Question

2 The Square Barrier Let's work out the transmission coefficient T for a rectangular barrier defined by V(x) = { SV -a < x <a 10 21 >a for Vo > 0. There are three possible cases of interest: E<V, E = Vo, and E > Vo; the wavefunction inside the barrier is different in each case. (a) Find T-1 for E < Vo (b) Find T-1 for E= V (c) Find T-1 for E > V. (Hint: This one is easily related to the finite square well.)

Answer 1

Velo bela V(x) = { No -acara 5 Vo am da a = EY ( for acna, 42 he dnik + Be e from 72m2 +V, V 6V l for -acacon) WW BY (for - acxcm) ** An dem Vo =) ? dy daz 1 V2 mv y ze ela the lx con mi s - cop' (tom aza) y z felka Chika+Berika xera s celat de la LoLyca do reikx a79

continuity of 4 at -a of u at -a Lika nika la la A eh + Bezcé + De Ia - Dola continuity of t at a Rok ikl keika e Belka). al(ce la bela) 27 202. iva = (1-34722-49- (in ih) peka continuity of 4 at at cela tibela Felike continuity of to at a: ile ela. De ha) zikreina a geel? (in i reikia And aperta = (1-44) & Feira en amerikke (1 - 1) (1 k) so ho ( ( - 15 min 4

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E = Votes lesbian By the same procedite ya pika + Benika ala a for rastla g tvis tog si 20). 4 = c+ DX . And for xia Yzfelke Cheira +Beina acra non Yo Sheikh I etda nalaza Dei I Feira .

continuous y at - ai dentka + Belta enda in ynta: Fejke et sa te 7 2 Da = Felka Heni'ka a Belka. continuous 4' ert - ai i klaenika Belka) = D. on your watta : ;kfeika z giva ♡ Ae -BZF Eliminating D, we obtain - 2114 he an+BZF-Qiakf = f(l-riak) hesika Hezika ozF a fringian) 2#ezika geri El VO This is identical to . Vo potential. ele gele lint ( tan Vanley ( Aee CribbiFi)