Selberg zeta function and trace formula for the BTZ black hole
... [17]). On the other hand, the three-dimensional Bañados, Teitelboim, Zanelli (BTZ) black hole [1], [4], [5], [6], which is a solution of Einstein’s vacuum equation with a negative cosmological constant, has a Euclidean quotient presentation Γ\H3 for an appropriate Γ where, however, the fundamental ...
... [17]). On the other hand, the three-dimensional Bañados, Teitelboim, Zanelli (BTZ) black hole [1], [4], [5], [6], which is a solution of Einstein’s vacuum equation with a negative cosmological constant, has a Euclidean quotient presentation Γ\H3 for an appropriate Γ where, however, the fundamental ...
The non-interacting Bose gas
... We now turn to the experimentally important topic of harmonically trapped atomic gases. Typically a gas of 104 to 107 atoms is prepared in such traps, and one is interested at the very basic level to understand the density and momentum distribution of the gas. While the density distribution in the t ...
... We now turn to the experimentally important topic of harmonically trapped atomic gases. Typically a gas of 104 to 107 atoms is prepared in such traps, and one is interested at the very basic level to understand the density and momentum distribution of the gas. While the density distribution in the t ...
Q-bit based on Cooper Pair Transistor
... The gate charge is simply controlled by applying a voltage to the gate electrode, Qg=CgCg, and the external phase can be controlled either by sending a Supercurrent current through the CPT, or by closing the source and drain with a superconducting element and applying a magnetic flux to the resultin ...
... The gate charge is simply controlled by applying a voltage to the gate electrode, Qg=CgCg, and the external phase can be controlled either by sending a Supercurrent current through the CPT, or by closing the source and drain with a superconducting element and applying a magnetic flux to the resultin ...
Integrable Models in Classical and Quantum Field Theory
... Ln(X) is obtained from (31) by a left multiplication by CTQ. The operators 8% are now t h e generators of tho irreducible infinite-dimensional representation of su(2) of spin s = —2\KA, where n is the coupling constant and A is the lattice spacing. The operators 8% are expressed in a standard way in ...
... Ln(X) is obtained from (31) by a left multiplication by CTQ. The operators 8% are now t h e generators of tho irreducible infinite-dimensional representation of su(2) of spin s = —2\KA, where n is the coupling constant and A is the lattice spacing. The operators 8% are expressed in a standard way in ...
Describing Location in a Distribution
... pth percentile: Value with p % of observations at or below it. ...
... pth percentile: Value with p % of observations at or below it. ...
Bits and Qubits
... Umesh Vazirani (UC Berkeley) [link] – basics and beyond John Preskill (Caltech) [link] – basics and beyond Andrew Childs (U of Maryland) [link] – quantum algorithms John Watrous (U of Waterloo) [link] – quantum information ...
... Umesh Vazirani (UC Berkeley) [link] – basics and beyond John Preskill (Caltech) [link] – basics and beyond Andrew Childs (U of Maryland) [link] – quantum algorithms John Watrous (U of Waterloo) [link] – quantum information ...
Another version - Scott Aaronson
... something very unlikely happens with complexity classes (PSPACEPP/poly) Proof Sketch: I proved in 2004 that PP=PostBQP Suppose C(|t)=nO(1). Then we could give a description of C as advice to a PostBQP machine, and the machine could Also have results for approximate circuit ...
... something very unlikely happens with complexity classes (PSPACEPP/poly) Proof Sketch: I proved in 2004 that PP=PostBQP Suppose C(|t)=nO(1). Then we could give a description of C as advice to a PostBQP machine, and the machine could Also have results for approximate circuit ...
Quantum Statistics - Ole Witt
... There is, however, an essential difference between the classical mechanical systems, and the quantum mechanical systems, namely for the latter, one always have to operate with ensembles, even if the system is in a certain state. The mean of a certain operator acting on the ensemble is given by the s ...
... There is, however, an essential difference between the classical mechanical systems, and the quantum mechanical systems, namely for the latter, one always have to operate with ensembles, even if the system is in a certain state. The mean of a certain operator acting on the ensemble is given by the s ...
Quantum kinetic theory for a condensed bosonic gas
... typically of the order of the duration of a collision. In the following discussion, we introduce three distinct many particle density operators. The first density operator r (t) describes the complete state of the many-particle system. Starting from an initial value r (0), the system evolves unitari ...
... typically of the order of the duration of a collision. In the following discussion, we introduce three distinct many particle density operators. The first density operator r (t) describes the complete state of the many-particle system. Starting from an initial value r (0), the system evolves unitari ...
Beables for Quantum Electrodynamics
... of the Dirac quantum field theory, axed around the notion of negativeenergy electrons. In that approach, there are only particles of charge −e but of positive and negative energy: their total number (fermionnumber) is conserved. We will see that this approach is a convenient one to study localized pr ...
... of the Dirac quantum field theory, axed around the notion of negativeenergy electrons. In that approach, there are only particles of charge −e but of positive and negative energy: their total number (fermionnumber) is conserved. We will see that this approach is a convenient one to study localized pr ...
Session 3
... statement finds a natural extension through the definition of Bertrand spacetime introduced by Perlick [1]; this is a spherically symmetric and static spacetime whose timelike geodesics satisfy properties analogous to those of the trajectories of the harmonic oscillator or Kepler systems. Furthermor ...
... statement finds a natural extension through the definition of Bertrand spacetime introduced by Perlick [1]; this is a spherically symmetric and static spacetime whose timelike geodesics satisfy properties analogous to those of the trajectories of the harmonic oscillator or Kepler systems. Furthermor ...
Continuity of the density of states in a magnetic field?
... and this quantity is obviously continuous in B. To get back to k, one needs the following standard result from measure theory (Billingsky 1968). ...
... and this quantity is obviously continuous in B. To get back to k, one needs the following standard result from measure theory (Billingsky 1968). ...
Quantum Information Science and Technology
... don’t electrons spiral into the nucleus of an atom? -this quantum formalism predicts all sorts of weird and non-intuitive things… e.g., the EPR thought experiment -1990’s… when technology evolves to the Copyright 2001 S.D. Personick, All rights reserved point where experiments can be ...
... don’t electrons spiral into the nucleus of an atom? -this quantum formalism predicts all sorts of weird and non-intuitive things… e.g., the EPR thought experiment -1990’s… when technology evolves to the Copyright 2001 S.D. Personick, All rights reserved point where experiments can be ...