A Functional Model for Quantum Mechanics: Unbounded Operators
نویسندگان
چکیده
منابع مشابه
Pseudo-Hermitian quantum mechanics with unbounded metric operators.
I extend the formulation of pseudo-Hermitian quantum mechanics to η(+)-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator η(+). In particular, I give the details of the construction of the physical Hilbert space, observables and equivalent Hermitian Hamiltonian for the case that H has a real and discrete spectrum and its eigenvectors belong to the domain of η(+) and cons...
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 کاملNon commutative functional calculus: unbounded operators
In a recent work, [3], we developed a functional calculus for bounded operators defined on quaternionic Banach spaces. In this paper we show how the results from [3] can be extended to the unbounded case, and we highlight the crucial differences between the two cases. In particular, we deduce a new eigenvalue equation, suitable for the construction of a functional calculus for operators whose s...
متن کاملSpectator-model operators in point-form relativistic quantum mechanics
We address the construction of transition operators for electromagnetic, weak, and hadronic reactions of relativistic few-quark systems along the spectator model. While the problem is of relevance for all forms of relativistic quantum mechanics, we specifically adhere to the point form, since it preserves the spectator character of the corresponding transition operators in any reference frame. ...
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: Mathematical Methods in the Applied Sciences
سال: 1997
ISSN: 0170-4214,1099-1476
DOI: 10.1002/(sici)1099-1476(199706)20:9<745::aid-mma878>3.0.co;2-7