Lecture notes
... o The Anthropic Principle: There is a set of fundamental physical constants that are such that had they been very slightly different, the universe would have been void of intelligent life. o John Wheeler: “According to the principle, a life-giving factor lies at the centre of the whole machinery and ...
... o The Anthropic Principle: There is a set of fundamental physical constants that are such that had they been very slightly different, the universe would have been void of intelligent life. o John Wheeler: “According to the principle, a life-giving factor lies at the centre of the whole machinery and ...
Basics of Lattice Quantum Field Theory∗
... C = {x1, x2, , xn } such that (xi , xi+1) are nearest neigbors (cyclic: xn+1 = x1). Setting xi+1 = xi + aµ̂i the Wilson loop observable is W (C) = tr[U (x1, µ1)U (x2, µ2) U (xn , µn)] ...
... C = {x1, x2, , xn } such that (xi , xi+1) are nearest neigbors (cyclic: xn+1 = x1). Setting xi+1 = xi + aµ̂i the Wilson loop observable is W (C) = tr[U (x1, µ1)U (x2, µ2) U (xn , µn)] ...
Phys. Rev. Lett., 105(2) - Orenstein Research Group
... potential such as arises in a quantum well structure. We will compute this type of Berry phase by two approaches and compare the results to photocurrent experiments. The first approach is an explicit microscopic calculation on model quantum wells. Consider the lowest conduction subband of a (110) qu ...
... potential such as arises in a quantum well structure. We will compute this type of Berry phase by two approaches and compare the results to photocurrent experiments. The first approach is an explicit microscopic calculation on model quantum wells. Consider the lowest conduction subband of a (110) qu ...
A. J. Leggett
... superconductor). In this case a M.F. predicted to occur in (say) ↑↑ component, (which sustains vortex), not in ↓↓ (which does not). Not that vor ces always come in pairs (or second MF solution exists on boundary) Why the special interest for topological quantum computing? (1) Because MF is exact ...
... superconductor). In this case a M.F. predicted to occur in (say) ↑↑ component, (which sustains vortex), not in ↓↓ (which does not). Not that vor ces always come in pairs (or second MF solution exists on boundary) Why the special interest for topological quantum computing? (1) Because MF is exact ...
Gregory Moore - Rutgers Physics
... With a great boost from string theory, after 40 years of intellectual ferment a new field has emerged with its own distinctive character, its own aims and values, its own standards of proof. One of the guiding principles is certainly Hilbert’s 6th Problem (generously interpreted): Discover the ultim ...
... With a great boost from string theory, after 40 years of intellectual ferment a new field has emerged with its own distinctive character, its own aims and values, its own standards of proof. One of the guiding principles is certainly Hilbert’s 6th Problem (generously interpreted): Discover the ultim ...
Cocktail
... that can be checked by a small reliable program. Hence, if I do not trust my tool, I can write a validator for the results myself. This ensures that even if the tool becomes large and complex, errors will be detected in the end. Size and complexity of the tool no longer influence reliability. ...
... that can be checked by a small reliable program. Hence, if I do not trust my tool, I can write a validator for the results myself. This ensures that even if the tool becomes large and complex, errors will be detected in the end. Size and complexity of the tool no longer influence reliability. ...
superstring theory: past, present, and future john h. schwarz
... In 1997 Maldacena proposed a new class of dualities (or equivalences) – for example, between a certain 4d QFT called N = 4 super Yang-Mills theory and Type IIB superstring theory in the 10d geometry AdS5 X S5. The string theory is represented holographically by the QFT, which is associated to the co ...
... In 1997 Maldacena proposed a new class of dualities (or equivalences) – for example, between a certain 4d QFT called N = 4 super Yang-Mills theory and Type IIB superstring theory in the 10d geometry AdS5 X S5. The string theory is represented holographically by the QFT, which is associated to the co ...
The flashes of insight never came for free
... a physical system (which assign values to observables) are (‘wave’) functions (rather then points in phase space). Heisenberg was a postdoc in Göttingen at the time, where Hilbert ran a seminar on the mathematical structure of the new quantum mechanics. In this context, it was Hilbert’s assistant vo ...
