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Sep
27
comment Commutability of two physical quantity matrices
Do you have any example (if possible, relevant to QM) where $A$, and $B$ are noncommuting self adjoint operators but $C=A+B$ is not self adjoint.
Sep
27
comment Commutability of two physical quantity matrices
If two matrices $A$ and $B$ commute with each other and are diagonalizable then they can be simultaneously diagonalized. Conversely if two matrices can be simultaneously diagonalized then they will commute. What is your question regarding $C$ ?
Sep
25
awarded  Citizen Patrol
Sep
24
revised Conformal transformation/ Weyl scaling are they two different things? Confused!
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Sep
24
revised Conformal transformation/ Weyl scaling are they two different things? Confused!
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Sep
24
revised Conformal transformation/ Weyl scaling are they two different things? Confused!
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Sep
24
revised Conformal transformation/ Weyl scaling are they two different things? Confused!
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Sep
24
answered Conformal transformation/ Weyl scaling are they two different things? Confused!
Sep
22
comment Micro-canonical ensemble and classical reality
In the end physics has to connect itself to experiments, and the point is that no experiment can ever observe a purely isolated system.
Sep
20
revised Micro-canonical ensemble and classical reality
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Sep
19
revised Micro-canonical ensemble and classical reality
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Sep
19
revised Micro-canonical ensemble and classical reality
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Sep
19
answered Micro-canonical ensemble and classical reality
Sep
19
comment Equivalence of classical and quantized equation of motion for a free field
"How do we prove the equivalence of these two equation of motions?" equivalence in what sense ?
Sep
19
comment If it is given which intervals are spacelike, can be determined which intervals are lightlike?
In main body of your question you are effectively asking that if we are given two symmetric relations $S$ and $L$ on a set $X$, and if set of pairs of points which are $S$- related to each other are known, then is it possible to find set of pairs which are $L$-related to each other.
Sep
19
comment Is the commutation of all possible operators sufficient to identify a spacelike interval?
@use12262 I meant if (for two given timelike separated points $x$, and $y$) all fields at $x$ commute with all fields at $y$, and if your theory has scale covariance (besides Poincare covariance) then (it can be shown that) fields corresponding to any two timelike separated points will commute.
Sep
18
comment Is the commutation of all possible operators sufficient to identify a spacelike interval?
Suppose $x$, $y$ be timelike separated. From assumption that all fields at $x$ commute with all fields at $y$, it'll follow that all fields at $\Lambda x$ will commute with all fields at $\Lambda y$ (where $\Lambda$ is any Poincare transformation). If you assume covariance under scaling $x\rightarrow ax$ too then (from above assumption) you can prove a stronger result that fields at any two timelike separated points will commute. So at least for a nontrivial scale covariant theory all fields at two timelike separated points can't commute.
Sep
15
comment Commutation for constraints
Then i think notation $(\Phi_1,\Phi_2)$ would be more appropriate. $m$ may be confused for a variable subscript.
Sep
15
comment Commutation for constraints
Can you please explain your notation $(\Phi_m,\Phi)$ ?
Sep
8
revised Do I have the meaning of the property temperature correct?
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