منابع مشابه
Quantum State Diffusion, Measurement and Second Quantization
Realistic dynamical theories of measurement based on the diffusion of quantum states are nonunitary, whereas quantum field theory and its generalizations are unitary. This problem in the quantum field theory of quantum state diffusion (QSD) appears already in the Lagrangian formulation of QSD as a classical equation of motion, where Liouville’s theorem does not apply to the usual field theory f...
متن کاملQuantum state diffusion, measurement and second quantization by
Realistic dynamical theories of measurement based on the diffusion of quantum states are nonunitary, whereas quantum field theory and its generalizations are unitary. This problem in the quantum field theory of quantum state diffusion (QSD) appears already in the Lagrangian formulation of QSD as a classical equation of motion, where Liouville’s theorem does not apply to the usual field theory f...
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We present a quantum algorithm for simulating the dynamics of a first-quantized Hamiltonian in real space based on the truncated Taylor series algorithm. We avoid the possibility of singularities by applying various cutoffs to the system and using a high-order finite difference approximation to the kinetic energy operator. We find that our algorithm can simulate η interacting particles using a ...
متن کاملSecond Quantization and Lorentz Invariance
The problem of Lorentz invariance is treated in the conventional quantum field theory as follows: I) Field variables are transformed as classical quantities. II) Next, the procedure of the second quantization is performed in the new coordinate system. Then the commutation relations are retained to be invariant. However, as Wignerl) has pointed out, the invariance of the commutation relations do...
متن کاملInduced Second Quantization
The notion of induced second quantization is introduced as an unavoidable aspect of the induction procedure for metric and spinor connection, which is the key element of TGD. Induced second quantization provides insights about the QFT limit, about generalizes Feynman diagrammatics, and about TGD counterpart of second quantization of strings which appear in TGD as emergent objects. Zero energy o...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2017
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216517410061