... a physical system (which assign values to observables) are (‘wave’) functions (rather then points in phase space). Heisenberg was a postdoc in Göttingen at the time, where Hilbert ran a seminar on the mathematical structure of the new quantum mechanics. In this context, it was Hilbert’s assistant vo ...
references - StealthSkater
... "Why didn't the electron radiate away its energy?", the answer is basically "Well, in Quantum Theory, it doesn't." It's at this point that not only the layman but also some physicists can begin to feel that someone's not playing fair. I say only "some" physicists because the majority of working phys ...
... "Why didn't the electron radiate away its energy?", the answer is basically "Well, in Quantum Theory, it doesn't." It's at this point that not only the layman but also some physicists can begin to feel that someone's not playing fair. I say only "some" physicists because the majority of working phys ...
Handout 14
... provable is a tautology. Thus, the formal system of propositional logic is not only sound (i.e. generates only valid formulas) but also generates all of them. Theorem 5.2 (completeness of propositional logic). Let T be a set of formulas and A a formula. Then T (A ...
... provable is a tautology. Thus, the formal system of propositional logic is not only sound (i.e. generates only valid formulas) but also generates all of them. Theorem 5.2 (completeness of propositional logic). Let T be a set of formulas and A a formula. Then T (A ...
Probabilistic Propositional Logic
... • We will review elementary “discrete variable” probability • We will recall that joint probability distribution is all we need to answer any probabilistic query over a set of discrete variables. • We will recognize that the hardest part here is not the cost of inference (which is really only O(2n) ...
... • We will review elementary “discrete variable” probability • We will recall that joint probability distribution is all we need to answer any probabilistic query over a set of discrete variables. • We will recognize that the hardest part here is not the cost of inference (which is really only O(2n) ...
Physics 120b – Quantum Physics and Beyond – Spring 2017
... final paper (25% of grade), and participation in class (total 15% of grade). Required Books & Reading: There is no textbook for this course. Students will be required to purchase 2 popular paperback books on modern physics from which reading assignments will be made. There will also be specialized r ...
... final paper (25% of grade), and participation in class (total 15% of grade). Required Books & Reading: There is no textbook for this course. Students will be required to purchase 2 popular paperback books on modern physics from which reading assignments will be made. There will also be specialized r ...
English
... the effective charge density e|ψ1(x) + ψ2(x)|2. One may object that this is merely an artifact of the idealization of infinite potential. However, even in this ideal situation, the model should also be able to generate the effective charge distribution by means of some sort of ergodic motion of the ...
... the effective charge density e|ψ1(x) + ψ2(x)|2. One may object that this is merely an artifact of the idealization of infinite potential. However, even in this ideal situation, the model should also be able to generate the effective charge distribution by means of some sort of ergodic motion of the ...
Syntax of first order logic.
... a model. By compactness, Φ ∪ Ψ has a model. But this must be infinite. q.e.d. ...
... a model. By compactness, Φ ∪ Ψ has a model. But this must be infinite. q.e.d. ...
Chapter 3: Planck`s theory of blackbody radiation
... While at small frequencies (ν → 0) the approximation ¯ ≈ kT provides correct results, in order to avoid the divergency at large values of ν, it must be fulfilled that ¯ −−−−→ 0 ν→∞ ...
... While at small frequencies (ν → 0) the approximation ¯ ≈ kT provides correct results, in order to avoid the divergency at large values of ν, it must be fulfilled that ¯ −−−−→ 0 ν→∞ ...
Erwin Schrödinger (1887 – 1961)
... when superimposed, would produce the desired solution. He found that the wave functions of the individual states are natural harmonics of each other; their frequencies are related by integer ratios. What does this mean? It means that eigenvalue functions underlie the quantization of atomic systems t ...
... when superimposed, would produce the desired solution. He found that the wave functions of the individual states are natural harmonics of each other; their frequencies are related by integer ratios. What does this mean? It means that eigenvalue functions underlie the quantization of atomic systems t ...