SPACETIME VERSUS QUANTUM MECHANICS

... Black hole evaporation exposes an inconsistency between quantum mechanics and general relativity: Hawking (1976): Information is lost Quantum mechanics must be modified, replacing the Smatrix with ... horizon? Quantum mechanics for the infalling observer? So, what to give up? Purity of the Hawking radiation? Absence of drama for the infalling observer? EFT/locality outside the hor...

Ngày tải lên: 27/09/2017, 09:47

Ngày tải lên: 05/06/2014, 11:32

Ngày tải lên: 17/03/2014, 14:41

... distinction between classical mechanics and quantum mechanics is that, in classical mechanics, the state of the dynamic system is completely specified by the position and velocity of each constituent ... example) According to Newtonian mechanics, the state of the particle at any time t is Classical mechanics vs quantum mechanics completely specified in terms of the n...

Ngày tải lên: 17/03/2014, 14:41

... CONTENTS Contents Historical notes 1.1 1.2 1.3 1.4 1.5 Origins in functional analysis and quantum mechanics Rings of operators (von Neumann algebras) Reduction of unitary group representations ... in nity because it is constant), but an approximate unit may be constructed as follows: take = N , and take In to be a continuous function which is on ;n n] and vanishes for jxj >...

Ngày tải lên: 17/03/2014, 14:41

... Atomic Schr¨dinger operators o §11.1 Self-adjointness §11.2 The HVZ theorem 189 189 191 Chapter 12 Scattering theory §12.1 Abstract theory §12.2 Incoming and outgoing states §12.3 Schr¨dinger operators ... and f ∈ X, and • f + g ≤ f + g for all f, g ∈ X (triangle inequality) From the triangle inequality we also get the inverse triangle inequality (Problem 0.1) | f − g |≤ f g (0.15) O...

Ngày tải lên: 17/03/2014, 14:41

... study of 2D string theory 34 2 Matrix models and random surfaces Fig II.1: Duality between Feynman graphs and discretized surfaces Similarly, one can consider 3, 4, etc matrix models Their definition ... fundamental physics But suddenly another reason was found Each string possesses a spectrum of excitations All of them can be interpreted as particles with different spins and...

Ngày tải lên: 17/03/2014, 14:41

Ngày tải lên: 17/03/2014, 14:42

... to approach the problem from an entirely different direction, namely, by using a statistical mechanics approach Statistical mechanics was a branch of theoretical physics that described the behavior ... pursue these various ramifications VI WAVE MECHANICS We have already mentioned that the formulation of wave mechanics was the next important advance in the formulation of quantu...

Ngày tải lên: 17/03/2014, 14:42