...
Exercises to Quantum Mechanics FYSN17
... a) Use first order perturbation theory to calculate the energy shift for the ground state and the first excited state. b) Calculate the ground state energy to second order. c) Solve the full problem exactly and compare the result with the approximation you obtained in a) and b). ...
... a) Use first order perturbation theory to calculate the energy shift for the ground state and the first excited state. b) Calculate the ground state energy to second order. c) Solve the full problem exactly and compare the result with the approximation you obtained in a) and b). ...