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Re: Re: Quantum Algebra

• To: mathgroup at smc.vnet.net
• Subject: [mg41269] Re: [mg41259] Re: Quantum Algebra
• From: David Terr <dterr at wolfram.com>
• Date: Sun, 11 May 2003 03:49:44 -0400 (EDT)
• References: <200305100803.EAA25980@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Cesar Guerra wrote:

>Hi MathGroup:
>
>David Terr, so sorry about my poor English. What I
>wanted to say is that I designed a package to do
>Quantum Mechanics that do not include numerical
>alghorithms for specific problems but general
>algebraic ones using linear algebra properties in
>Dirac notation.
>
Thank you for your explanation. I look forward to trying out your 
notebook. By the way, when I studied quantum mechanics I remember 
learning that there are essentially only two exactly solvable physical 
quantum mechanical systems, namely the 3D harmonic oscillator and the 
hydrogen atom (and possibly the square well, although that's not really 
a physical system). For all the rest, various approximation techniques 
need to be used. Can these systems still be solved algebraically? If so, 
how?

David

• References:
  • Re: Quantum Algebra
    • From: Cesar Guerra <guerra_cesar@yahoo.com>