What is quantum chaos?
... 3. Are there other universality class in quantum chaos? How many? 4. Is localization relevant in quantum chaos? ...
... 3. Are there other universality class in quantum chaos? How many? 4. Is localization relevant in quantum chaos? ...
x - PMF
... metric. It is invariant under coordinate transformation on three-space. • No external time parameter is present anymore – theory is “timeless” •Wheeler-DeWitt equation is hyperbolic •this approach is good candidate for a non-perturbative quantum theory of gravity. It should be valid away the Planck ...
... metric. It is invariant under coordinate transformation on three-space. • No external time parameter is present anymore – theory is “timeless” •Wheeler-DeWitt equation is hyperbolic •this approach is good candidate for a non-perturbative quantum theory of gravity. It should be valid away the Planck ...
The Lee-Wick Fields out of Gravity
... was argued to be a physical resonance and unitarity is preserved despite the wrong sign in (11). As a result, one is left with a theory containing both massless and massive spin one fields. Similar to photons, the massive Lee-Wick vector fields also serve as mediators of the electromagnetic interac ...
... was argued to be a physical resonance and unitarity is preserved despite the wrong sign in (11). As a result, one is left with a theory containing both massless and massive spin one fields. Similar to photons, the massive Lee-Wick vector fields also serve as mediators of the electromagnetic interac ...
Orthogonal polynomials, special functions and mathematical physics
... symmetry there corresponds a group. The carrier space of some irreducible representation of a group can be expressed with the help of special functions [15]. In this symposium there have been proposed some particular groups associated to the Lagrangian, with the help of root systems of a classical L ...
... symmetry there corresponds a group. The carrier space of some irreducible representation of a group can be expressed with the help of special functions [15]. In this symposium there have been proposed some particular groups associated to the Lagrangian, with the help of root systems of a classical L ...
20071008133014301
... In recent years we have realized that strings in 10d are in fact the QCD string… a weird and wonderful alternative description of quarks and glue… Maldacena ...
... In recent years we have realized that strings in 10d are in fact the QCD string… a weird and wonderful alternative description of quarks and glue… Maldacena ...
Note 1
... S-matrix have particles at infinity, and gauge transformations acting at infinity are true symmetries. They take one physical state to a di↵erent physical state — unlike local gauge transformations, which map a physical state to a di↵erent description of the same physical state. In gravity, local di ...
... S-matrix have particles at infinity, and gauge transformations acting at infinity are true symmetries. They take one physical state to a di↵erent physical state — unlike local gauge transformations, which map a physical state to a di↵erent description of the same physical state. In gravity, local di ...
to be completed. LECTURE NOTES 1
... It is not hard to check that WH is a well-defined continuous map from S to S for any H ∈ S 0 (R2n ). The well-known Schwartz kernel theorem then states that every continuous operator on S can be written as WH for some H ∈ S 0 (R2n ). The map H ∈ S(R2n ) → WH ∈ L(S, S) is called the Weyl corresponden ...
... It is not hard to check that WH is a well-defined continuous map from S to S for any H ∈ S 0 (R2n ). The well-known Schwartz kernel theorem then states that every continuous operator on S can be written as WH for some H ∈ S 0 (R2n ). The map H ∈ S(R2n ) → WH ∈ L(S, S) is called the Weyl corresponden ...