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Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning

, 2017
The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories.
B. Coecke, A. Kissinger
semanticscholar   +1 more source

The Quantum Theory of Fields: THE CLUSTER DECOMPOSITION PRINCIPLE

, 1995
Up to this point we have not had much to say about the detailed structure of the Hamiltonian operator H . This operator can be defined by giving all its matrix elements between states with arbitrary numbers of particles.
S. Weinberg
semanticscholar   +1 more source

An Introduction To Quantum Field Theory

, 1995
Feynman Diagrams and Quantum Electrodynamics * Invitation: Pair Production in e+e- Annihilation * The Klein-Gordon Field * The Dirac Field * Interacting Fields and Feynman Diagrams * Elementary Processes of Quantum Electrodynamics * Radiative Corrections:
M. Peskin, Daniel V. Schroeder
semanticscholar   +1 more source

The Theory of Open Quantum Systems

, 2002
PREFACE ACKNOWLEDGEMENTS PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS 1. Classical probability theory and stochastic processes 2. Quantum Probability PART 2: DENSITY MATRIX THEORY 3. Quantum Master Equations 4.
H. Breuer, Francesco Petruccione
semanticscholar   +1 more source

Quantum mechanics: Non-relativistic theory,

, 1959
The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic molecules Motion in a magnetic field Nuclear structure ...
L. Landau, E. Lifshitz, J. Sykes, J. Bell, M. E. Rose   +4 more
semanticscholar   +1 more source

Quantum complexity theory [PDF]

Proceedings of the twenty-fifth annual ACM symposium on Theory of computing - STOC '93, 1993
In this dissertation we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing Machine in Deutsch's model of a quantum Turing Machine. This construction is substantially more complicated than the corresponding construction for classical Turing Machines--in fact, even ...
Umesh Vazirani, Ethan Bernstein
openaire   +1 more source

Error Correcting Codes in Quantum Theory.

Physical Review Letters, 1996
A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information ...
A. Steane
semanticscholar   +1 more source

Quantum Theory of a Laser

1990
This is the last chapter of this book, and the fourth that applies the quantum theory of the interaction of radiation with matter developed in Chaps. 13–15. So far, our treatment of quantized field-matter interactions has concentrated mostly on situations where the quantized field acts as a noise source: under these conditions the nonlinear atomic ...
Pierre Meystre, Murray Sargent
openaire   +2 more sources

On the theory of quantum groups

Letters in Mathematical Physics, 1990
By using the results of S. L. Woronowicz, we show that for the twisted version of the classical compact matrix groups, the Hopf algebraA h of representative elements is isomorphic as a co-algebra to the Hopf algebraA O of representative functions on the classical group.
openaire   +4 more sources

Quantum Theory of Gravity. I. The Canonical Theory

, 1967
Following an historical introduction, the conventional canonical formulation of general relativity theory is presented. The canonical Lagrangian is expressed in terms of the extrinsic and intrinsic curvatures of the hypersurface ${x}^{0}=\mathrm{constant}
B. Dewitt
semanticscholar   +1 more source