The Spectrum of the Hydrogen Atom
... background on a few of the main contributors to the theory. We go on to explain what wavefunctions are, and define the Schrödinger equation, which we then simplify for hydrogen into a time-independent form. In order to solve this equation, we review the method of separation of variables, using the ...
... background on a few of the main contributors to the theory. We go on to explain what wavefunctions are, and define the Schrödinger equation, which we then simplify for hydrogen into a time-independent form. In order to solve this equation, we review the method of separation of variables, using the ...
Control of
... 2DPE experiment – at room temperature! Does the energy transfer display coherence despite the vast vibrational background? E. Collino, K.E. Wilk, P.M.G. Curmi, P. Brumer and G.D. Scholes, Nature, 463, 644 (2010) ...
... 2DPE experiment – at room temperature! Does the energy transfer display coherence despite the vast vibrational background? E. Collino, K.E. Wilk, P.M.G. Curmi, P. Brumer and G.D. Scholes, Nature, 463, 644 (2010) ...
Non-linear field theory with supersymmetry
... however requires that one finds theories invariant under local, and not only global supersymmetry. Locally supersymmetric theories are called supergravities, and have been invented by Freedman, Ferrara and van Nieuwenhuizen [2]; see also Deser and Zumino [3]. These supergravity theories are non-reno ...
... however requires that one finds theories invariant under local, and not only global supersymmetry. Locally supersymmetric theories are called supergravities, and have been invented by Freedman, Ferrara and van Nieuwenhuizen [2]; see also Deser and Zumino [3]. These supergravity theories are non-reno ...
270
... As the quantum analogue of the fictitious kinetic energy term goes to zero, the Hamiltonian in eq 15 approximates the adiabatic quantum Hamiltonian of the system (i.e., quantummechanical nuclei on an approximation to the adiabatic, BornOppenheimer, electronic surface given by the energy functional E ...
... As the quantum analogue of the fictitious kinetic energy term goes to zero, the Hamiltonian in eq 15 approximates the adiabatic quantum Hamiltonian of the system (i.e., quantummechanical nuclei on an approximation to the adiabatic, BornOppenheimer, electronic surface given by the energy functional E ...
Topological Chern Indices in Molecular Spectra
... the adiabatic separation of variables enables one to split the global structure into bands associated with the “fast motion” and their internal structure described by a “slow motion” on a compact phase space. We have considered here only the problem when the dimension of the classical phase space fo ...
... the adiabatic separation of variables enables one to split the global structure into bands associated with the “fast motion” and their internal structure described by a “slow motion” on a compact phase space. We have considered here only the problem when the dimension of the classical phase space fo ...
Lecture Notes on the Standard Model of Elementary Particle Physics
... In the absence of sources, J µ = 0, Maxwell equations (1.13) describe electromagnetic waves freely propagating at the speed of light, with only two polarisation states. To see this, consider a plane wave with 4-momentum k µ and polarisation vector µ (k):2 Aµ (k) = µ (k) eikx . Maxwell equations im ...
... In the absence of sources, J µ = 0, Maxwell equations (1.13) describe electromagnetic waves freely propagating at the speed of light, with only two polarisation states. To see this, consider a plane wave with 4-momentum k µ and polarisation vector µ (k):2 Aµ (k) = µ (k) eikx . Maxwell equations im ...
Field Formulation of Many-Body Quantum Physics {ffmbqp
... The quantum mechanical rules in the last section were written down in the previous section under the assumption that all particles are distinguishable. For most realistic n-body systems, however, this is an unphysical assumption. For example, there is no way of distinguishing the electrons in an ato ...
... The quantum mechanical rules in the last section were written down in the previous section under the assumption that all particles are distinguishable. For most realistic n-body systems, however, this is an unphysical assumption. For example, there is no way of distinguishing the electrons in an ato ...
Noncommuting Coordinates in the Landau Problem
... There exists a well known phenomenological realization of noncommuting coordinates in the realm of quantum mechanics: a charged particle in an external magnetic field so strong that projection to the lowest Landau level is justified.A charged particle in an external magnetic field is effectively con ...
... There exists a well known phenomenological realization of noncommuting coordinates in the realm of quantum mechanics: a charged particle in an external magnetic field so strong that projection to the lowest Landau level is justified.A charged particle in an external magnetic field is effectively con ...
