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 Post subject: conservation laws for nonlinear schrodinger equationsPosted: Thu, 18 Jun 2009 04:02:44 UTC
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Joined: Mon, 12 Jan 2009 14:48:04 UTC
Posts: 13
nonlinear schrodinger equations

what's the invariants? how to prove?
the first three :

Last edited by gylpm on Thu, 18 Jun 2009 11:34:44 UTC, edited 1 time in total.

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 Post subject: Re: conservation laws for nonlinear schrodinger equationsPosted: Thu, 18 Jun 2009 09:56:04 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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gylpm wrote:
nonlinear schrodinger equations

what's the invariants? how to prove?
the first three :

You are looking at Hamiltonian density

So it is just a matter of finding self-adjoint operators commuting with Hamiltonian, then take integrals.

Of course, if you are asking how to prove the three you gave are invariants, then it is simpler to just differentiate them with respect to t.

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 Post subject: Posted: Thu, 18 Jun 2009 11:44:53 UTC
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Joined: Mon, 12 Jan 2009 14:48:04 UTC
Posts: 13
Not only these three invariants, it is an infinit sequence,
Can you tell me where i can get the knowledge about this topic, i am an autodidact

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