scholarly journals Bypassing Pauli's theorem

2005 ◽  
Vol 334 (5-6) ◽  
pp. 370-375 ◽  
Author(s):  
José M. Isidro
Keyword(s):  
Pauli’S Theorem

On Pauli's theorem in Clifford algebras

2019 ◽  
pp. 16-31
Author(s):  
Sergey Petrovich Kuznetsov ◽  
◽  
Vladimir Viktorovich Mochalov ◽  
Vasilii Petrovich Chuev ◽  
◽  
...  
Keyword(s):  
Clifford Algebras ◽  
Pauli’S Theorem

On Pauli’s Theorem in Clifford Algebras

2019 ◽  
Vol 63 (11) ◽  
pp. 13-27
Author(s):  
S. P. Kuznetsov ◽  
V. V. Mochalov ◽  
V. P. Chuev
Keyword(s):  
Clifford Algebras ◽  
Pauli’S Theorem

scholarly journals Self-adjoint time operator of a quantum field

2020 ◽  
Vol 18 (01) ◽  
pp. 1941016
Author(s):  
Hou Y. Yau
Keyword(s):  
Adjoint Operator ◽  
Dynamical Variable ◽  
Matter Field ◽  
Quantum Field ◽  
Time And Space ◽  
Bosonic Field ◽  
Pauli’S Theorem ◽  
Interesting Candidate ◽  
Klein Gordon ◽  
Temporal And Spatial

We study the properties of a quantum field with time as a dynamical variable. Temporal vibrations are introduced to restore the symmetry between time and space in a matter field. The system with vibrations of matter in time and space obeys the Klein–Gordon equation and Schrödinger equation. The energy observed is quantized under the constraint that a particle’s mass is on shell. This real scalar field has the same properties of a zero-spin bosonic field. Furthermore, the internal time of this system can be represented by a self-adjoint operator without contradicting the Pauli’s theorem. Neutrino can be an interesting candidate for investigating the effects of these temporal and spatial vibrations because of its extremely light weight.

On Pauli’s Theorem in the Clifford Algebra $${\varvec{R}}_\mathbf{1,3 } $$

2019 ◽  
Vol 29 (5) ◽  
Author(s):  
S. P. Kuznetsov ◽  
V. V. Mochalov ◽  
V. P. Chuev
Keyword(s):  
Clifford Algebra ◽  
Pauli’S Theorem
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