Semiheaps and Ternary Algebras in Quantum Mechanics Revisited

نویسندگان

چکیده

We re-examine the appearance of semiheaps and (para-associative) ternary algebras in quantum mechanics. In particular, we review construction a semiheap on Hilbert space set bounded operators space. The new aspect this work is discussion how symmetries system induce homomorphisms relevant algebras.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Early Gedanken Experiments of Quantum Mechanics Revisited

The famous gedanken experiments of quantum mechanics have historically played crucial roles in trying to understand quantum mechanics and in developing the Copenhagen interpretation. They are re-examined here from the perspective of standard quantum mechanics, without a mix of any ontological interpretation. It is shown that, in most of these gedanken experiments, entanglement plays a crucial r...

متن کامل

Retrocausal Quantum Mechanics: Maudlins Challenge Revisited

In 1994, Maudlin proposed an objection to retrocausal approaches to quantum mechanics in general, and to the transactional interpretation (TI) in particular, involving an absorber that changes location depending on the trajectory of the particle. Maudlin considered this objection fatal. However, the TI did not die; rather, a number of responses were developed, some attempting to accommodate Mau...

متن کامل

Retrocausal Quantum Mechanics: Maudlins Challenge Revisited

In 1994, Maudlin proposed an objection to retrocausal approaches to quantum mechanics in general, and to the transactional interpretation (TI) in particular, involving an absorber that changes location depending on the trajectory of the particle. Maudlin considered this objection fatal. However, the TI did not die; rather, a number of responses were developed, some attempting to accommodate Mau...

متن کامل

Clifford Algebras in Symplectic Geometry and Quantum Mechanics

The necessary appearance of Clifford algebras in the quantum description of fermions has prompted us to re-examine the fundamental role played by the quaternion Clifford algebra, C0,2. This algebra is essentially the geometric algebra describing the rotational properties of space. Hidden within this algebra are symplectic structures with Heisenberg algebras at their core. This algebra also enab...

متن کامل

ذخیره 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: Universe

سال: 2022

ISSN: ['2218-1997']

DOI: https://doi.org/10.3390/universe8010056