The Third Kind of Particles
Neither Bosons Nor Fermions, Not Anyons Either
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Everything in the universe is made of two kinds of spin particles, the Boson and the Fermion. Those with integer value spin 0 ,1 ,2 ...are Bosons,with half-integer value spin /2, 3 /2, 5 /2... are Fermions. The spin representations of Boson and Fermion in conventional quantum mechanics are expressed by Hermitian matrices, which are finite dimensional matrices. Are there so-called the Third Kind of Particles (TKP), for example, whose spin maybe /3, /4, /5, /6..., which are neither Bosons nor Fermions? Using Non-Hermitian orbital angular momentum operator, I find that in three dimensional spaces...
Everything in the universe is made of two kinds of spin particles, the Boson and the Fermion. Those with integer value spin 0 ,1 ,2 ...are Bosons,with half-integer value spin /2, 3 /2, 5 /2... are Fermions. The spin representations of Boson and Fermion in conventional quantum mechanics are expressed by Hermitian matrices, which are finite dimensional matrices. Are there so-called the Third Kind of Particles (TKP), for example, whose spin maybe /3, /4, /5, /6..., which are neither Bosons nor Fermions? Using Non-Hermitian orbital angular momentum operator, I find that in three dimensional spaces, the spin representations of TKP can be expressed by semi-infinite or infinite dimensional Non-Hermitian matrices. Such figure can be extended to Boson and Fermion. This book is concise and informative,which is the consequence of author's recent works, "The Third Kind of Particles",ISBN 978-988-15598-9-0 (2012),that designed to serve to the needs of workshop and seminar. More detailed materials related to derivative process and idea evolvement of TKP are given in that book. much remains yet to be done for students and researchers who are interesting in this subject,amazing TKP particles.
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