Foundational Questions Institute (FQXi)
... seems to be telling a different story. It is known, for example, that Einstein's equations themselves can be derived as thermodynamic relations. The deep meaning of such results remains a mystery to this day. Our approach will be to push the implications of these results as far as possible as we exp ...
... seems to be telling a different story. It is known, for example, that Einstein's equations themselves can be derived as thermodynamic relations. The deep meaning of such results remains a mystery to this day. Our approach will be to push the implications of these results as far as possible as we exp ...
Quantum Moduli Spaces 1 Introduction
... where GI is the geodesic that is obtained by erasing the edge Z and joining together the edges \A" and \D" as well as \B " and \C " in a natural way the geodesic GH passes over the edge Z twice, so it has the form tr : : : XC RZ RD : : : XB LZ LA : : :. These relations were obtained in 7] in the ...
... where GI is the geodesic that is obtained by erasing the edge Z and joining together the edges \A" and \D" as well as \B " and \C " in a natural way the geodesic GH passes over the edge Z twice, so it has the form tr : : : XC RZ RD : : : XB LZ LA : : :. These relations were obtained in 7] in the ...
In class exercises 3
... (a) Arbitrary zero of the classical entropy. Show that the width of the energy shell δE in the definition of Ω(E) does not change the microcanonical entropy per particle S/N = kB log(Ω(E))/N in a large system. Show that the choice of units in phase space does change the classical entropy per partic ...
... (a) Arbitrary zero of the classical entropy. Show that the width of the energy shell δE in the definition of Ω(E) does not change the microcanonical entropy per particle S/N = kB log(Ω(E))/N in a large system. Show that the choice of units in phase space does change the classical entropy per partic ...
Living in a Quantum World
... For quantum electrons, however, the situation is astonish- behave classically. The difficulty of preserving entanglement is a ingly different. You can set up the particles to have a total spin major challenge for those of us seeking to exploit these novel efof zero even when you have not specified w ...
... For quantum electrons, however, the situation is astonish- behave classically. The difficulty of preserving entanglement is a ingly different. You can set up the particles to have a total spin major challenge for those of us seeking to exploit these novel efof zero even when you have not specified w ...
Quantum mechanics of electrons in strong magnetic field
... To obtain a more concrete idea about the size of the gap between two adjacent Landau levels, we estimate itthe Landau gap. In a typical metal in the field B of the order 10T and taking electron mass me ' 10−27 g, one can estimate the gap roughly as ~Ω = ~eB/me c ' 1.5 ∗ 10−15 erg ' 15K. In a semico ...
... To obtain a more concrete idea about the size of the gap between two adjacent Landau levels, we estimate itthe Landau gap. In a typical metal in the field B of the order 10T and taking electron mass me ' 10−27 g, one can estimate the gap roughly as ~Ω = ~eB/me c ' 1.5 ∗ 10−15 erg ' 15K. In a semico ...
Quantum theory
... Biot-Savart (1820): Magnetic field due to a current. Faraday (1831): Changing magnetic field produces an electric field. Maxwell (1864): Unified laws of electricity and magnetism. ♣ The laws cannot be separated into an electric and a magnetic part. ♣ Since then, electromagnetism. ♣ Electromagnetic i ...
... Biot-Savart (1820): Magnetic field due to a current. Faraday (1831): Changing magnetic field produces an electric field. Maxwell (1864): Unified laws of electricity and magnetism. ♣ The laws cannot be separated into an electric and a magnetic part. ♣ Since then, electromagnetism. ♣ Electromagnetic i ...
Spin-Orbit Interaction - diss.fu
... functions . In a free atom without SOC, there are three degenerate p functions, so three p bands will appear in the model . These bands will all be degenerate at the Γ point (k = 0, see Fig. 8.1(a)), transforming one into the other through cubic symmetry transformations at this point. Each of the th ...
... functions . In a free atom without SOC, there are three degenerate p functions, so three p bands will appear in the model . These bands will all be degenerate at the Γ point (k = 0, see Fig. 8.1(a)), transforming one into the other through cubic symmetry transformations at this point. Each of the th ...
PDF
... electronic non-Kramers degeneracy may be unstable against small distortions of the surroundings, that would lower the symmetry of the crystal field and thus lift the degeneracy (i.e., cause an observable splitting of the corresponding energy levels). This effect occurs in certain paramagnetic ion s ...
... electronic non-Kramers degeneracy may be unstable against small distortions of the surroundings, that would lower the symmetry of the crystal field and thus lift the degeneracy (i.e., cause an observable splitting of the corresponding energy levels). This effect occurs in certain paramagnetic ion s ...
1 Two qubits - EECS: www
... paper, John Bell showed that properties of Bell (EPR) states were not merely fodder for a philosophical discussion, but had verifiable consequences: local hidden variables are not the answer. How does one rule out every possible hidden variable theory? Here’s how: we will consider an extravagant fra ...
... paper, John Bell showed that properties of Bell (EPR) states were not merely fodder for a philosophical discussion, but had verifiable consequences: local hidden variables are not the answer. How does one rule out every possible hidden variable theory? Here’s how: we will consider an extravagant fra ...
The Power of Quantum Advice
... Formally: a language L is in BQP/qpoly if there exists a polynomial time quantum algorithm A, as well as quantum advice states {|n}n on poly(n) qubits, such that for every input x of size n, A(x,|n) decides whether or not xL with error probability at most 1/3 ...
... Formally: a language L is in BQP/qpoly if there exists a polynomial time quantum algorithm A, as well as quantum advice states {|n}n on poly(n) qubits, such that for every input x of size n, A(x,|n) decides whether or not xL with error probability at most 1/3 ...
