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Hi.

I need something to use Maple for solving Finsler equations and I heard mathematications use Finsler package based on Maple but I couldn't find any information about it? Who can help me

Hello,

I am working on a physics problem that involves a bead on roating hoop. You need to use Lagrangians to solve this problem but this is not where i am strugling. My school expects us to use maple because it is the program the provide but none of the teachers know how to usem it (they use mathmatica) so they cant help us. We have the equation: θ"= [ω2*cos(θ)-(g/R)]sin(θ) and the initial cond. θ'(0)=0 and θ(0)=θ

Hello,

 

I tried implementing anti-commuting variables in my program with the use of physics package:

 Physics[setup](anticommutativeprefix=theta);

Checked that theta is anticommuting:

type(theta_i,anticommutative);

Received true, however computation like:

theta_2 * theta_1 - theta_1 * theta_2 ;

Gives 0, not accounting the anticommuation properly. How can i fix this?

 

I am trying to compute commutator like this [d_t +J_x,d_x+J_t], where d_t and d_x are differential operators, J_x and J_t, which contains generators of group, are some currents on group manifold. terms like this [J_x,J_t] could sovled by physics package, but how to manipulate [d_t,J_x]? How to define operator d_t in order to make the commutator works? and if it works we might have another problem as [d_t,J_x]=[d_t, J^a_x*T_a], where T_a are generators, the result is T_a *d_t(J^a_x...

I am trying to solve the so called Bethe ansatz equations in Mathematical Physics.

I have four multivariate polynomials equations with four unknown p_i(x[1],x[2],x[3],x[4]) i=1,2,3,4; which have integer coefficients. The equations are mixed; P_i is linear in x[j] for x[j]\ne x[i]; and x[i] is of order 10. Due to this structure,  I first eliminate x[4] from these equations. Then use resultant to eliminate x[3],  I got error messages (invalid series, in gcd...

I am currently taking a course in quantum mechanics using the second edition of McQuarrie's Quantum Chemistry text. I plan to take a QM II course, more concentrating on atomic and molecular spectra. I have been using Mathcad 15, which includes Maple functionality (please pardon my stating the obvious). Mathcad, however, seems to lack functionality (or I have not found it) that would be helpful, like the ability to easily define an operator. Since...

Hi everybody,

during testing the physics package I tried the following example

with(Physics):

Setup(anticommutativeprefix = {Q});

G:= Intc(Q1(x),Q2(y),x,y);

Fundiff(G,Q2(u));

The output of the last command seems to be wrong. The Maple Help does not say anything about functional derivatives with respect to anti commuting functions.

Is there a possibility to perform such functional derivatives with respect to anti commuting functions in Maple?...

I was trying to use the LeviCivita in the physics package to type the left side of the following equation and let maple compute the right side, where it considers the totally antisymmetric tensor identity which reduces to 4 Kronckers. Then the Kroneckers disappear and give rise to the right hand side. But I don't know how to tell maple to do this. There is also another Levi_Civita command in the tensor package.

 

Hi:

I am trying to use the Physics package to help me deal with non-commuting operators, but having some problems when trying to simplify expressions.The following should explain what i mean:

 

################

restart:
with(Physics):
# 'a' represents a quantum operator
Physics[Setup](noncommutativeprefix={a}, mathematicalnotation = true);

#we can try to expand to see that a and Dagger(a) do not commute!
expand((2*a+Dagger(a))^2);

I have uploaded to the Maplesoft Application Center a worksheet exploring the orbital dynamics of the recently discovered Kepler 16 system, where a planet orbits a double star. 

Your comments and suggestions will be appreciated.

with(Physics):with(combinat):
comn := choose([u, v, mu, nu], 2):


def := seq(seq(seq(Physics[`.`](Dagger(Ket(aa, k)), Ket(bb, m)) = Physics[`.`](Ket(bb, m), Dagger(Ket(aa, k))), `in`(aa, comn[i][1])), `in`(bb, comn[i][2])), i = 1 .. nops(comn)), seq(seq(seq(Dagger(Physics[`.`](Dagger(Ket(aa, k)), Ket(bb, m)) = Physics[`.`](Ket(bb, m), Dagger(Ket(aa, k)))), `in`(aa, comn[i][1])), `in`(bb, comn[i][2])), i = 1 .. nops(comn));
Setup(def):

d1 := Physics[`.`...

I am trying to use second quatized operators in the Maple Physics package.  These operators obey the commutation relations:

[psiA(x1),psiB(x2)] = Dirac(x1-x2) and [psiA(x1),psiC(x2)] = 0 for example.  The commutator therefore depends on the arguments of the operators.

Using:

> with(Physics);

> Setup(quantumoperators = {psiA,psiB,psiC},algebrarules={%Commutator(psiA(w),psiB(v)) = Dirac(w-v),%Commutator(psiA(w),psiC(v))=0})

Hi, friends

The physics package was provided a good tool to compute Commutator or anticommutator relations. Here, I met some problems.

Example 1:

      restart: with(Physics):Setup(mathematicanotaion=true):

      Setup (op={p[x],p[y]},p[z]):

      alg:=%commutator(p[z],p[x])=2p[x], %commutator(p[z],p[y])=-2p[y], %commutator(p[x],p[y])= p[z]

I tried to use the Physics package in maple 13 to make operations in the algebra M_2(E) - the algebra of 2x2 matrices over the grassmann (or exterior) algebra. E is a noncommutative algebra, and some of its elements anticommute with each other.

The problem is that when I multiply such matrices, the answer is not right. Maple multiply this matrices considering the entries as commutative, what is not true.

Here are the commands I used:

> with(Physics);

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