Topology of electronic bands and Topological Order
... For ν = 1/3: unique ground state on the sphere but 3-fold degenerate ground state on the torus. In general FQHE ...
... For ν = 1/3: unique ground state on the sphere but 3-fold degenerate ground state on the torus. In general FQHE ...
NonLinear_Suseptibility
... We require that the expansion of will be the solution of the original equation For any value of the parameter , so the coefficients of each power of must Satisfy the equation separately (for derivation see Appendix 1). Then ...
... We require that the expansion of will be the solution of the original equation For any value of the parameter , so the coefficients of each power of must Satisfy the equation separately (for derivation see Appendix 1). Then ...
The Mean-Field Limit for the Dynamics of Large Particle
... section. 1.1.3. The (time-dependent) Hartree-Fock equation It is a well-known fact that the electrical interaction of (non-relativistic) charged particles is independent of their spins. However, the effect of the spin of non-relativistic particles is seen on their statistics. Indeed, one deduces fro ...
... section. 1.1.3. The (time-dependent) Hartree-Fock equation It is a well-known fact that the electrical interaction of (non-relativistic) charged particles is independent of their spins. However, the effect of the spin of non-relativistic particles is seen on their statistics. Indeed, one deduces fro ...
... If the sum of the two marked interior angles is less than two right angles, then the two lines will eventually meet on the side of these angles, that is, to the right. We are probably more familiar with the version we learned at school: “Through a point outside a line we can draw one and only one pa ...
Black hole fireworks: quantum-gravity effects outside the horizon
... uncritical assumption: that Nature should be well approximated by one and the same solution of the classical equations in the entire region where curvature is small. This is a prejudice because it neglects the fact that small effects can pile up in the long term. If a perturbation is small, then the ...
... uncritical assumption: that Nature should be well approximated by one and the same solution of the classical equations in the entire region where curvature is small. This is a prejudice because it neglects the fact that small effects can pile up in the long term. If a perturbation is small, then the ...
Introduction to Integrable Models
... more powerful algebraic Bethe ansatz after we have finished with the simple case at hand. Here, we will rederive the XXX1/2 case by algebraic means and then generalize it to general spin s. I will also briefly sketch further generalizations, such as spin chains with higher rank symmetry algebra. Tow ...
... more powerful algebraic Bethe ansatz after we have finished with the simple case at hand. Here, we will rederive the XXX1/2 case by algebraic means and then generalize it to general spin s. I will also briefly sketch further generalizations, such as spin chains with higher rank symmetry algebra. Tow ...
Supersymmetry: what? why? when?
... invented to explain data or puzzles or theoretical inconsistencies. Remarkably, supersymmetry was introduced for purely theoretical reasons. Originally no one imagined supersymmetry was crucial, or even relevant, to explaining how nature works. In the middle 1970s supersymmetry was sometimes spoken ...
... invented to explain data or puzzles or theoretical inconsistencies. Remarkably, supersymmetry was introduced for purely theoretical reasons. Originally no one imagined supersymmetry was crucial, or even relevant, to explaining how nature works. In the middle 1970s supersymmetry was sometimes spoken ...
Switching via quantum activation: A parametrically modulated oscillator 兲
... oscillator was studied experimentally for electrons in Penning traps 关35,36兴. The measured switching rate 关36兴 agreed quantitatively with the theory 关37兴. A quantum parametric oscillator also does not have detailed balance in the general case. The results presented below show that breaking the speci ...
... oscillator was studied experimentally for electrons in Penning traps 关35,36兴. The measured switching rate 关36兴 agreed quantitatively with the theory 关37兴. A quantum parametric oscillator also does not have detailed balance in the general case. The results presented below show that breaking the speci ...
Remnants, Fuzzballs or Wormholes
... AMPS: Our argument against complementarity should still work … you should get burnt by the Hawking radiation near the fuzzball surface … Fuzzball: There is something strange about one of your assumptions. You assume that the stretched horizon does not respond before it is hit. But normal horizons do ...
... AMPS: Our argument against complementarity should still work … you should get burnt by the Hawking radiation near the fuzzball surface … Fuzzball: There is something strange about one of your assumptions. You assume that the stretched horizon does not respond before it is hit. But normal horizons do ...