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visits member for 3 years, 7 months
seen May 1 '12 at 20:42

Scientist


Sep
24
awarded  Autobiographer
Apr
30
awarded  Yearling
Nov
29
revised On Chevalley's linear identification of the Clifford algebra $C(\mathbf p)$ with the exterior algebra $\wedge \mathbf p$
added 66 characters in body
Nov
29
revised On Chevalley's linear identification of the Clifford algebra $C(\mathbf p)$ with the exterior algebra $\wedge \mathbf p$
improved formatting and notation
Nov
29
revised On Chevalley's linear identification of the Clifford algebra $C(\mathbf p)$ with the exterior algebra $\wedge \mathbf p$
j -> j-1
Nov
29
answered On Chevalley's linear identification of the Clifford algebra $C(\mathbf p)$ with the exterior algebra $\wedge \mathbf p$
Jul
18
comment Irreducible representations of Poincaré group
I myself would be glad to know about more general case also ...
Jul
17
awarded  Commentator
Jul
17
comment Irreducible representations of Poincaré group
Is it question about irreducible unitary representations?
Jul
16
revised Irreducible representations of Poincaré group
corrected spelling, added new references
Jul
15
answered Irreducible representations of Poincaré group
Jun
27
comment Grassmann numbers as eigenvalues of nilpotent operators?
After all, short resume of my answer is rather "no they can't"...
Jun
27
comment Grassmann numbers as eigenvalues of nilpotent operators?
@Greg Graviton: $a$ acts on $|\eta\rangle$, not on $\eta$, but there is standard map $\mathbb C^n \to \Lambda^1 \mathbb C^n$.
Jun
25
comment Grassmann numbers as eigenvalues of nilpotent operators?
@Greg Graviton: An example of the construction: $|\eta\rangle = c_{00} + c_{01}\eta + c_{10}\bar{\eta}+c_{11}\eta\bar{\eta}$, $a|\eta\rangle = c_{00}\eta + c_{01} + c_{10}\eta\bar{\eta}+c_{11}\bar{\eta}$, $\eta|\eta\rangle = c_{00}\eta + c_{10}\eta\bar{\eta}$, so from $a|\eta\rangle = \eta|\eta\rangle$ follows $|\eta\rangle = c_{00} + c_{10}\bar{\eta}$.
Jun
24
comment Grassmann numbers as eigenvalues of nilpotent operators?
I doubt. But Fock space certainly presents there. Anyway, $a$ and $\eta$ are formally different things in my models.
Jun
24
answered Grassmann numbers as eigenvalues of nilpotent operators?
Jun
23
comment Grassmann numbers as eigenvalues of nilpotent operators?
It seems to me, that description of that stuff, e.g., in "Gauge Fields, Introduction to Quantum Theory, Faddeev and Slavnov" (Translated 1980) is more "comfortable" in comparison with cited book. But, anyway, why "eigenvalues" anticommute with its own operators?
Jun
22
comment Grassmann numbers as eigenvalues of nilpotent operators?
I deleted the comment before read the answer
Jun
13
comment What is known about functions of type $f(n+1) = f(n)^ {f(n)}$?
J.E. Littlewood introduced analogue of the "double arrow" even earlier than Knuth, at 1948 and it is reprinted in a chapter "large numbers" in his "A Mathematician's Miscellany". He even used some idea about numbers like $N_{2.47}$. It is here archive.org/details/mathematiciansmi033496mbp page 100.
Jun
3
comment Explicitly reconstructing a function from its moments
Marty: I also have tried in such a style, but seems OP is searching for something else. Likely, en.wikipedia.org/wiki/Stieltjes_moment_problem is also not appropriate.