Superpositions of unitary operators in quantum mechanics
نویسندگان
چکیده
منابع مشابه
Pseudo-Unitary Operators and Pseudo-Unitary Quantum Dynamics
We consider pseudo-unitary quantum systems and discuss various properties of pseudounitary operators. In particular we prove a characterization theorem for block-diagonalizable pseudo-unitary operators with finite-dimensional diagonal blocks. Furthermore, we show that every pseudo-unitary matrix is the exponential of i = √ −1 times a pseudo-Hermitian matrix, and determine the structure of the L...
متن کاملQuantum Mechanics with Difference Operators
A formulation of quantum mechanics with additive and multiplicative (q-) difference operators instead of differential operators is studied from first principles. Borel-quantisation on smooth configuration spaces is used as guiding quantisation method. After a short discussion this method is translated step-by-step to a framework based on difference operators. To restrict the resulting plethora ...
متن کاملON QUANTUM GROUP OF UNITARY OPERATORS QUANTUM ‘az + b’ GROUP
The concept of a quantum group of unitary operators is relevant for the theory of non-compact locally compact quantum groups. It plays similar role as the concept of a quantum matrix group in the compact case. To show the usefulness of this notion we present an approach to a construction of quantum ‘az + b’ group based on this idea. A brief survey of the present status of quantum group theory i...
متن کاملTensor operators in noncommutative quantum mechanics.
Some consequences of promoting the object of noncommutativity theta(ij) to an operator in Hilbert space are explored. Its canonical conjugate momentum is also introduced. Consequently, a consistent algebra involving the enlarged set of canonical operators is obtained, which permits us to construct theories that are dynamically invariant under the action of the rotation group. In this framework ...
متن کاملReconstruction of Quantum Mechanics with Information Operators
We reconstruct quantum mechanics by introducing ”information operators” and excluding the concept of wave functions. Multiple information operators simultaneously describe a single system and continuously develop in time even in the process of a measurement. We also introduce the concept of condensation for a system with many degrees of freedom in a rather general meaning. In terms of the multi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IOP SciNotes
سال: 2020
ISSN: 2633-1357
DOI: 10.1088/2633-1357/abd1d2