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Consider a gas of N identical spin-0 bosons confined by an isotropic three-dimensional harmonic oscillator potential. The energy levels in this potential are e=nhf, where n is any nonnegative integer and f is the classical oscillation frequency. The degeneracy of level n is (n+1)(n+2)/2.


(a) Find a formula for the density of states, g(e), for an atom confined by this potential.

(b) Find a formula for the condensation temperature of this system in terms of the oscillation frequency f.

(c) This potential effectively confines particles inside a volume of roughly the cube of the oscillation amplitude. The oscillation amplitude, in turn, can be estimated by setting the particle's total energy (of order kT) equal to the potential energy of the "spring". Making these associations, and neglecting all factors of 2 and pi and so on, show that your answer to part (b) is roughly equivalent to the formula for the condensation temperature of bosons confined inside a box with rigid walls.

2006-06-11 20:19:27 · 5 answers · asked by Anonymous in Physics

2006-06-11 20:19:15 · 22 answers · asked by abuhlal a 1 in Religion & Spirituality

i had a friends.she married has one beautiful son, but her married is not so great with her husband.so she tried to get a luv from another person.and now she got a boyfriend and i thought this is not right at all.so what should i do, telling her family or not cuz this is wrong right.help me...by d ways i already talked to her..

2006-06-11 20:19:11 · 7 answers · asked by danial rulli 2 in Marriage & Divorce

PLEASE READ THIS ARTICLE FROM LAST WEEK SAN FRANCISCO EXAMINIER:
http://sfpaper.examiner.com/content/e-edition/2006/06/05/12/39.pdf
and you are welcome to send them an email!!!

2006-06-11 20:19:08 · 7 answers · asked by soccer_mind 5 in Other - Football

how does a guy know that hes gay? ive been fantasizing about my best friend lately, but ive been straight my entire life, ive never ever been into guys at all. is it weird that im constantly thinking about my friends muscles, lips, eyes, and watever. is it possible to just have a little man crush but still be straight? is it even normal to turn gay when youre 18?

2006-06-11 20:18:47 · 31 answers · asked by cliff_soccer 1 in Lesbian, Gay, Bisexual, and Transgender

Church attendance in U.S.A.is gradually diminishing.In almost all churches and public meetings someone gives "witness"to God`s miracles as though everyone requires a proof of Jesus` power.Preachers enjoin Christians not to visit places of worship of other religions to avoid destraction.A lot of cash is spent for propagating faith.

2006-06-11 20:17:44 · 5 answers · asked by J.SWAMY I ఇ జ స్వామి 7 in Religion & Spirituality

would you rather be fat? or annorexic? i reading an article in a magazine... just curious

2006-06-11 20:17:28 · 8 answers · asked by i_love_orange_crush_05 6 in Other - Health

I like the idea of a referee being able to give a fighter a few seconds and to take a look at him before stopping the fight.

2006-06-11 20:17:01 · 6 answers · asked by Flif 7 in Boxing

..Thanks for answering..in advance!: ...

2006-06-11 20:16:51 · 44 answers · asked by Kimberly 6 in Philosophy

my msn and yahoo messengers wont let me cuz its too big. i cant email it through hotmail, yahoo, or my internet provider email. I'm not very computer smart so I cant figure out how to send it.

2006-06-11 20:16:30 · 8 answers · asked by jbarker 2 in Other - Computers

I've been told in a different answer to market my product on myspace, which is art. I'm not sure what's the best way to go about this? Should I just use it for an advertisement and link to my webpage after making one? Where's the best place to make a webpage? I need some help here! I'm an ameteur! :(

2006-06-11 20:16:24 · 3 answers · asked by Anonymous in Advertising & Marketing

I was told it would look cute on me and I was considering it but, I'm not sure how I'd like it afterwards and if i changed my mind after I had it done if the hole would heal good enough that noone would notice that it was ever pierced.

2006-06-11 20:16:06 · 13 answers · asked by ? 1 in Skin & Body

In April I learned I was expecting a child. The pregnancy was unexpected, but adoption seemed the more ethical route. Currently, I am approximately 8 weeks pregnant. I am an engaged female who is 24 years old and I am a college junior. I stand at 5'4, weigh 103 pounds, I am white with blonde hair, blue eyes, Italian /Irish, and I am creative, and bright. The health of myself, the father and the baby are perfect. The father's name is Hugo. He is 28 years old and is 5'11, 150 pounds, and has hazel eyes, brown hair and is Finnish.This is our first child. I am looking for a nuturing and responsible married couple who would meet with my Hugo and I in person to discuss this most important matter further. Our basic criteria is first and foremost the impression and backgroung check of the adoptive parents, and then we can move on to issues such as legal contracts, health coverage as I am not insured, financial matters, etc. If you are an interested couple, please contact us ASAP. God bless.

2006-06-11 20:16:04 · 11 answers · asked by Golden One 1 in Other - Pregnancy & Parenting

2006-06-11 20:15:52 · 35 answers · asked by spenderalla34 2 in Religion & Spirituality

I've seen them do it in movies, but given that these things are going Mach 3+ I find it hard to believe...

2006-06-11 20:15:28 · 5 answers · asked by spfxi 2 in Military

I think Cristiano Ronaldo will beat him ... He`s a talent ..

2006-06-11 20:15:03 · 11 answers · asked by blaCk angel 1 in FIFA World Cup (TM)

2006-06-11 20:14:34 · 10 answers · asked by angel 2 in Fashion & Accessories

I might have miscategorized my question right here ----->http://answers.yahoo.com/question/?qid=20060611235127AAaTWYj&r=w

This audience might know more about it. Thanks.

2006-06-11 20:14:17 · 2 answers · asked by Jason 3 in Other - General Health Care

but y does he not have anything to do with his beautiful wife, when she needs only him?

2006-06-11 20:14:15 · 3 answers · asked by smiles 1 in Marriage & Divorce

One Lord, one faith, one baptism? This is still One God....?
Ephesians 4:4
There is one body, and one spirit, even as ye are called in ONE hope of your calling.

Ephesians 4:5
One Lord, one faith, one baptism.
Ephesians 4:6
One God, and Father of all, who is above all, and through all, and in you all.
Ephesians 4:7
Bur unto every one of us is given grace according to the measures of the gift of Christ.

Do you still think their is more then one God, Christ Jesus in heaven?

I pray in Jesus Name that this at least open one person eyes to see the trueth in you name sake Aman.

2006-06-11 20:14:15 · 26 answers · asked by spenderalla34 2 in Religion & Spirituality

..Thanks for answering..in advance!:) ..

2006-06-11 20:14:13 · 14 answers · asked by Kimberly 6 in Philosophy

I have a Dell flat panel monitor, to which, I am not sure if the resolution is even set correctly.

Also, why does this monitor's screen seem to jitter every now an then? Has this something to do with drivers?

Thanks for your answers. :)

2006-06-11 20:13:59 · 3 answers · asked by Anonymous in Monitors

2006-06-11 20:13:53 · 20 answers · asked by ajay 2 in Cricket

If a women masterbates the men by holding his organ will be good sex

2006-06-11 20:13:30 · 8 answers · asked by sum4Ans 1 in Other - Family & Relationships

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